From ae163d14caad4e3317d35fa313a1850e98f8581e Mon Sep 17 00:00:00 2001 From: mhjensen Date: Fri, 6 Apr 2018 12:01:41 -0400 Subject: [PATCH] Update on first section --- .../Finance/Financial_Transactions.ipynb | 1609 +++++++++++++++++ doc/Programs/Finance/agents.py | 35 + doc/Programs/LifeScience/Hudson_Bay.csv | 22 + doc/Programs/LifeScience/Hudson_Bay.py | 43 + doc/Programs/LifeScience/diffeq.py | 12 + doc/Programs/LifeScience/ecoli.csv | 11 + doc/Programs/LifeScience/ecoli.py | 27 + doc/Programs/LifeScience/ecoli_inverse.py | 27 + doc/Programs/LifeScience/plot_Hudson.py | 19 + doc/src/How2ReadData/How2ReadData.do.txt | 880 +++++++++ doc/src/How2ReadData/fig/SIR1.pdf | Bin 0 -> 11787 bytes doc/src/How2ReadData/fig/SIR1.png | Bin 0 -> 32870 bytes doc/src/How2ReadData/fig/SIR2.pdf | Bin 0 -> 20900 bytes doc/src/How2ReadData/fig/SIR2.png | Bin 0 -> 53373 bytes doc/src/How2ReadData/fig/SIR2_025b.pdf | Bin 0 -> 12689 bytes doc/src/How2ReadData/fig/SIR2_025b.png | Bin 0 -> 31104 bytes 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doc/src/How2ReadData/fig/disease1.jpg | Bin 0 -> 159748 bytes doc/src/How2ReadData/fig/disease2.jpg | Bin 0 -> 8930 bytes doc/src/How2ReadData/fig/p_discont.pdf | Bin 0 -> 8164 bytes doc/src/How2ReadData/fig/p_discont.png | Bin 0 -> 15886 bytes doc/src/How2ReadData/fig/zombie1.jpg | Bin 0 -> 70985 bytes 37 files changed, 2685 insertions(+) create mode 100644 doc/Programs/Finance/Financial_Transactions.ipynb create mode 100644 doc/Programs/Finance/agents.py create mode 100644 doc/Programs/LifeScience/Hudson_Bay.csv create mode 100644 doc/Programs/LifeScience/Hudson_Bay.py create mode 100644 doc/Programs/LifeScience/diffeq.py create mode 100644 doc/Programs/LifeScience/ecoli.csv create mode 100644 doc/Programs/LifeScience/ecoli.py create mode 100644 doc/Programs/LifeScience/ecoli_inverse.py create mode 100644 doc/Programs/LifeScience/plot_Hudson.py create mode 100644 doc/src/How2ReadData/fig/SIR1.pdf create mode 100644 doc/src/How2ReadData/fig/SIR1.png create mode 100644 doc/src/How2ReadData/fig/SIR2.pdf create mode 100644 doc/src/How2ReadData/fig/SIR2.png create mode 100644 doc/src/How2ReadData/fig/SIR2_025b.pdf create mode 100644 doc/src/How2ReadData/fig/SIR2_025b.png create mode 100644 doc/src/How2ReadData/fig/SIR2_05b.pdf create mode 100644 doc/src/How2ReadData/fig/SIR2_05b.png create mode 100644 doc/src/How2ReadData/fig/SIRV1.pdf create mode 100644 doc/src/How2ReadData/fig/SIRV1.png create mode 100644 doc/src/How2ReadData/fig/SIRV2.pdf create mode 100644 doc/src/How2ReadData/fig/SIRV2.png create mode 100644 doc/src/How2ReadData/fig/TNotLD.pdf create mode 100644 doc/src/How2ReadData/fig/TNotLD.png create mode 100644 doc/src/How2ReadData/fig/categories_SIR.png create mode 100644 doc/src/How2ReadData/fig/categories_SIRV.png create mode 100644 doc/src/How2ReadData/fig/categories_SIRV2.png create mode 100644 doc/src/How2ReadData/fig/categories_SIRV_feedback.png create mode 100644 doc/src/How2ReadData/fig/categories_SIR_feedback.png create mode 100644 doc/src/How2ReadData/fig/categories_SIR_wtext.png create mode 100644 doc/src/How2ReadData/fig/categories_SIZR.png create mode 100644 doc/src/How2ReadData/fig/categories_figs.odp create mode 100644 doc/src/How2ReadData/fig/disease1.jpg create mode 100644 doc/src/How2ReadData/fig/disease2.jpg create mode 100644 doc/src/How2ReadData/fig/p_discont.pdf create mode 100644 doc/src/How2ReadData/fig/p_discont.png create mode 100644 doc/src/How2ReadData/fig/zombie1.jpg diff --git a/doc/Programs/Finance/Financial_Transactions.ipynb b/doc/Programs/Finance/Financial_Transactions.ipynb new file mode 100644 index 000000000..ed2dc64cf --- /dev/null +++ b/doc/Programs/Finance/Financial_Transactions.ipynb @@ -0,0 +1,1609 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "import matplotlib.mlab as mlab\n", + "import math as m\n", + "import numpy as np\n", + "import random\n", + "import copy" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def makeagents(N, money):\n", + " agents = np.zeros(N)\n", + " for i in range(len(agents)):\n", + " agents[i] = money\n", + " return agents" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def transactions(agent_array, tr_num):\n", + " people = copy.copy(agent_array)\n", + " total_money_begin = sum(agent_array)\n", + " current = 1\n", + " while current <= tr_num:\n", + " i = random.randint(0,len(agent_array)-1)\n", + " j = random.randint(0,len(agent_array)-1)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " total_m = m_i + m_j\n", + " epsilon = random.uniform(0,1)\n", + " current += 1\n", + " if people[i]>0 and people[j]>0:\n", + " people[i] = epsilon*total_m\n", + " people[j] = (1-epsilon)*total_m\n", + " else:\n", + " continue\n", + " \n", + " total_money_end = sum(people)\n", + " #print(total_money_begin, total_money_end)\n", + " \n", + " return people" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def avg_money(array):\n", + " length = len(array)\n", + " average = 0\n", + " for i in array:\n", + " average += i/length\n", + " return round(average,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def avg_money_sq(array):\n", + " length = len(array)\n", + " average = 0\n", + " for i in array:\n", + " average += i**2/length\n", + " return round(average,2)\n", + "\n", + "def variance(array):\n", + " return (avg_money_sq(array)-(avg_money(array))**2)**(1/2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1516.8399999999999" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_1 = transactions(makeagents(1000,1500),100000)\n", + "plt.hist(trial_1,bins=100)\n", + "avg_money(trial_1)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "9074.8400000000001" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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bwWP0YeAtrc/abwO3tfp6jGO24JidSHHv0qUUj2i/E3gSeEe/ftbqMKjvo3gW\n9mmKdHRi1X3q0XmeShEgnut4/c+2NldQPPYzRXHn7JaOfawFPk5xWehJ4H8BL+1oczTFb1GTFD+E\n/xpY39HmWIqaDL9sfWiuBtZUPUbzjNl84/Uc8O6Odo7b3H5+iqIOwtMUv9l8mVaIcMy6Gsev0RYk\nHLd5x2iM4pH9pymeGPgcbfUQHLMFx+0civobU8APgAvmadM34+aXdkmSpGy1LB8qSZL6g0FCkiRl\nM0hIkqRsBglJkpTNICFJkrIZJCRJUjaDhCRJymaQkCRJ2QwSkiQpm0FCkiRlM0hIkqRs/x9H22tQ\nbVrP9gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_2 = transactions(makeagents(500,10000),1000000)\n", + "plt.hist(trial_2 ,bins=100)\n", + "avg_money(trial_2)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "402.80000000000001" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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irDXmp2hf3ble8Z2jVwELNK/b/Cuaj4T8BPiXVd/VOmwv4KM0H6t5CfA64Es0\nr22d01r/vtbY/jvgXwN/BfwTcFrbZ+wFjtCc+poE/gH4WtXHNigvmo8Gvgr4LZp3Jv+X1vsX93OM\ngf3APwLn05yuPAz876qPf9DGvLXuRpq/sF7S+gH4j8AM8FzHvOcx3ws8QfMRwe1tr7G2Np7rJY75\noJ3rgzBg7wIepPkoz9eB11Tdp2F8AXWaj7L+nOZdtJ8Fzu1ocwPNx6gWaH53+66O9afTfJa4AfwM\n+D/AC6o+tkF50bwZaYnmJbb21//q5xjTvKN6HzDf+mHyZ8C2qo9/0MYcGAMO0PzX7yLwI+B/0PEP\nD8e86zFfbbyPA9d0tPNcL2nMB+1c90uuJElStspLTkuSpOFhcJAkSdkMDpIkKZvBQZIkZTM4SJKk\nbAYHSZKUzeAgSZKyGRwkSVI2g4MkScpmcJAkSdkMDpIkKdv/Byxi4qnyvgzcAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_3 = transactions(makeagents(500,420),1000000)\n", + "plt.hist(trial_3 ,bins=100)\n", + "avg_money(trial_3)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def distribution_exp(array):\n", + " avg = avg_money(array)\n", + " beta = 1/avg\n", + " mon = np.linspace(0,max(array))\n", + " wn = []\n", + " for i in mon:\n", + " wn.append(beta*m.exp(-beta*i))\n", + " h = plt.plot(mon, wn, lw=2)\n", + " \n", + " plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + " plt.ylabel(\"Wealth (1/Money)\")\n", + " plt.title(\"Distribution of Wealth\")\n", + " \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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W3W+OylwOVAPn5vpcM9uEkHwdD6zM8x0bzNFHw09+EvYfekgLy4qIiGQrn8To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\nw1RvNv7BwGKaLtefC6xX77x1doMPn80HdsM1/Mz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "distribution_exp(trial_1)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def distribution_log(array):\n", + " avg = avg_money(array)\n", + " beta = 1/avg\n", + " mon = np.linspace(0,max(array))\n", + " wn = []\n", + " for i in mon:\n", + " wn.append(m.log(beta*m.exp(-beta*i)))\n", + " h = plt.plot(mon, wn, lw=2)\n", + " \n", + " plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + " plt.ylabel(\"Log of Wealth (1/Money)\")\n", + " plt.title(\"Distribution of Wealth\")\n", + " \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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IE4RHjNAEYRGRTEi6mHH3H4B84EhgUOw4wt3z3f3fac5PJOt06BBWPN11F2wQ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\ndF59tgFOA34NXIR/VfxKSYvNbBih81pwCf7mP0n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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "distribution_log(trial_1)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def overlay_exp(array):\n", + " avg = avg_money(array)\n", + " beta = 1/avg\n", + " \n", + " fig = plt.figure(figsize=(5,5))\n", + " ax = fig.add_subplot(111)\n", + " \n", + " # now plot\n", + " data= array\n", + " counts, bins, bars = ax.hist(data, bins=100)\n", + " mon = np.linspace(0,max(array))\n", + " wn = []\n", + " for i in mon:\n", + " wn.append(max(counts)*m.exp(-beta*i))\n", + " h = ax.plot(mon, wn, lw=2, color='r')\n", + " \n", + " #Nice-ness\n", + " plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + " plt.ylabel(\"Counts of Histogram\")\n", + " plt.title(\"Distribution of Wealth\")\n", + " \n", + " # show\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Wt4RNJ2B/MzsH2AkwoC8Na7N9qc+eTbgeGE5o4b6TMJ3yUODuDMJsgW99KyRZ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\nIBAIBAJdlaBkA4FAIBDIEl1SyUr6uqQlkrZK+oe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X4EJg12DxU8A459zXySwuXZWXl9OvXxFVVWsilubjByLyHf1/d9ABdHzlFR+0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\nZEUatQK4hEvpx1PcD3WP/FBRAX/4A+y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RZhl/SCiZmKgvgUXDhtFn2jSYMQNmzYLNNks4KhERSUIus39nEornN2Nm/aNt\n2TqTUIh/EvBx2utbqQ7u/hvCvay3EGb9rgkc5u7Lcjhe7L7cU7fWiIhIbknVCLNxM/UBGlpob5O7\nV7h7txZef8noN8bdN3T3Xu5+iLu/k0PsedEsqerWGhGRstXh079mdm206MAVZrY4bXM3wjXOkq73\n25rFQ4fCgAFQXw9PPAHLl8MaayQdloiIdLFsRqqp6kkGDEtb3xnYlnA7zckxx1ccKirgoIPC8oIF\noAL7IiJlqcMjVXffD8DM/gScG1U1kpRDD4XU/VGPPgr77ptsPCIi0uVyuaXmlPSEamZ9zexoM9s2\n3tCKzMEHr1rWZCURkbKUyy01fweedvffR0+S+S+wWdhkx7v7v2KOscullw+sra3t2JsGDYKddoJp\n02DqVPjkExg4MPbYUvGopKGISOHJpaLSvoQn1QAcQ7jGujah0P7FQFEn1ZbKB3bYoYeGpArw4INw\n6qkxRjYbqGD06NGAShqKiBSiXG6p6Uf0BBngUOBf7r4YeAjYOq7AktK8fOBUsnqa3VFHrVq+556Y\nI/sCaCTENZ6GhsXNivGLiEjyckmqHwB7mllvQlJ9LGpfhxzuUy1cqfKBm3f8LbvtBhtsEJYffxwW\nLsxTXCppKCJSiHJJqtcRKtJ/SKh8NClq3xeYHk9YRaqiYtVodelSFYIQESkzucz+vYnwVJpTgX3c\nvTHa9B7hmmp5O+aYVcuxnwIWEZFClstEJdz9v4RZv+ltD8USUbEbORL69YP58+Ghh2DZMujRI+mo\nRESkC3QoqUYlCi9x90Vp5Qpb5O7nxxJZserRA444AiZMCIl10qTm97CKiEjJ6uhIdWdgjbTl1rRU\naL/8HHNMSKoQTgErqYqIlIUOJdVUicLMZWnFIYdAz55hstJ998H//m+YxCQiIiVNv+nzoU+fVaPT\n2bPhhReSjUdERLpENo9+u7sj/dz92NzDKSHHHAMPPADAnFtu4eOePYH8lRdML62Yz+OIiEjrspn9\nOz9j/QTgAWBBfOGUkCOPxCsqsMZGvrzjDqruuANYVV4wTi2VVlQZQxGRrpfNo99OSV83s28AF7j7\ne7FHVQoGDGDhzjuz1tSpbANsx995g2U0NIyOvbxg89KKQ4HapuMoqYqIdB1dU82jL0aObFo+mrfI\nf3nBVGlFlTEUEUmCkmoezd9v1UTpY1B1JRGRUqekmkfLNtiAqdHyLkxlE2YnGo+IiORXNrN/v57R\nVAEcYGZ8+lQaAAAgAElEQVTbpze6+/1xBFYq7gWqouWjmcSNSQYjIiJ5lc3s33tbaLslY92BbrmH\nU3ruYdUTWZVURURKW4dP/7p7RQdeSqgZXgfeZhMA9uVl1k02HBERySNdU+0C9xAmLHVnJUcmHIuI\niOSPkmoXuJeRTcvHtN5NRESKXE7PU5XsTGEYsxnEBszhYGDGkiU0rrlmi31ra2ub/VdERIqHkmoX\ncCq4j6M4k1tYE+j7/PN8sf/+Gb1mAxWMHj06gQhFRCQOHTr9a2Y/MrPKaHmwmVl+wyo996Sd+O33\n1FMt9PgCaCSUGpzKqjnDIiJSLDp6TfVaoG+0PBNYLz/hlK6n2I/59AZg7cmTsaVLW+mZKjW4eVeF\nJiIiMeloUv0YOM7MNgUM2Dgasa72yl+oxW05PbibcMq326JF9HvmmYQjEhGRuHU0qV4JXAe8Ryjw\n8BJhxJr+mhX9V1oxgcOaltd95JEEIxERkXzo0EQld/+DmVUDmwKvAgcC8/IZWCl6il34GNgQ6Pvs\ns6wDfJ5wTCIiEp9snqe6AHjNzE4B/uPurV0UlFY00o1q4CdAxYoVfAP4Y8IxiYhIfLIu/uDud7j7\nUjOrMrPR0Wt4PoIrRRPSlk9MLAoREcmHrO9TNbOBwF3ASMJ9IABrm9lTwPHu/ml84ZWel4GGzTaj\nctYsRgCDmU1d0kGJiEgscilTeCOwFvAVd1/X3dcFtifccnNDnMGVqs8OP7xpeRQTE4xERETilEtS\nPRQ4y92b6ui5+xvADyFtemuRqa2tpaampkvKA3526KFNyyeiWcAiIqUilzKFFcDyFtqXU5QF+ru+\nPOCyjTZi4Y470ueVVxjGuwzjVaZ32dFFRCRfckmCTwLXm9mGqQYz2wgYBzwRV2BdJ5nygOmj1dGM\n75JjiohIfuWSVM8mXD+dZWbvmtm7hKIPfYFz4gyua3VtecDPDzqoabg/imqMxi45roiI5E/Wp3/d\n/YPoFpoDgW2j5lp3/3eskZW4leusw0TgSGATPmRf3mRy0kGJiEin5PToN3d34PHoJTmaQEiqAKP5\nj5KqiEiRK8KJRaXjfmABvQD4Bi/RM9lwRESkkwoiqZrZV83sfjP7yMwazezrGdv/FLWnvx5OKt64\nLAHuZj8A1mYxh7fdXUREClxBJFWgNzANOIvwFJyWPAKsDwyKXqO6JrT8Sn9yjcoWiogUt5yuqcbN\n3SdCKC1kZtZKt6WlWALxSXZlDusziLkcAazNl021H0VEpLhkPVI1s+FmNixt/Sgzu9fMrjazHvGG\n18xIM5trZm+a2U1mtm4ej9VlVtKd6mjQ3RM4rhhv9RURESC307+3ANsAmNkWhOL6i4FvAr+JL7Rm\nHgFOAvYHLgBGAA+3MapNTF1dHTU1NVmVPJyQduJXZQtFRIpXLqd/tyFc/4SQSJ929xPMbG9Cgv1x\nXMGluPvf01ZfN7PpwLuEJ+U81fo7zwP6Aa+lrZ8Zd3hN6urqGDJkKA0Ni7N631SqmMEghjCH/ZjK\nxnzAh3mKUUSkVFVXV1NdXd2sbf78+V0aQy5J1Vg1wj0QeDBa/gAYEEdQ7XH3mWZWD2xFm0l1HKFK\n0khgctr6hNbf0gn19fVRQh1PqND0MHBJB95pTGBvLudfQChb+CsG5yVGEZFSNWrUKEaNaj6Htaam\nhqqqqi6LIZfTv/8FLjaz7xBOwz4UtW8OzI0rsLaY2cZAf0I1/AKUfcnD8ezdtHw6t6psoYhIEcol\nqZ5HyBi/B65y93ei9m8Az+UShJn1NrMdzWynqGmLaH2TaNtvzGx3M9vUzA4A7gXeAh7N5XiFaCYD\neSxa3pL3OJDXE41HRESyl0vt31eAYS1s+imwIsc4diGcxvXoNTZqv4Nw7+oOhIlKawMfE5Lppe7e\n0iPoitYtwMHR8vd5UjUgRUSKTNZJ1czeA3Z193kZmyqBGmCLbPfp7pNpe9R8aBvbSsb9wGz6swHz\nOIqpDALmJB2UiIh0WC6nfzcDurXQ3hPYuFPRlLkVwG0cDUB3Gjk12XBERCRLHR6pZtTjPcTM0ucp\ndwMOIDxXVTrhjxzDRdxOBc73gF+xUlOWRESKRDanf++N/uuEa53plgOzgJ/EEFNZq2MDJnIoh/MI\nmwEHM4WJ7Jp0WCIi0gEdPv3r7hXuXgHUAQNT69Grp7sPcfcH29uPtO8Wvt+0fGZ076qIiBS+rK+p\nuvvm7l6fj2AkeIiv8SHrAHAEz7CR6iuJiBSFnJ5SE90regAwkIzE7O5lN78mVeO3o7V+27OS7tzG\nSC7jHrrRyGncxuVsFcu+RUQkf3K5peYy4FJCZaXZtP780zIwG6hg9OjRse/5VkZyMffQjVBh6Squ\nYmXsRxERkTjlMlI9EzjZ3e+MO5ji8wXQSPa1ftv3If15GDgS2IQPOYxX0AVrEZHClst9qj3IsRxh\n6cq+1m9H/F/a8vd5MtZ9i4hI/HJJqrcCJ8QdiKxuIvA+gwA4nFf03BoRkQKXy+nfSuAMMzsQeJVw\nj2oTdz8/jsAknFi+laO5gv+jAud0wsVsEREpTLmMVHcgPKS8Edge2DnttVMb75Mc3MbRrIiqQp4G\ndKekniEgIlJScnlKzX75CERaNpv1eIAjOYZ72ZBw3+q97J90WCIi0oJcRqrSxdIrLH2fuxOMRERE\n2pLLfaqp5562yN01jIrZYxzMTNZjcz7lYKawFXW80/7bRESki+UyUp0GvJL2eoNwm81wYHp8oUmK\nU8H/Rad8K3DOY0LCEYmISEtyuaZ6XkvtZjYG6NPZgKRlt7A/F/M31gJO4QEuSzqgSF1dHfX1q0pB\nDxgwgMGDdfOPiJSnnGr/tmI88CLwPzHuUyLz6c2twHnAmizlh0kHREioQ4YMpaFhcVNbZWUvZsyo\nVWIVkbIU50SlPYGGGPcnGa6DpttrfgjYkiWJxlNfXx8l1PHAVGA8DQ2Lm41cRUTKSS4TlTKnnxqw\nAbALcEUcQUnL6oC/cyAn8CjrAUsefBD23jvpsFhVplFEpLzlMlKdn/H6DJgEHO7uv4wvNGnJbzmp\naXnghAmwUs+uEREpFLlMVDolH4FIx0xjW/7NbhzIi1R+8AHcdx9stlnSYYmICJ24pmpmVWY2Onrt\nHGdQ0rbf8Z20ld8lF4iIiDSTyzXVgcBdwEjCA0UB1o6KQhzv7p/GF5605FH2ZDowDOD55+k9bVrC\nEYmICOQ2Ur0RWAv4iruv6+7rEgrr9wVuiDM4aY2RPj5d/049L15EpBDkklQPBc5y99pUg7u/QbjL\n47C4ApO2VQPLBg4EoN/kyWydbDgiIkJuSbUCWnz+2PIc9yc5WA58MmoUAObOT5INR0REyC0JPglc\nb2YbphrMbCNgHPBEXIGVstraWmpra9vv2I76Y46BtdYC4LvAenzW6X2KiEjuckmqZxOun84ys3fN\n7F1gZtR2TpzBlZ7ZQAWjR49m9OjRnd5b41prwRlnAFAJnM3fOr1PERHJXdZJ1d0/IJTP+Rqhct51\nhMIPw939w5jjKzFfAI2Esn4xFZ8691y8W6p04T9Yk8XtvEFERPIlp2ugHjzu7jdGr3/HHVhpGwps\nHs+uNtmEzw45BID+zOcU/hTPfkVEJGsdTqpmtr+ZvWFmfVvY1s/MXjezQ+INTzrik++sKgZxAb+h\nB8sSjEZEpHxlM1L9MfBHd/8yc4O7zwduQddUE7Fkm214KFrelDpO495E4xERKVfZJNUdgYltbH8M\n2KFz4UiuLk1bvpjbqEwsEhGR8pVNUl2flu9PTVkBrNe5cCRXNcDd7AfAhtTzg2TDEREpS9kk1Y8I\n5QhbswPhnhFJyGV8n0YMgJ8DFYs1E1hEpCtlk1QfBq4ws9XOLJrZmsAvgQfjCkyy9xpb8ze+DYRT\nBuvddVeyAYmIlJlskuqVwLrAW2Z2gZkdFb0uBGZE267KR5DScWMYw8rox7r+X/4CX3zRzjtERCQu\nHU6q7j4X2At4DbgGuCd6XR217RP1kQS9xRD+wtcA6L5gAYwbl3BEIiLlI6viD+7+vrsfDgwAdgf2\nAAa4++HuPjMfAUr2Lud7q2aUjRsH8+YlGY6ISNnItaLS5+7+kru/6O6fxx2UdM4sNuK21MqCBfDb\n3yYZjohI2dCj2krUlUBjjx5h5YYbYM6cROMRESkHSqol6iOg/rjjwsqSJfCrXyUaj4hIOVBSLWFz\nTj4ZevUKKzffDB98kGg8IiKlTkm1hK0YMADOPjusLFsGV+mOJxGRfCqIpGpmXzWz+83sIzNrNLOv\nt9DncjP72MwWm9njZrZVErEWnQsugLXWCsu33QbvvZdsPCIiJawgkirQG5gGnAV45saowMTZwBnA\nbsAi4FEz69GVQRal/v3hvPPC8ooVcOGFycYjIlLCCiKpuvtEd7/U3e+DqHhtc+cCV7j7g+7+GnAS\nsCFwdFfGWbTOPx8GDgzL//wnPPVUsvGIiJSogkiqbTGzzYFBwBOptuiZri8AeyYVV1Hp1w+uvnrV\n+rnnhlGriIjEquCTKiGhOpBZAnFutE064pRToKoqLE+fDn/4Q7LxiIiUoO5JB5Bf5wH9CKWJU+tn\nJhdOkioqQhGIvfcO65dcAscfD+uum2xcIiIxqa6uprq6ulnb/PnzuzSGYkiqcwjXWden+Wh1feDl\ntt86DhgOjAQmp61PiD/KYrDXXnDiiTBhAnz2GVx6Kfz+90lHJSISi1GjRjFq1KhmbTU1NVSlztJ1\ngYI//RsV6p8DHJBqM7O+hIL+zyUVV9H69a+hd++wfPPN4VSwiIjEoiCSqpn1NrMdzWynqGmLaH2T\naP064GIzO9LMhgF/AT4E7ksi3qK20UZw0UVhubExTFry1e5iEhGRHBREUgV2IZzKnUqYlDQWqAF+\nCeDuvwFuBG4hzPpdEzjM3ZclEm2xO/982GKLsPzUU3D33cnGIyJSIgoiqbr7ZHevcPduGa9T0/qM\ncfcN3b2Xux/i7u8kGXNRq6yEsWNXrf/kJ6HovoiIdEpBJFVJwFFHwYEHhuX334ff/S7ZeERESoCS\narkyg+uvh27dwvo11+gpNiIinaSkWs622w5++MOwvGRJKL4vIiI5U1Itd2PGhKL7AHfdBRMnJhqO\niEgxK4biD5Kj2trapuUBAwYwePDg1Tutsw7zLryQ/tEoddnJJzP3iSfY5CtfiSWGuro66uvr245B\nRKREKKmWpNlABaNHj25qqazsxYwZtasltbq6OoZcchn3AwcBPebOZeKOO3HIe+92OgHW1dUxZMhQ\nGhoWtxmDiEip0OnfkvQF0AiMJ9z6O56GhsVNI8Z09fX1NCxdwvcYx0LWBOB7K1fQ8PDDnY6ivr4+\nSqjj24xBRKRUKKmWtKGEWsdD2+35PvtyIb9tWt/0yith4cIY42g/BhGRYqekKk1u5gdMZjgAPT/6\nCH7xi4QjEhEpLkqq0sSp4DQuZXGq4cYb4dlnkwxJRKSoKKlKM++yCRenVtzhtNNUwlBEpIOUVGU1\n1wMLhw0LK2+9BZddlmg8IiLFQklVVtMI1F12GfToERrGjoUXXkg0JhGRYqCkKi1q2HzzUG0JwnNX\nTz0Vli5NNCYRkUKnpCqt++lPoaoqLL/xxqokKyIiLVJSldZ17w633453D4W3/Ne/5pMJE9p9W21t\nLTU1Nc3KJIqIlAOVKZQ21a29NrdgXAWYOz56NB9usw0b77prC71XL48oIlJONFKVNtXX13PNiuU8\nzI4ArA/0/eEPYeXKFnpnlke8osviFBEpBEqq0i4HvstYPmI9APq+9BJcfXUb70iVR9y8C6ITESkc\nSqrSIfWswwlcRdP4dMwY+kydmmRIIiIFR0lVOuxpqhiTWmlsZLNf/IIBCcYjIlJolFQlK1cDX0aT\nlHp8+il3AEZjojGJiBQKJVXJSiMw68orYeBAAA4H/oc7E41JRKRQKKlK1lYMGAATJuBmAFzN/7In\nzyUclYhI8pRUJTcHHsicU08FoDsrqWYU67Ig4aBERJKlpCo5m33GGTwTLW9KHf/ietZINCIRkWSp\nolIRS5UBTKwcYPfujAL+S38GMY+RvMlNwPfwnHZXV1dHfX190/qAAQMYPHhwp/uKiHQVJdWiVDjl\nAD8CjmIsk/k+lSzldKCW8VxLVVb7qaurY8iQoTQ0LG5qq6zsxYwZtasly2z6ioh0JZ3+LUqFVQ7w\nRYZxMn9uWv8t13MED2S1j/r6+ihJpj7TeBoaFjcbjebSV0SkKympFrXCKQf4N45nDMcAUIHzV05g\nGHU57Cn1mYbG3FdEJP+UVCU2v+RY7oqW12IhDzCWgYlGJCLStZRUJUbGKcALfAWATZnHvUBPliYa\nlYhIV1FSlVg1AEczlg/YGIA9gdv5JeQ4I1hEpJgoqUrs5rAeR/IAC+kJwAk8yqX8MeGoRETyT0lV\n8uIVduJEzmoqtf9LbuGHiUYkIpJ/SqqSN/dTxU/T1n8PrHv//UmFIyKSd0qqklfXAldyWtP6pldc\nAf/4R3IBiYjkkSoqlZFUOcPOlvTLtjziJfyAtVjEudyFNTbCCSdAr17UDRvWVLAh7lKL6WUMVcJQ\nRLqKkmpZaF7WMPeSfrmWRzTO4yf04a4wZl2xAj/uOL7XCI8tj/92m8wyhiphKCJdRad/y0J6WcPO\nlPTLvTyiU8EZwGcHHwyALV3Kv5YvZXfGZL2v9jQvY6gShiLSdZRUy8pQ4inpl1t5xEZg1uWXwxFH\nANAHeISx7EhF1vvqmLg+r4hIxyipStdaYw34xz/4ctddAViHBTzGwQzlo4QDExHpPCVV6XqVlbx3\n7bU8F60O5FMmcyXDEw1KRKTzlFQlEY29enE4MJVtAViPBTwFjOC/icYlItIZRZFUzewyM2vMeL2R\ndFzSOfOB/fk/nmEfAPoCEzkn62exiogUiqJIqpHXgPWBQdFrn2TDkTh8yVocwqM8zI4AVLKMeziG\nE3g44chERLJXTEl1hbt/6u6fRK/Pkg5I4rGEXhzNeVRH691ZyQQu4axEoxIRyV4xJdWtzewjM3vX\nzMab2SZJByTxWU53RgM3c1xT2/8Cg269FVyPjROR4lAsFZWmACcDM4ANgDHA02a2vbsvSjCuotVe\nqcFsSxHGoRE4i5/zGUP4BVcDsOHNN0NlJfzud1DR9t+AbcWc3taZsoXp5Q87uy8RKT1FkVTd/dG0\n1dfM7EXgfeBbwJ9af+d5QD/C5djU+pn5CbJotFdqMNdShHExLuYqPmcRv+P60DRuHMycCXfeCX36\ntPCetmJefVuuZQszyx92Zl8iEr/q6mqqq6ubtc2fP79LYyim079N3H0+8BawVds9xwH3A9unrY/K\nZ2hFoL1Sg7mXIozTWE7idMBTo9N774W99oJZs1ro3VbMmdtyL1vYvPxh5/YlIvEbNWoU999/f7PX\nuHHjujSGokyqZtaHkFBnJx1L8Wqv1GBupQjjdBvwzvXXQ79+oWH6dNh1V/rU1LTyjrZiTm2Ls0yj\nSiCKSHNFkVTN7Ldmtq+ZbWpmewH3AMuB6nbeKkVuwV57wQsvwNZbh4b6erY+80xOTzYsEZEWFUVS\nBTYG/gq8CdwFfArs4e7zEo1KusaQISGxHnQQALZyJX8EruO3dGNFsrGJiKQpiqTq7qPcfWN3X9Pd\nB7v7Ce4+M+m4pAutsw48/DD8+MdNTedyFw9zOGujCeAiUhiKIqmKANC9O4wbx/uXXMKyqOlgHqeG\ni9k90cBERAIlVSk6844+mv2BT1gHgM35lGeAC/kTRmOisYlIeVNSlaL0H2AX7uQ/7AXAGsCv+D2P\ncgiD+DzR2ESkfCmpStH6gA0YwWSu4Kim8elB/JtX+AWHJhqZiJSroqioJJJeHjC95OBKunMp3+RJ\n7mM867ERnzKQL3kEGMu1/JyDWJ7FvkGlB0tN+s9XP1vJNyVVKXgtlQfMNAnYkWr+xHUcyYMA/IQJ\njOA5TgJaq2Cs0oOlLfPnq5+t5JtO/0rBW708YMulE+exDl/nfn7Ed1gate3CTF4GLuaPrNE0Z7it\nfav0YClp/vPVz1byT0lVikhHSicaN3IIewBvsikAPYEr+D/+yy7s2vRwhdb2rdKDpWko+tlKV1BS\nlZI0DdiZv3INRzbVXNqB6TzPKYwFKpYsSTA6ESlVSqpSshqo5CK+za5ADUMA6EYj5wNDv/1t+Pe/\nE41PREqPkqqUvGnA7tzBhfyKBnoA0POjj+Cgg9j0sstYP9nwRKSEKKlKWVjBGvyGC9mBu5ic1t7/\nwQd5m1CNqScNSYUnIiVCSVXKyttsyn5A3UUXQd++AKxFqMb0BttxLE8kGp+IFDclVSk7DtQfdxy8\n/TafHnccK6P2LZjJv7iAScCata3d2Soi0jolVSlfAwfywUUXsRPwb3Zrah4BbPud78Bpp8HHHycW\nnogUH1VUki6VKjFY28GRYEf7dSaO14CDuIkj+YixnM3WfIC5w+230zhhAhVnngk/+1mnj6lyiCLZ\nK7Z/N0qq0kVmAxWMHj06T/07G4fxAF9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SziI0iLLWpIwqqT+837n+xWkQvA1cjrW4rgF6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\nNXE4bFVxa6wyfwC4Nc1wnsRW5D4bKyeV/Dv7X/TZ2OriuVh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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "overlay_exp(trial_3)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def trans_eq(agent_array, tr_num):\n", + " people = copy.copy(agent_array)\n", + " current = 1\n", + " averages = [np.average(people)]\n", + " total = [sum(agent_array)]\n", + " while current <= tr_num:\n", + " averages.append(np.average(people))\n", + " i = random.randint(0,len(agent_array)-1)\n", + " j = random.randint(0,len(agent_array)-1)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " total_m = m_i + m_j\n", + " epsilon = round(random.uniform(0,1),2)\n", + " current += 1\n", + " if people[i]>0 and people[j]>0:\n", + " people[i] = round(epsilon*total_m,2)\n", + " people[j] = round((1-epsilon)*total_m,2)\n", + " else:\n", + " continue\n", + " total.append(sum(people))\n", + " \n", + " #print(total_money_begin, total_money_end)\n", + " \n", + " return averages,total" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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qLX/xyu8AzgR2BE4CugPzcWLnN6rqf00ZDTQCE4B2uC7wZ2XZb9Ffaf7f/4Or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\n8P8BdV+6ptmSBsoAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "avg1, tot1 = trans_eq(makeagents(1000,1500),100000)\n", + "avg2, tot2 = trans_eq(makeagents(1000,1500),100000)\n", + "\n", + "plt.plot(avg1) \n", + "plt.title(\"Average Amount of Money Per Person\")\n", + "plt.ylabel(\"Amount of Money\")\n", + "plt.xlabel(\"Transaction Number\")\n", + "\n", + "plt.plot(avg2) \n", + "plt.title(\"Average Amount of Money Per Person\")\n", + "plt.ylabel(\"Amount of Money\")\n", + "plt.xlabel(\"Transaction Number\")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Cu/95QldJNlfZ/cBAYIvoMz5t+dWErojDCXEdgwjBjHHuIwyfHUuIkXkBuDcluiLRNI3Q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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(tot1) \n", + "plt.title(\"Total Amount of Money in Circulation\")\n", + "plt.ylabel(\"Amount of Money\")\n", + "plt.xlabel(\"Transaction Number\")\n", + "\n", + "plt.plot(tot2) \n", + "plt.title(\"Total Amount of Money in Circulation\")\n", + "plt.ylabel(\"Amount of Money\")\n", + "plt.xlabel(\"Transaction Number\")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def trans_save(agent_array, tr_num, lmbda):\n", + " people = copy.copy(agent_array)\n", + " #total_money_begin = sum(agent_array)\n", + " current = 0\n", + " while current <= tr_num:\n", + " i = random.randint(0,len(agent_array)-1)\n", + " j = random.randint(0,len(agent_array)-1)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " total_m = m_i + m_j\n", + " current += 1\n", + " epsilon = random.uniform(0,1)\n", + " if people[i]>0 and people[j]>0:\n", + " dm = (1-lmbda)*(epsilon*m_j-(1-epsilon)*m_i)\n", + " people[i] = m_i+dm\n", + " people[j] = m_j-dm\n", + " else:\n", + " continue\n", + " \n", + " #total_money_end = sum(people)\n", + " #print(total_money_begin, total_money_end)\n", + " \n", + " return people" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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krUt64NoGwB+AN0bEUy2uz8zMzDpEw8lIREwCkLSI1Gakf4RZGhYRv2OEO3si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\naeec7G5CB9ZHkoCvApdGRK0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Fe/LfOyW9iXTJ5fektiNvynW/uZHvkaRPkRqw3gCsA/wL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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_4 = trans_save(makeagents(500,1000),1000000, 0.25)\n", + "plt.hist(trial_4, bins=100)\n", + "plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + "plt.ylabel(\"Counts of Histogram\")\n", + "plt.title(\"Distribution of Wealth\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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MzPpEK5f2ngAcT7oT613UGUvGzMzMrFGttIwcDRwZEd9rdzBmZmbWf1q5Hfx6\njM1t383MzKwPtZKMfBN4c7sDMTMzs/7UymmaycC7JO1PuiPqymJhRLy/HYGNV4sXL2bp0jVXRU+d\nOpVp06ZVGFH/qY2V06tj5pSPIfBxZGa9rZVkZCfgb/n5c0tl7sw6jMWLF7PDDtMZGFj+5LzJk9dn\n4cIF/iLpiHpj6PSWescQ+Dgys97Wyn1GXjIWgfSDpUuX5i+R2pgtCxgYOIylS5f6S6QjhhpDp3es\nfQyBjyMz63Ut3WfERqs2ZotVYzyMmeNjyMzGj1buM1IbQ6auiHjpqCIyMzOzvtJKy8jfStPrAi8g\n9R8pD6BnZmZmNqxW+ozMrjdf0onAhqMNyMzMzPpLK/cZGcoZgMelMTMzs6a0MxnZHRho4/rMzMys\nD7TSgfXs8izgGcAuwEntCMrMzMz6RysdWJeVplcDC4HjI+KC0YdkZmZm/aSVDqxHjUUgZmZm1p9a\nvumZpJmsuQXktRHx1/aE1H+KY6TUG2PE49l0r3aNEzPSMWBmNp610mdkU+AHwL6k+2sDbJxvhvam\niLi3feGNd2uPlVIeY8Tj2XSv9owTM/IxYGY23rVyNc0pwD8B/xIRm0TEJqQbnm0EnNzO4Ma/4lgp\nVwJnMDCwfNAv7cFjkdRfxqqx9nvTyvsz8jFgZjbetXKa5hXA/hHxZLtyRFwn6T2AO7C2pJFxRjwW\nSfdqx3vj99fM+lcrLSMTgJV15q9scX1mZmbWx1pJHn4LfEnSM2szJD0LmAP8pl2BmZmZWX9oJRk5\nhtQ/5BZJN0m6CViU5/1HO4MzMzOz8a+V+4zcJmkGsD+wY569ICJ+3dbIzMzMrC+0dJ+RiAjgwvww\nMzMza1nDp2kkvVTSdZI2qlM2RdK1kl7e3vDMzMxsvGumz8j7gG9ExEPlgohYBnwN9xkxMzOzJjWT\njDwfOG+Y8guAnUYXjpmZmfWbZpKRzah/f5GaJ4Cnjy4cMzMz6zfNdGC9g3Tb9xuHKN+JNNCGjVJx\n0LTi817bxnhVq69G6604mJ7r2sxsbc0kI/OAkySdFxEDxQJJTwE+CvyincH1n7UHTevNbYxXzdfd\nUIPpmZnZGs2cpvk4sAnwD0kfkHRwfnwQWJjLPjEWQfaP8qBpVwIn9eA2xqty3Y1cb2sPpue6NjMr\na7hlJCKWSNoD+CrwKUC1IuB84D0RsaT9Ifaj4qBpY9Ws34ltjFe1umum3lp5jZlZf2jqpmcRcStw\noKSnAtt8lRr8AAAZv0lEQVSREpIbIuKBsQjOzMzMxr9W78D6APCXNsdiZmZmfaiVgfLMzMzM2sbJ\niJmZmVXKyYiZmZlVysmImZmZVcrJiJmZmVXKyYiZmZlVqqVLe627eOwTKyseEwBTp05l2rRpDS+/\nYsUKJk2a1PDrzcxGw8lIj/PYJ1ZW75iYPHl9Fi5cUDehqH8MTQRWNfR6M7PR8mmaHuexT6xs7WPi\nDAYGlg9q+Rh++ZNIiUhjrzczGy23jIwbHvvEyorjDzWz/ILStJnZ2HLLiJmZmVXKyYiZmZlVysmI\nmZmZVcrJiJmZmVWqJ5IRSSdIWl16XFd1XGZmZjZ6vXQ1zTXAfoDy9BMVxmJmZmZt0kvJyBMRcW/V\nQZiZmVl79cRpmuw5ku6QdJOkMyRtWXVAZmZmNnq9koxcBhwJvBw4GtgG+IOkDaoMyszMzEavJ07T\nRMT5hclrJF0O3AocCpxWTVRmnTEWAyF6cEUz6yY9kYyURcQySf8AthtuudmzZzNlypRB82bNmsWs\nWbPGMjyzthmLgRA9uKKZ1cydO5e5c+cOmrds2bKOx9GTyYikDUmJyOnDLTdnzhxmzPDYGta7Bg9i\nNx2YBxzXdes0s95U7wf6/PnzmTlzZkfj6Ik+I5I+K2lvSVtJ2gP4KbASmDvCS83Gidqgddt0+TrN\nzJrXKy0jWwDfB54G3AtcDLwoIu6rNCozMzMbtZ5IRiLCnTzMzMzGqZ44TWNmZmbjl5MRMzMzq5ST\nETMzM6uUkxEzMzOrlJMRMzMzq5STETMzM6tUT1za282KY3wATJ06lWnTptUt9xggNpZqx1evHGfN\nfHaGWqaKuDqhG2Iw6yQnI6NQb4yPyZPXZ+HCBUybNs1jgFiH3AVM4LDDDqs6kIa1+tkpLlNFXJ3Q\nDTGYdZpP04zC4DE+rgTOYGBg+ZO/aNYuP6myWG08exBYTS8dZ81/dtZepoq4OqEbYjDrNLeMtEVt\njI+Rynuj+dx6VS8eZ41+djqtqu12WwxmneGWETMzM6uUkxEzMzOrlJMRMzMzq5STETMzM6uUkxEz\nMzOrlJMRMzMzq5STETMzM6uUkxEzMzOrlG961qN6bRwSa04vvL/l8VNWrFjBpEmTnpz2eCpm1ign\nIz2n98YhsWb0xvtbf+yYicCqJ6c8noqZNcqnaXpO741DYs3ojfe3/rhLq/B4KmbWCreM9KxeHIfE\nGtcr7285To+nYmbNc8uImZmZVcrJiJmZmVXKyYiZmZlVysmImZmZVcrJiJmZmVXKyYiZmZlVysmI\nmZmZVcrJiJmZmVXKyYiZmZlVyndgNRsD3TjQXRUxFbdVHEhvqBjaHWN5ML/y4H3l8pHiamQd3ThA\nYDlG6M44rX85GTFrq24c6K6KmOptc/BAeiMvPzr1BvMrDt5Xf7C/keMaaR3dNkDgUPvZbXFaf/Np\nGrO26saB7qqIqd42VzF0DO2Pce3B/AYP3rd2eSNxjbSO7hsgsP5+dl+c1t/cMmI2JrpxoLsqYhpq\nIL2hYhiLGEcavK9YPlJcrW6jG/RCjNav3DJiZmZmlXIyYmZmZpVyMmJmZmaVcjJiZmZmlXIyYmZm\nZpVyMmJmZmaVcjJiZmZmlXIyYmZmZpXyTc+a8JWvfIWrr776yemHHnqo7nLdOC6J2WgVj+cqj+1G\nx4kZy/FvRlpHM2PZQGPj9nRaL4y5M171Y907GWnQXXfdxTHHHMPEidsxYcLGAKxceUV5KbpvXBKz\n0eqW47r5cWJGen07YmhPjMON29N5vTDmznjVr3Xv0zQNiggAVq36EitX/oWVK//ChAmTS0t147gk\nZqNVPq6rOrabHSdmLMa/GWkdzcbYyLg9ndcLY+6MV/1a924ZGRPdOC6J2Wg1MoZLp+MYrnwsx79p\ndBsjvR4aH7enCh7Ppjr9VfduGTEzM7NKORkxMzOzSjkZMTMzs0o5GTEzM7NK9VQyIuk9khZJekzS\nZZJeWHVM1ksurToAs640d+7cqkPoGq6LavRMMiLpjcDngROAnYGrgPMlTa00MOshf6o6ALOu5C/g\nNVwX1eiZZASYDXwtIk6PiOuBo4HlwNuqDcvMzMxGoyeSEUnrAjOB39TmRboL2a+B3auKy8zMzEav\nV256NpV0v+QlpflLgB06G8qNwHwAIlZ3dtNmZmbjUK8kI82aDO0dcOrhhx9mww2n8Mgjxz45L98h\nHphHumviJW2eZgzWWcU2umWb94/T/erXbS5KU/PmsWDBAhYtWtSF+zVSjI1sc/A6ACZMmMDq1Wt+\nDA03XX+bg9d5++23M3fu3GFeM7oYGl1mtNPtWMcdd9zBmWeeWdl+DVX3nRxAsbCt8pgnY0ax5hu1\na+XTNMuBQyLi3ML87wBTIuK1peXfDJyJmZmZteotEfH9TmyoJ1pGImKlpCuB/YBzASQpT59c5yXn\nA28BbgEGOhSmmZnZeDAZ2Jr0XdoRPdEyAiDpUOA7pKtoLiddXfN6YMeIuLfC0MzMzGwUeqJlBCAi\nzsr3FPkYsBnwN+DlTkTMzMx6W8+0jJiZmdn41BP3GTEzM7Pxy8mImZmZVWpcJiPjeUA9SSdIWl16\nXFda5mOS7pS0XNKFkrYrlU+S9BVJSyU9LOnHkjbt7J40T9Jeks6VdEfe74PqLDPqfZf0VElnSlom\n6QFJ35S0wVjvX6NGqgdJp9U5RuaVlhkP9fBhSZdLekjSEkk/lbR9neX64ZgYsS764biQdLSkq3Js\nyyRdKukVpWXG/fEAI9dFtx0P4y4ZUX8MqHcNqRPv5vnx4lqBpA8CxwDvAnYFHiXt/3qF138ReBVw\nCLA38EzgJx2JfHQ2IHVcfjewVmenNu7794HppEvHX5WX+1o7d2SUhq2H7FcMPkZmlcrHQz3sBZwC\n7AbsD6wLXCDpKbUF+uiYGLEusvF+XNwGfBCYQRpC5LfAOZKmQ18dDzBCXWTdczxExLh6AJcBXypM\nC7gd+EDVsbVp/04A5g9TficwuzC9EfAYcGhhegXw2sIyOwCrgV2r3r8m6mE1cFC79z1/qFYDOxeW\neTnwBLB51fvdYD2cBpw9zGvGXT3k+KbmmF/cz8fEMHXRr8fFfcBR/Xw8DFEXXXU8jKuWEfXPgHrP\nUWqiv0nSGZK2BJC0DSm7Le7/Q8CfWbP/u5Au6S4usxBYTA/XURv3/UXAAxHx18Lqf01qgdhtrOIf\nA/vm5vrrJZ0qaZNC2UzGZz1sTIrvfuj7Y2JQXRT0zXEhaYKkNwHrA5f28/FQrotCUdccDz1zn5EG\nddGAemPmMuBIYCHwDOBE4A+Snkv6oAX193/z/Hwz4PH8IRxqmV7Urn3fHLinWBgRqyTdT+/Uz69I\nTamLgG2BTwHzJO2ek/PNGWf1IEmkJuWLI6LWh6ovj4kh6gL65LjI/wv/RLqL6MOkX/YLJe1Onx0P\nQ9VFLu6q42G8JSPjXkQUb897jaTLgVuBQ4Hrq4nKuklEnFWYvFbS1cBNwL7ARZUENfZOBf4Z2LPq\nQLpA3broo+PieuD5wBTSXbpPl7R3tSFVpm5dRMT13XY8jKvTNMBSYBUpuy3aDLi78+GMvYhYBvwD\n2I60j2L4/b8bWE/SRsMs04v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H2yWkRPu8vL6R4mxY7gN1IKml82+k5OQbpI6tkK4O25vU\nr2ohKcF4f0ScT0ocdiQlGgtJV12dEhFfz+u+gJQEvIx06u1PwPtICS6kBPidpGTiKlKrx7/munkQ\neB3wG9Kx9y7gTbmfViOfo8eBT+b1/o7UAXk0LcQ2Shq7HzFmNlYk7UXqxLdlRNxbdTxmZqPhZMSs\nh+R+BpuSmrrvzOe7zcx6mk/TmPWWWaRm7I1I94AxM+t5bhkxMzOzSrllxMzMzCrlZMTMzMwq5WTE\nzMzMKuVkxMzMzCrlZMTMzMwq5WTEzMzMKuVkxMzMzCrlZMTMzMwq5WTEzMzMKvX/Ae5lxt2lmYIR\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_5 = trans_save(makeagents(500,1000),1000000, 0.5)\n", + "plt.hist(trial_5, bins=100)\n", + "plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + "plt.ylabel(\"Counts of Histogram\")\n", + "plt.title(\"Distribution of Wealth\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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3YVXxmpmZWXnGRTICbAhcAxwJxCDL/AzYHNgi/80dm9DMzMxsNI2Lm55FxEXARQCSNMhi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\n68N5eg6us3VIEnAm8PmIaDY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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_6 = trans_save(makeagents(500,1000),1000000, 0.9)\n", + "plt.hist(trial_6, bins=100)\n", + "plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + "plt.ylabel(\"Counts of Histogram\")\n", + "plt.title(\"Distribution of Wealth\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def overlay_gauss(array):\n", + " avg = avg_money(array)\n", + " sigma = variance(array)\n", + " \n", + " fig = plt.figure(figsize=(5,5))\n", + " ax = fig.add_subplot(111)\n", + " \n", + " # now plot\n", + " data= array\n", + " counts, bins, bars = ax.hist(data, bins=100, normed=True)\n", + " mon = np.linspace(0,max(array))\n", + " h = ax.plot(mon, mlab.normpdf(mon, avg, sigma), lw=2, color='r')\n", + " \n", + " #Nice-ness\n", + " plt.xlabel(\"Amount of Money that The Individual Possesses\")\n", + " plt.ylabel(\"Counts of Histogram\")\n", + " plt.title(\"Distribution of Wealth\")\n", + " \n", + " # show\n", + " plt.show()\n", + " plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "995.48000000000002" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_money(trial_4)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1498279.77" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_money_sq(trial_4)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "712.24949252351166" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "variance(trial_4)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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ERMpAu7gDkNJRXV1NTU1N7Xa3bt3o2bNno/tERCR+SugChITdu3cfli5dUtvWsWMnZs2a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\nUL/caTFLjibOk3qOQpc9nca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YO7cZYshcFlZECk8JvVjcw6325csBmNChEzPokdIpURKz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\nd+fcEABJ5wE9gTOA29KkPx+Y7py7POxPlXRAyOe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+hm5mnczsAjNbBLwHvGdmn5rZ+WamkedEREQSUEgL/VLCBC2/Ap6NynYjvLbW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\nA+azwciRzD3iiOoXzTCM/DDoAM65AcCANHFnpwh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mW7s+yyYHWoF3gYfcPX20NREREekkxTxD3zn69AGmR2XbEDqQTQPOAq4zs73S\nOqCJiIhIJynmlvufCOOub+Tu9e5eD2wCPA00AhsDz1PcMLAiIiJShGIS+gXAxe6+KFUQzT52GXCB\nu7cQXj/ruuFxREREerhiEvp6wAYZyr8EDIyWFwBrFBuUiIiIFKaYhP4QcJuZHWVmm0SfowiDKU+M\n6uxKGE1NREREukAxneJ+QHg+fm9s/2XAncCYaH0a8L0ORyciIiJ5KWZgmc8I466PAbaMimdG5ak6\nr5UoPhEREclDMVfoQEjsZjY/tVy6kERERKRQBT9DN7NeZnaJmS0E/g3828wWmNnFZqaR50RERMqg\nmCv0qwgTtPwY+HtUthfhtbX+wP8rSWQi0iMkEgmSySQ1NTXU1taWO5yipc4DYMmSJfTr16/bn5N0\nL8Uk9JOA77n7w7GyN8zsQ8JsaUroIpKXRCJBXd0wWltb6N9/ANOnN3fLBBg/j6A3sLztnES6QjG3\nyAcTerGnmxZtExHJSzKZjJLgRbS2trRd4XY3K89jPHAFYSTs7n1O0v0Uk9BfB87JUH5OtE1EpECb\nlTuAEhkGpGaYrpZzku6imFvuFwCPmtlBwJSobASwKXBYqQITERGR/BV8he7ufyHMrvYgsG70+RNQ\n5+5/LW14IiIiko9i5kOvBd5399U6v5lZrbsnShKZiIiI5K2YZ+izCBOxrMLM1o+2iYiISBcrJqEb\n4BnK1wZaOxaOiIiIFCPvW+5mdn206MAVZtYS29wb2A3QGO4iIiJlUMgz9J2j/xqwPfBFbNsXhFfW\nflGiuERERKQAeSd0d98fwMxuB85z90WdFpWIiIgUpJjX1k6JJ3MzG2hmR5rZV0obmoiIiOSrmNnW\nJpjZOdHymsArwATgTTP7VonjExERkTwUM1LcPoQZ1wCOIjxTX5cwactFwAOlCU1EpGv1AzYnyRbA\nlkxgCz5kC2Cnm29me+DN8oYnklMxCX0QMD9aPhR4wN1bzOxR4Ocli0xEpLO5w803w913s9306dF7\ntzdFG69dWe+vf+UV4GLu4BfswoouD1SkfcUk9PeBEWY2n5DQvxuVr4feQxeRbsKATX7+c7jvPgDW\naKf+GsC13MjhfJmTgBmdHJ9IoYoZWOaXwB+AD4DZwHNR+T7ojpSIdAO9WcbtwAZRMgdYuv76TAHu\n4atcCZzGxRzAb9kK+Nc3vtF2Vb4n7/A6cEbbrz6RylDwFbq7jzOzlwmzqz3t7ql/5zMJz9BFRCpW\nP5ZwL//vc0saAAAgAElEQVTLkamCXr3g97/nzR12YI/6ekLXoH/Byho8uNtu/GDSJO5kY7biQ9YC\nfssfOALo+5//sHSDDbr6NERWU8wVOu7+irs/6O6fxcoedfe/ly40EZHSWht4jHM5kr8AsKJvX/jj\nH+Hkk7PsMQfoxcUXX8zfgR25l99yYNvWQ4Fh3/426z3+eOcGLpKHvK7Qo2FfL3b3z2NDwGbk7ueX\nJDIRkRJa49NPmQzsyisAfAbMueEGvnz00Tn2WgCsAE4Dfs/nDOAsTuFhJvN7BrERC+nz6adscdFF\nUQ2R8sn3Cn1noG9sOdtnp1IHKCLSURsBI6+8kl2j9fkM5CDg0912y7OFDVdZewLYjp9wT6zsBmAr\n3u9oqCJFyyuhu/v+7r4gtpztc0DnhisiUpgteZ+/Aet++CEAc1ifffkdL3Ww3U9Yi+OB5FFHAbAW\ncDcX05vlHWxZpDhFPUMXEekO1mQxT3E2W0TrM4G9+D3/5MslO8YH559P6yabADCCN/kxj5SsbZFC\nFDJ96p/yqefuuR5IiYh0mf/jdrYiXJkv2Hhj9vrwQ+awaUmPsWLAAP59xRVsfcop9AYu5UGeAKaW\n9Cgi7SvkCn1h2ufrhN4i6eUiImX3ZeB/uAsI8zs/f955zOmkY32+ww5cHS33ZTl3A2uypJOOJpJZ\n3gk9mmWt7UP4f+SCDOVFMbOzzWyWmS02sxfNbJd26u9nZlPNrNXM3jazkzLUOdbMmqM2XzezUWnb\n/9fMXjazRWY2z8weNLNtMrRzuZnNNrMWM3vazLYu9jxFpAu482ugH0sB+AXw6UYbdeohLwdeYRgA\nw4CfktdNTZGSqYhn6Gb2HeA64FJCb/nXgSfNrCZL/c2BScBkYEdCB9NbzWxkrM4ewD3ALYTe9w8B\nE81s21hTewM3ArsBBxF68j8VzSKXaudC4BzgdGBX4PMotvZGihSRMql9+WUOjpb/zdC22aQ60zLg\nBK5gcfRC0Lk8y8jcu4iUVEUkdGAMcLO73+Xu04AzgBbg1Cz1zwRmuvsF7j7d3X8D3B+1k3Iu8Li7\nXx/VuQRoIiRnANz9MHe/292b3f1N4GSgFqiPtXMecIW7T3L3fwInEt6CORIRqThrA/Xjx7etn8eP\naOmiY09jCy6goW39dqD3Qj2JlK5R9oRuZn0JCXRyqszdHXgGGJFlt92j7XFPptUfkUeddOsCTjSb\nnJltAQxNi20R8FI77YhImVwKDPjkEwAeZU8eYr8uPf5vOIinouWNgdprrgmzuol0skJ6uR+eVtQL\nONDMtosXuvvDBcZQA/QG5qWVzwPqsuwzNEv9gWbWz92X5KgzNFODZmaEiWf+5u5vxY7jhbQjIuXz\nVd7lv6LlVuBc/ocwr1rXcXpxCvAmAxhMC+s9/TQL9t23S2OQnqmQyVkmZii7OW3dCcm5OxoHbAvs\nWYrGxowZw6BBg1Ypa2hooKGhIcseItIxzm+4tu2X2jXAzBK/opav2cCZjOY+fgfApj/9KRtF5VKd\nGhsbaWxsXKVsYRc/bsk7obt7Z92eTwLLgSFp5UOAuVn2mZul/qLo6jxXndXaNLNfA4cBe7t7/M2W\nuYQ/74ew6lX6EODVLLEBMHbsWIYPH56rioiU0GgeY1+aAPh0gw249j//KWs8E9iFw/kdxwN9PvuM\nHxM69kh1ynTB1tTURH19fZY9Sq/sz9DdfSlhDIa2KYyi298HAi9k2W1KvH7k4Kg8V52RaXVSyfwI\nYH93T6TFNouQ1OOxDST0is8Wm4h0sUHAL/hl2/orJ51UEW+BnwcsXzO8NPN9YIiG6pBOVPaEHrke\n+L6ZnWhmXwFuAgYAdwCY2TVmdmes/k3AlmZ2rZnVmdlZwDFROyk3AIea2flRncsIne9+napgZuOA\n44HjgM/NbEj06R9r55fARWb2TTPbHrgL+IDwGpyIVIArgCGhLyt/AmbvuGNZ40n5GEgecwwA/YEf\ntXWXEym9ikjo7j4B+BFhbIZXgR2AQ9z9o6jKUFj5MMzd3yOMVHcQ8BrhdbXT3P2ZWJ0phER9elTn\naOCIWIc3CK/HDQSeIzzeSn2+HWvnZ4R31W8m9G5fExjl7l+U5ORFpEN2Zg5nRcuf07+tU1ylmDd6\nNCvWCMNWnMlzrF/meKR6FdIprlO5+zhCx7RM21Ybgc7dn2fV98Uz7fcA8ECO7fnONncZcFk+dUWk\na/2Sp9p64l7B93h/5U24irCspobkUUexwX33sRZfVNwfHFI98kpoZnZu6ja0mdVGz7hFREqqubmZ\npqYmEolE+5UJA1LsE81BPp3NuJ7RnRhd8eadcAKpW3o/BN595ZWCzlMkH/necr+ecGsaYBbwpc4J\nR0R6po+BXowePZr6+nrq6oYxZ077U6n8d2z5p5zM0mjY1UqzdMMNSXUCGgS88YMftJ2nkrqUSr4J\nfTbwLTPbjPAa1ybRlfpqn84LVUSq12eEyRvHA+NpbW1hwYIFOfdY44MPOCpangPcw6GdG2IHXQMs\niwa5GcParMWttLa2kEwmyxuYVI18E/qVhN7eMwmDx/yDcKUe/7wX/VdEpEjDok/7NrjnnrZn578G\nvqCy50uaBdxDGFhzfT7jDN4sb0BSdfLtFPY7whCtOxKu0EcCw9M+O0f/FRHpXJ98wvoPh1GmW+jD\nTWUOJ1/XsCcrouUfMZ7+OWuLFKaQkeI+Bf5pZqcAf4+NyCYi0rVuvpneixcDcDs7Mp+pZQ4oP9Oo\n4X7Ce7FD+ZjTyh2QVJWC30N39zvdfYmZ1ZvZ6OijK3MR6RpffAE33giEp+5j2a288RQoPjf7hYAt\nXVquUKTKFJzQzWwDM3uW8Bz9V9HnFTObbGbq/S4inevee2F2mOZkIjCDweWNp0BvAA+zDxBGyxo8\naVJZ45HqUcxIcTcC6wBfdffB7j4Y2I7wWtuvShmciMgq3OG669pWr8tRtZJdxalty0Nvvx2WLStj\nNFItiknohwJnuXtzqiAaTvVsYFSpAhMRSbfOyy/DG28A8Pl223XbGZJeZnueih4V9PvwQ0ibdlOk\nGMUk9F5Apoc+S4tsT0QkLxuMH9+2PG90ZY4Kl68r+d7KlauvhuXLyxeMVIViEvCzwA1mtlGqwMw2\nBsYCk0sVmIhI3LbAoBeia/LNN2fB/vuXNZ6O+ivDeT61Mm0aPPpoOcORKlBMQj+H8Lz8PTObYWYz\nCGMmDCQMUywiUnLnx1f+67+gT8XMLVW0a+Mrt9xSrjCkShT8f4S7vx+9pnYQ8JWouDk+damISCkN\nIbly2pVBg+DUU+Gdd8oZUkk8AXwxZAhrzJsHjz0G778Pm27a7n4imRT1zNuDp939xuijZC4ineYc\nJtAvtfKDH8A665QznJJZASSPPDJaWQG33VbWeKR7Uyc2EaloA1jMmdwPgPfuDT+srid7Hx9+OPSK\nfhXfeqs6x0nRlNBFpKKdxCOsz0IA5h9yCGyySZkjKq2lQ4fCYYeFlQ8+gCeeKG9A0m0poYtIRTuH\nCW3L/+nmr6pldfrpK5fVOU6KpIQuIhVrN2DbaFbm54HFdXVljafTjBoFG28clidNgg8/LG880i0V\nM5b7cDPbPrZ+hJlNNLOrzayyJyQWkU6RSCRoamoikUiUtN1TY8tV3V2sTx84LZp7bflyZl91Vcm/\nS6l+xVyh3wxsA2BmWwL3Ai3AscDPSheaiHQHiUSCurph1NfXU1c3rGSJqHdrK9+Nlj9lQNQtroqd\ndhpuBsAXv/0tw7b5ipK6FKSYhL4N8Fq0fCzwvLsfB5wMfKtEcYlIN5FMJmltbQEuorW1hWQyWZJ2\na//xDwZGy/cxks9L0moFq61l0R57ALA5sPeSxSX7LqVnKCahW2y/g4DHouX3gZpSBCUi3dFmJW1t\nq7/8pW35No4oaduVKnnUUW3Lp+eoJ5JJMQn9FeAiMzsB2BdIDUC8BTCvVIGJSM+1JTBk2jQAprEZ\nU9ihvAF1kYV77cXsaPlwoM9HH5UzHOlmiknoY4DhwK+Bq9z93aj8GOi2sxmKSAU5ObYcrs6tTJF0\nsb592zr/9QHWf+SRckYj3UzBCd3dX3f37d19kLv/JLbpf4ATSxeaiPREvVjeltCXAXdzWBmj6Xq/\nB1ZEf8DUTJwYhoQVyUMxr63NNLP1M2zqD7zd8ZBEpCc7iJdITU/yGDCXL5UznC73HvAU2wLQ78MP\nYbJmpZb8FHPLfXOgd4byfkB1jckoIl3uVB5uW67qd89z+B37xFZ+V75ApFvJe/pUMzs8tnqImS2M\nrfcGDoRoSCcRkSIMZgFH8hwAiwcO5NFFi8obUJk8wg7MBYYCTJwI8+bBkCFljkoqXSFX6BOjjwN3\nxtYnEgaXGQn8d6kDFJGe4zieoB9LAZi1114sK3M85bKMPtzetrIM7rijjNFId5F3Qnf3Xu7eC0gA\nG6TWo08/d69z90mdF6qIVLv47faZ++yTo2b1uzW+csst6hwn7Sqml/sW7q7hi0SkpHYCdmY6AC8B\nC6tsmtRCzQQW7bZbWJkxA55/vqzxSOXL+xl6nJkdSHhmvgFpfxS4+6kZdxIRySF9IpaefX0efHz4\n4Qx86aWwMn487LdfWeORylbMa2uXAk8REnoNsF7aR0SkIP1YxvHR8mL6cW9Zo6kcC/bdF9ZeO6z8\n8Y/Q2lregKSiFfPa2hnAye6+m7sf6e5HxT+lDlBEqt/hvM3gaPl+DqRn9m1fna+5JnwrmvNq0SLQ\nyHGSQzEJfQ00xKuIlNCpbRM4wm0cnqNmDzR69Mrl8ePLF4dUvGIS+q3AcaUORER6pk2Ag5kJwEw2\n5i/UlzegSrP//rDRRmH5scdAU6pKFsV0iusPnG5mBwFvQPTSaMTdzy8mEDM7G/gRYSyF14Efuvs/\nctTfD7gO+CrhVbqr3P3OtDrHApcTRrd7G/ixuz8e2743YQz6emBD4Eh3fzitjduBk9IO/4S796wB\npkUKlEgkSCaTLFmyhH79+gFQU1NDbW3tKvVOYuWVxe18E89xndHc3NzWXnNzc0HxzJrVTce96t0b\njjsOfvGL8E76hAlw1lk5d0l995D5O8+1T771pfIUk9B3gLb7Y9ulbfNigjCz7xCS8+nAy4QZ3Z40\ns20yvSJnZpsDk4BxhLsFBwG3mtlsd386qrMHcA9wIWGK1+OBiWa2s7u/FTW1VnQuvwf+lCPExwkT\nQKWmfFpSzHmK9BSJRIK6umG0trYQBpJcDkD//gOYPr15ZcJwb5vRaQVwJ9/I0uIcoBejR49epb38\nhH0vvvjigs+jYpxwQkjoAHffnTOhr/rdZ/jO29knn/pSmYp5D33/HJ8DioxjDHCzu9/l7tMIHe9a\nWPVNlrgzgZnufoG7T3f33wD3R+2knAs87u7XR3UuAZqAc2Ln8oS7X+LuD5F7fsYl7v6Ru/8n+izM\nUVekx0smk1FCOY2QfMcD42ltbWm7cgQY8NZbbBMtPwe8z4ZZWlxASPnx9q7IM5r4vt3UDjvA9tuH\n5RdfhHffzVp15Xef+TvPvc9FedWXylTMM/SSMrO+hFvebVMKubsDzwAjsuy2e7Q97sm0+iPyqJOv\n/cxsnplNM7NxZja4/V1EhLYEPSz6rGrw421PwPhDwe1tUWQs3dQJJ6xczqtzXObvPLfNCqwvlaSY\n99D/bGbPZvsUEUMN4R7avLTyeURzE2QwNEv9gWbWr5062drM5nHCPO8HABcA+wKPmVmuK3oRac+y\nZaz35JMALKE3D5Q5nIrX0ACpXzvjx4MX9YRTqlgxz9BfS1vvSxi1cTvCpC1Vxd0nxFb/ZWZvAjOA\n/YA/Z9tvzJgxDBo0aJWyhoYGGhoaOiNMke5n8mT6zp8PwCS+zEKmlTmgCrfJJnDAAWF+9Bkzwq33\nEcXccJTO0NjYSGNj4yplCxd27dPZghO6u4/JVG5mlwFrFxFDkvBQLH1uwCHA3Cz7zM1Sf5G7L2mn\nTrY28+Lus8wsCWxNjoQ+duxYhg8f3pFDiVS3P6y8yT6e7UAJvX2jR4eEDuEqXQm9YmS6YGtqaqK+\nvutewyzlM/TxZO/ElpW7LwWmEoaSBSC6nX0g2QewmRKvHzk4Ks9VZ2RanYKZ2SbA+oSusyJSjM8/\nhwcfBOAT4DG2Lm883cXRR8Oaa4ble++FL74obzxSUUqZ0EcAxQ40fD3wfTM70cy+AtwEDADuADCz\na8wsfjv/JmBLM7vWzOrM7CzgmKidlBuAQ83s/KjOZYTOd79OVTCztcxsRzPbKSraMlrfNLb9Z2a2\nm5ltFk1KM5HwTvuTRZ6riDz8MHz2GRBeT/miuHmiep6BA+GII8Ly/PnwxBPljUcqSsH/F5lZ+vva\nRug++jXyf49kFe4+wcxqCIPADCE8pz/E3T+KqgwFNo3Vf8/Mvg6MJbye9gFwmrs/E6szxcyOA66K\nPu8AR8TeQSeK+c+E9+ed8C48hL4ApxIeBexA6BS3LjCbkMgvie4siEgxYrfb8+vdLm1OOCFcnUN4\nJ/1wDZUrQTF/Fqc/5V8BTCckuaeKDcTdxxEGism07ZQMZc9D7jEi3f0ByN551t3/Qo67FO7eChya\n6xgiUpjen3wCUe/2L4YM4fl56S+jSE4jR8KXvgQffRQma1mwANZdt9xRSQUoZmCZU9I+p7n7jzuS\nzEWk51jv6afDEKbA/EMPLW54yZ6sb9/wChvAkiVw//3ljUcqRtHP0M2s3sxGR5+dSxmUiFSvwbHn\nvp+MGlXGSLoxzcAmGRQzsMwG0QAy/wB+FX2mmtlkM/tSqQMUkeqxBbD266+Hle22Y/GXv1zWeLqt\nr30N6urC8l/+Av/+d3njkYpQzBX6jcA6wFfdfbC7DyYMKjOQkNxFRDJaZd7l448vVxjdn9mqV+n3\n3FO+WKRiFJPQDwXOcve2uQujnuNnA7p/JiJZOKukcI2a2DHxP4juvltDwUpRCb0XaXOgR5YW2Z6I\n9AA7M23lVCH77AObaSKQDtliC9hrr7Dc3AyvpY/KLT1NMQn4WeAGM9soVWBmGxPeCZ+cdS8R6dFG\ns3JmNd1uL5H4bfc/6I3+nq6YhH4O4Xn5e2Y2w8xmALOish+WMjgRqQ69WM53o8EVV/TpA8ccU+aI\nqsQxx0CfaDiRxkZYvry88UhZFTM5y/tmNhw4CPhKVNwcH6VNRLqHRCJBMpmkpqaG2traVcqAVco7\nYn9eYSNCm4v23JN1Bw/ucJvVorm5Oev33Nwcuipl/Tmsvz6MGhUGmJk9m3l//CPNSuo9VlEDKLu7\nA09HHxHphhKJBHV1w2htbaF//wFMnx6SR6oMaCvvaFI/Pna7ff6oUWhcMwjzO/Vi9OjRq3z/wcdt\n26Cdn8Nxx4WEDjw6ejSnKaH3WHnfcjezA8zsLTMbmGHbIDP7l5kdUtrwRKSzJJPJKHFfRGtrC8lk\nMlY2HhjfVt4R/YFv8SwQxo1euPfeHYy8WiwgjJx9UYbv+bNoWx4/h8MPh7XDzNVHLV/OGpzcmUFL\nBSvkGfp/Abe4+6L0De6+ELgZPUMX6YYy9TYfFn067pvAQD4HwsQK3r9/SdqtHrl6++fxcxgwAI46\nCoD1gFHRdy09TyEJfUcg11x9TxFmJhMRaRPvz65+2J3kuJVD9hzPP8sYiJRTIQl9CJnfP09ZBmjo\nVxFpsx6L20abmk0Nz5UzmGp20EEsXW89AL7J26xT5nCkPApJ6B8ShnjNZgdCLw8REQCO5S3WiJYb\nOYQVZY2mivXpwycHHwxAf5ZzdJnDkfIoJKE/BlxhZqs9ADOzNYGfAJNKFZiIdH/x279/0MjQnWp+\nbOa643LUk+pVyGtrVwJHA2+b2a+B6VH5VwjjuPcGripteCLSXdUC+/A+AG+xBa+2DVshnaFlu+2Y\nAWwFHAgMIck8asoclXSlvK/Q3X0esAfwT+Aa4MHoc3VUtldUR0RklavEcHVu5QqlZzAjNedab+A7\nPFXOaKQMChr61d3/7e6HATXAbsDuQI27H+buszojQBHphnzVmdXu4dCyhdKTxCdRPT7nS0lSjYqa\nHc3dP3H3f7j7y+7+SamDEpHubc133mnrQft34D02Lmc4PcY0oImhAOzKv9iaRHkDki6l6U5FpOQG\nP75yqFe9e961/hB7Gek4XaX3KEroIlJaK1aw3pNhZrWl9GJCmcPpae5l27bXA+Nj6Ev1U0IXkZJa\nu6mJNeaF/rFPsiUflzmenmY2A9sG8NmGBPXlDEa6lBK6iJRU/Hb7eLYvYyQ9V/wxx/FZa0m1UUIX\nkZLpB6z7zDMAfAo8zDZljaenegBYQl8AvgugKVV7BCV0ESmZw4A+n30GhEEqFkdJRbrWQuBR9gJg\nQ2CdV14pazzSNZTQRaRkNLNa5Yi/+7/eE+rt3hMUMvSriFSx5ubmvOolEgmSySQ1NTXU1ta2lQ+i\nhW9Ey0sHD2by/PlZj7NkyRL69euX9zE7S3Nz82rnUUwbHdleSL3Udw+0G/ck9mYhazGIzxn49NO8\n9Nxz9B04MK99O0sh8UvhlNBFeryPgV6MHj263ZqJRIK6umG0trbQv/8Apk9fmYS+xVT6RcufHHww\ny++9N23vObHj9AbK+Vx3ZSzp55G/9r63fL/X/OrNmTOHPffcm9bWFoC2uLMlxSX043724DSeZo3F\nixm7/wHch+e1b2eI/9spVwzVTrfcRXq8z4AVwHjgipw1k8lk9Av5IlpbW9qutgCO56W25fjMXyst\niI5zGiGZt3+8zpOKZfXzyF9731u+32t+9RYsWBB99+OB8XnFfRe7ti2fiBe0b6mt/LdTvhiqna7Q\nRSQyrIC6m62ythGwH28D0FpbS8tXv5pj3w2LOF5n2az9Ku1q7zzyPc9S14O/Usd7wObAIcAQvlQB\nM7BVws+9OukKXUQ6rAHoFd3OnT9qFJhmVqsETi/ujpZ7o6Fgq50Suoh0WPzp7ycZb7dLudwdWz6R\nR8sWh3Q+JXQR6ZD+M2awU7T8ErBk003LGY6keQeYEs12txNvs0P0aESqjxK6iHTI4Mcea1vWu+eV\n6U52aFs+kUlljEQ6kxK6iBRv+XIGPxpu4y6lN+kvqkllmMC2LImWj+cJepc1GuksSugiUrSBL73E\nGh99BMCjbM9HZY5HMvuENXkkWh7Kx4wsazTSWZTQRaRogx95pG35DvYoYyTSnrtiyyeVLQrpTBWT\n0M3sbDObZWaLzexFM9ulnfr7mdlUM2s1s7fNbLV/o2Z2rJk1R22+bmaj0rbvbWYPm9mHZrbCzA7P\ncqzLzWy2mbWY2dNmtnXHzlak+1sXWPe55wD4CHhMU6VWtCeAj1gXgCOB3p9+WtZ4pPQqIqGb2XeA\n64BLgZ2B14EnzSzjCAhmtjkwCZgM7AjcANxqZiNjdfYA7gFuAXYCHgImmtm2sabWAl4DzoLoJdrV\nj3UhcA5wOrAr8HkU2xrFna1Idfgu0OuLL4Aw9tdSjVNV0ZYCjRwCQH9WTnMr1aMiEjowBrjZ3e9y\n92nAGUALcGqW+mcCM939Anef7u6/Ae6P2kk5F3jc3a+P6lwCNBGSMwDu/oS7X+LuDwHZRsI4D7jC\n3Se5+z+BEwkDYx1Z/OmKdH+nxJbvKFcQUpA7+Wbbcqozo1SPsid0M+sL1BOutgFwdweeAUZk2W33\naHvck2n1R+RRp73YtgCGpsW2iPC6bd7tiFSbbfmwbZTwlro63ihrNJKvJr7Cv9gSgHVefRVmzixz\nRFJKZU/oQA1hVMJ5aeXzCMk0k6FZ6g80s37t1MnWZrbjeAnaEakqJ/NC2/LH3/xmjppSWYy7+PrK\n1bvvzl5Vuh099OokY8aMYdCgQauUNTQ00NDQUKaIREqjN3ACLwKwok8f5h96KPziF+UNSvL2B0Zx\nDTeGq7m77oJLLil3SFWhsbGRxsbGVcoWLlzYpTFUQkJPEuZSHJJWPgSYm2WfuVnqL3L3Je3UydZm\ntuNYtF/8Kn0I8GquHceOHcvw4cMLOJRI93AIMJRFACzcZx+Wr7deeQOSgnzIECZDeBd95kx44QVY\nc80yR9X9Zbpga2pqor6+vstiKPstd3dfCkwFDkyVmZlF6y9k2W1KvH7k4Kg8V52RaXXai20WIanH\nYxsI7JYjNpGq0tzcTCKRaFuPd4abn+F2e3NzM83NzV0QWXazZs0qqH4lxFyM9J9NvuLvpCevuy7r\nuScSCZqamoo6hnS9SrhCB7geuMPMpgIvE3qrDyDqPGtm1wAbuXvqXfObgLPN7FrgNkLCPQY4LNbm\nDcBzZnY+8Chhhsd64PupCma2FrA1K3u4b2lmOwLz3f39qOyXwEVm9i7wHnAF8AHhNTiRKjYH6MXo\n0aPp338A06c303vBAlKDNcwFFo6I9w39uK1++YSYL7744jzrV0LMxVj9Z1OIPwG39+9Pn9ZW+jz4\nIN978MHV6iQSCerqhtHa2tJ2jNra2tKEL52i7FfoAO4+AfgRcDnhVvYOwCHunhpJciiwaaz+e8DX\ngYMI75GPAU5z92didaYAxxHeH38NOBo4wt3fih36a9HxphI6v11HeLXtJ7F2fgbcyP9v77zDoyrW\nBv57EyAURYRIU0BEhIhXpKgI2ECwINZ7rQgqylX0+l3sXsFy7aig1y7YEMUuCIIootgQBRQVIRaC\nUUogEGpICNn5/pjZ5GTZJJu2Z3fz/p5nnz0z856Zd86cc95pZwaewc5ubwCcbIzZWT25V5RYZRMQ\nAEaTl5dLdnY2TT/4gOACDJMB6tb1yG9z8pOx9V4/COo8PEL5WNC5MuxeNhUhF/jjcLt2VxNgMOfs\nJpOdnU1eXm6l01CiT6y00DHGPAk8WUrYJWH8PsO2uMuK823g7TLC5xFBpcYYcwdwR3lyipKYtCs6\nalZiqVfoF1Y+rYb1iYRWFZSPBZ0rQ7vyRUoho29fOnz+OQDDSOfNGkhDiS4x0UJXFCX2afDrrzRc\nvhyAb2nHUp/1UapGVloawZHxk/iB/XzVRqkO1KArihIR3o1YXqCPj5oo1UJSEs+5w2QMl/mqjFId\nqLcqffIAACAASURBVEFXFKVc6gBNZ84EIB94rWidOCWeeQ4odGbgMiCZQl/1UaqGGnRFUcrlFKBu\nTg5gP+/IoZGv+ijVwypgBkcDsC8wiB991UepGmrQFUUpl4s9xy/4pYRSIzzN2UXHVzDPR02UqqIG\nXVGUMtmHLZzqjnempvKRr9oo1c2H9GIldqfqE1mqc9rjGDXoiqKUyVDmE/zafOOgQTrKmmAESGYC\nxwOQhCleeUuJO9SgK4pSKknAlZ5u2A2nn+6fMkqN8TzHUOCOhwMUFJQhrcQqatAVRSmVk4AO2AUb\nt/TqRX477ZBNRNayd9Fa1i2BJvN0LD0eUYOuKEqpXOU5Xn/O7suDKonDM57j1Hfe8U0PpfKoQVcU\nJSwdWMtJ7nglsLlvXx+1UWqaj4Hf2QeAxgsWkPLnn2WfoMQcatAVRQnLlXxc9IJ4CiA52UdtlJrG\nAM+6b9IBmoXZgU2JbdSgK4qyGw3YwaVuMlwedYqWCFUSmxfoQ3AbyWbTphXtrKfEB2rQFUXZjfOZ\nzd7kAvA6h7PBZ32U6LCexgRHz+tu2sSZvmqjVBQ16Iqi7MbVvFF0/Lj7RlmpHXgnx/3TNy2UyhAz\n+6ErilKzZGZmkp2dTWpqKm3bti1V7iigG+kAfAMspH10FAwhIyPDl3RrC6Vd30+BLS1b0njtWo4H\nOrHG3Q0lCd5PAPn5+aSkpJR7byk1ixp0RakFZGZm0qlTGnl5udSv35D09GWlyl7tOX685lULwxog\niTFjxviSeuJT1vXdACRxx9q1jHM+I/iM60KkvPeTJRkoLLq31Kj7g3a5K0otIDs72718R5OXl1vU\nsgqlOZv5uztez56ejvdosgkI4NYsU6qdsq7vNiDASzxFnmvvDWM+KSFSxffTZOAuoJDy7i2l5lGD\nrii1irJXerucT4pmNj/HseTXvEJl0MrX1BOf0q/vRo7gLbfnfTO2F1XydicNioZkdBVBv1GDrigK\nAMns4go+BqCQJJ6mv88aKX7yDP2Kjq8CMMY3XZTIUIOuKAoApzOP/cgBYAZH84dbNUypnXxBJ35w\nx0cBjb7/3k91lAhQg64oCgBXeUbMn+AfPmqixAbCgx5Xyxdf9EsRJULUoCuKwsFAPxYCkA7M4Uhf\n9VFig9eATJoCsNcXX8BPP/mrkFImatAVRWGk5/hJwOirQQF2AeMYUOzx4IOlyir+o0+totRy9iSf\noe54Oym85Ks2Sqwxkb5sDDpefRUyM/1URykDNeiKUsu5gkXs6Y5fpg+bfdVGiTW2U794gaFdu2D8\neD/VUcpADbqi1GIaANexAIAAwiNFO6ArSjGPAYEUt7zMhAkkb9ZqXyyiBl1RajEjgBZsB+ANBpBO\na38VUmKSbGDDaadZx/bt7PPmm77qo4RHDbqi1FIkP58bPe57uNQ3XZTYJ2vIEEiyJmOf116jvs/6\nKLujBl1RainNpk0rao+/A/xERz/VUWKcnfvtB+ecA0DdnBwu8VkfZXfUoCtKLUQKCkosFHKXf6oo\n8cSNxX0612GXC1ZiBzXoilILaTp9OvWysgCYTkd0UU8lIrp1gwH2u/QOwNnM9VcfpQRq0BWlllEH\naPnCC0Xuu+jrnzJK/HHTTcWHvAjopi2xghp0RallXAikrF4NwGzgW/b1VR8lzujXj+1paQB0J53+\nLPVZISVIHb8VUBQleiQR4D8e938rcO6yZcuqWx0ljgiWf2pqKruGDeOAm28G4CZmuE13Kxdnamoq\nbdu2BSAzM5Ps7Gzy8/NJcd+9e8OVslGDrii1iHP5loPc8daePflq4cIIztoAJDFkyJAa1EyJXUqW\nf/36DXnr9SkEgAOBAfxEd2BxheJcUxRn/foNSU+3lYVOndLIy8sFkoHCovTS05epUY8A7XJXlFqC\nAKN5v8i95rLLIjxzGxAAJqPz4Wsj3vKfTF5eLpu2buUhj8SYCse5ycU5mry8XLKzs8nOznbGfDjW\nmBenl52dXeVc1AZixqCLyFUikiEiO0TkaxE5vBz540RkkYjkicgvIjIsjMw/RGSZi3OJiJxc0XRF\n5AURCYT8ZlY9x4oSXc4GDmYNANu6dmVbz54VjCENaF/dailxQ5r7WV4CVpMKwBnA0fxSiTjbhfFr\nFTY9pXxiwqCLyLnAw8DtQDdgCTBbRFJLkd8fmAF8DHQFHgUmisgAj0xv4FVgAnAYMA2YKiIHVyLd\nWUALoKX7nV+lDCtKtAkEGO1xrrn8chDxTR0l/skDxnBlkfth3kDvKH+JCYMOjAKeMcZMMsYsB64A\ncqHUtSivBFYYY240xqQbY54A3nLxBLkGmGWMGedkbsMO81xdiXTzjTHrjTHr3E93JlDiir0++4yu\n7ngBsLVXLz/VURKEFxnMD7QB4HD+0JaOz/hu0EWkLtADiidKGmMMMAc4qpTTerlwL7ND5I8qS6aC\n6R4nIlkislxEnhSRphFkTVFiA2NoNWFCkfMu0Na5Ui0ESOZ6Lihy3wtIXp5/CtVyfDfoQCp2SmNW\niH8Wtns7HC1LkW8sIinlyATjjDTdWcBQoB9wI3AsMFNE34hKnPDGGzRcvhyAxbT1TItTlKrzEX9j\nljtuBzSfMsVPdWo1+tlaORhj3vA4l4rIj8DvwHHAJ6WdN2rUKPbaa68Sfueffz7nn6+dUkoU2bYN\nrruuyHkbpwGP+6ePkpDcAAxESMbYVQjHjIHmzf1WK6pMmTKFKSGVmc1R3jc+Fgx6NvYbhRYh/i2A\ntaWcs7YU+S3GmPxyZIJxViZdjDEZIpKN/QSzVIM+fvx4unfvXlqwokSHu++GVasAO4v0/aKRdEWp\nPpYCz9GXEXxO8vbtcMcd8OSTfqsVVcI12BYvXkyPHj2ipoPvXe7GmAJgEdA/6Oe6s/sDX5Vy2nyv\nvGOg8y9LZkBQppLpIiL7Ac3Aff+jKLFKejqMGwdAoG5d/u2zOkpicxunszXoePZZ0JUFo47vBt0x\nDrhcRIaKSGfgaaAh8CKAiNwnIi955J8GDhCRB0Skk4iMBP7u4gnyKHCSiFzrZO7AToLz9jeWl24j\nERkrIkeKSDsR6Q9MBX7BTrBTlNjEGPjXv6CgAICsoUP53WeVlMQmi714IOgoLCyx1aoSHWLCoLtx\n6uuxS0t/BxwKnGiMWe9EWoL7NsLKrwQGAScA32M/PxtujJnjkZkPXACMcDJnAacbY36uQLqFzm8a\nkI79pv1b4BjXwleU2OTdd+Gjj+xx27asveQSf/VRagXjgJ3BsfMZM2Cubq8aTWJhDB0AY8yTQNhB\nF2PMbm8jY8xn2BZ3WXG+DbxdhXTzgJPKOl9RYo7cXBjlWZJh/HhMgwb+6aPUGnYAq0eOZP877rAe\n110HixZBUky0HRMevcqKkmjcdx9kZtrjAQPgzDP91UepVWwcNAgOO8w6vv8eXn7ZX4VqEWrQFSWR\n+O03GDvWHtetC489povIKNElKQkefrjYfeutttdIqXHUoCtKIvHvf8POnfZ41Cjo1MlffZTaSb9+\ncOqp9njVKrjnHn/1qSWoQVeURGHGDHjfrQPXurVd3ENR/GLsWKjjpmndfz+NlizxV59aQMxMilOU\n2sAnn3zCV1/ZZQ6OP/54evfuDUBmZibZ2dmkpqbStm3bUs8PJ5eZmcmGVas45KqrqOvksm+5hcxf\nfik3vqqyTL81jgmiXQ4ZGRmlhgV1yc/Pp93ll9P6qacgEGD/MWNoBGyPko61ETXoihJFTj55EAUF\nyYBh770fIzt7LZmZmXTqlEZeXi716zckPX1ZWCMcTg6gU6c0rs/LpZuTy+vVizbX30he/o4SctXL\nBiCJIUOG1EDcSuREuxzWAEmMCdv7E6pLMskU8oUk0csESFm1ivHY74iVmkG73BUliuzaVUAgMJZA\nYAwFbtGX7Oxs8vJygdHk5eWSnZ0d9txwctnZ2XTMy+U/rm5ukpNZMWoUefk7yo2vamwDAsBk3P5t\nii9Euxw2ufSGR6BLIYWM5kIToNB9Nnk5MJh5UdCzdqIGXVFihnYVlkvavp03gQbsAmDdeeeRd+CB\nFYyvKqQB7aOQjlI20S6HVmWEeXVpxwrgL88GQRO5i+ZEd9OS2oIadEWJV4yh7T33EJzHvhhYfdVV\nfmqkKGHZcMYZbDr2WACak8NEJvqsUWKiBl1R4pTUt96i6Wy7pcBmGvAPwKSk+KuUooRDhMzRo8ly\nzsF8x2W+KpSYqEFXlDikG7CfZ/GOSxnGCv/UUZRy2dW0aYmR9/FAB9b5pU5CogZdUeKMxuTyJpDk\nJtU9ArxT9rYGihITvA88w1kA7AG8zHMk+6pRYqEGXVHijOd5iQ7ueHuXLugmlUo8cR2j+JUWABzF\nCm7xWZ9EQg26osQR1wBnsxiAXY0bk3H//eg+vko8sZ2GXMSV7rsMuB1o9N13fqqUMKhBV5Q4oeGP\nP/Kgx/3HnXeys3Vr3/RRlMqygAMJru5eB+hw7bXU//13P1VKCNSgK0o8sHEj7W++mXrOORbYfMwx\nfmqkKFXibuBDDgagzpYtHHj11bTxV6W4Rw26osQ6O3fCkCGkrF0LwJd04FafVVKUqrILOJsr+da5\n661bx2ygGbrVamVRg64osczOnXDuuTBrFgDZwLmMKBp/VJR4Zhv1OQXIc3sXpAEzeJ2GvmoVv6hB\nV5RYpaAAzjsPpk4FIJCSwj+AVTT1Vy9FqUaygd+eeIKdqakA9GIVbwF1dLpnhVGDriixSEGBbZm/\n+65116/P7+PH86mvSilKzbCzdWt+f/xxNjn3ycAL3IkQ8FOtuEO3T1WUWCPYMvcYc957j63Nmvmr\nl6LUIDs6dmQw8CF1aMAuhjCLdTTlunLPVIJoC11RYog6QPtbb4V33rEeKSkwbRoMGOCrXooSDb4A\nzuUsCp37Wl7RhZMqgBp0RYkR6rCLKcDeH39sPVJS4L33YOBAX/VSlGgynYMY4XE/ALR68kkIaPd7\neWiXu6LEAHWAV5nI34MeKSmsmzCBv1JTyZ8/n5SUFJYtW1binFB3aX5KYpCRkeG3CjVG6H37PNCc\nq7iPJwBo9dxzsG4dTJ4MjRuTmZlJdnY2+fn5pLgdBlNTU2nbtm1RmNcvUso7NxheXrxBuTVr1kSc\ndnWgBl1RfCY5J4epwCAWARCoV4/sCRNoN+IK8vJygWQo6oQE2AAkMWTIkHL8lMRgDZDEmDFj/Fak\nBij9vr2fS8gjhYcYZzdwmT4devVi9VNP0emkU3Z7NurXb8jcuXPo1+8EF2b90tOXRWTUMzMz6dQp\nrdRzveFlxeuVq1evfmUuSqXRLndF8ZN580i74AIGOWcesOLhh/mrSxf3YhmOfWFNBu5yUtuAQAR+\nSmKwCVu2w8sTjEPKum+FR7iQk7D7FgCwbBnNBw/mmN2ejcnk5eWyYsUK99wU+wVb3OWRnZ1d5rnF\n4aPLjNcrt3NnXmSXoZpQg64oPpBMITfn5UK/ftRbZ/eEXs8enAps6d3bI9nK/acB7UNiidRPSQxa\nlS8St5R+384B0idNgoPdMrFbtzITuI6VnnPTwsQX6lcRXco6t12E8UQqV32oQVeUKLMvOXzMRG7Z\nmVc00Wcu0JXb+dhf1RQlJslv0wa+/hrOOAOwHe0P8TEvA/WJbis4llGDrihR5FQTYAn3cixuglNy\nMqtHjmQAsIYmvuqmKDHNnnvC22+zZkTxHPghwFdcyhH86J9eMYQadEWJBnl5cM01TA0EaMZ2ADIl\nCebNY+3w4boelqJEQlISa/75T84CtlEXgG6ks4CLeRFokJPjp3a+owZdUWqSggKYMAEOOggee6zI\n+x26cPQejaFPHx+VU5T45F3gKC5hqcdvGDD4+uu5GUgh3x/FfEYNuqLUBIWFMGkSdO4MI0bAn38C\ndhb7lZzH2Qxhk+jjpyiV5SeacxjwL24ghz0BqJufz33Az/yDM5jrq35+oG8URalOAgF4/XU45BAY\nNgxWrCgOO/VUjkhK5mmOAcQ3FRUlUdgFPM55dORdngACYp+rA1jFu9zAHKDB8uV+qhhV1KArSnUQ\nCNg117t1sxureF8iJ5wA8+fD9On8LGrIFaW62cDeXA3MuvfeEl+K9AfSLrwQevWC55+H7dt90jA6\nqEFXlMpiDCxeDNdfD+3a2U9qfvihOLxvX/j0U/joI/tCURSlRtnUpg0nAGfwECvYtzhgwQIYPhxa\ntYIrr7TPbQKiBl1RKsovv8Cdd0JaGvToAQ8/DH/9VRx++OEwezZ89hkce6x/eipKLWUax3MwbzIS\nyO3YsThg61Z4+mn73PbsCc88Awk0M17XcleU8igogCVLbGv79ddh4cLdZerUgRNPtBPgBg8G7VpX\nFF/JJ4WngMumTKF7YSE8+yy89lpxt/uiRfY3ciT06EHrLl3oD3xJHnlEdw326iJmWugicpWIZIjI\nDhH5WkQOL0f+OBFZJCJ5IvKLiAwLI/MPEVnm4lwiIidXJl0R+a+IrBaRXBH5SEQOrFpuY58pU6b4\nrUKVqJL+OTkwcyaMHg3HHw9NmthW9w03lDTmIrYF/swzsHYtzJgBp52mxjxh+MBvBaqBr/xWoIpU\nQxmIwBFHwMSJsHq1fV579CgODwTg229p+eKLzAFyOJ6P+Se3AA1//BHy4+cTuJgw6CJyLvAwcDvQ\nDVgCzBaR1FLk9wdmAB8DXYFHgYkiMsAj0xt4FZgAHAZMA6aKyMEVSVdEbgKuBkYARwDbnUy9ash6\nzFIrDHpurh3zfvttuP9+uPRS6NIFmjaFQYPgnntsqzw3t+R5PXrAQw9BZqYNHzECmjWriWwovjLb\nbwWqgfl+K1BFqrkMGje2z+vChbZ1PmoU/O1vJUTqs5N+LOReoPPFF0OjRpCWRvsbb+QO4By+pQsg\nBQXVq1s1ECtd7qOAZ4wxkwBE5ApgEHApMDaM/JXACmPMjc6dLiJ9XTwfOb9rgFnGmHHOfZsz+FcD\nIyuQ7v8BdxljZjiZoUAWcAbwRlUzrtQQgYA1uFlZdh/lrCz7y8iAX3+1v1WrIourXTvo3dsuAjNg\ngF0kRlGU+KZ7d/sDyMoi47nn+PjWWzmBVuyPZx/zwkJYvpy9ly/ndgCeBcD06WPfBW3bwr77QuvW\nsO++7LVjB92BVWxmHWCimCXfDbqI1AV6APcG/YwxRkTmAEeVclov7CY8XmYD4z3uo7Ct71CZ0yNN\nV0TaAy2h+EsIY8wWEVngZNSgR4Ix1sAWFtr/XbvsuPSuXSV/BQX2l59vl0rNyys+Dv7n5tqJLVu2\n2H/v8ZYtsHGjNdxbtlhDXFGSk+2nZ336FBvxffct/zxFUeK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sicBEamsX112RN3ZMRERyk9UVejTt63B3/zZpCti03P3cgkQmZaaxoW8aFici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\nGRvV++GHH3744UcATl4f+rTsI/QQwmpJrwGHAU8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cCHV1cPDB8PrrsPrqycYlIqmTT0I/mvDXtIoV5yN3QAldOlAlACcCu0XJfA69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\nkn+upCPws9oH4gfPzkoY85BnsqSTgRvDbxZwTMKYp1kvzrl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s+slPMnr06A7xVVdXt5WJSPGKSc73AT8xs38F/hSVHQl8hzB7GMAHgZd3PjwR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\nFyxHS1oWCj5xYgB+1snvgO349UIm4FtOyxVr1k6PVfjOFo2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_4_2 = trans_save(makeagents(1000,420),1000000, 0.25)\n", + "trial_5_2 = trans_save(makeagents(1000,420),1000000, 0.5)\n", + "trial_6_2 = trans_save(makeagents(1000,420),1000000, 0.9)\n", + "overlay_gauss(trial_4_2)\n", + "overlay_gauss(trial_5_2)\n", + "overlay_gauss(trial_6_2)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def agents_diff(N, money):\n", + " agents = np.zeros(N)\n", + " for i in range(len(agents)):\n", + " beta = random.uniform(0,1)\n", + " agents[i] = beta*money\n", + " return agents\n", + "\n", + "def tr_nearest(agent_array, tr_num,a):\n", + " people = copy.copy(agent_array)\n", + " current = 1\n", + " while current <= tr_num:\n", + " i,j = random.sample(range(0, len(agent_array)-1),2)\n", + " #print(i,j)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " #print(m_i,m_j)\n", + " total_m = m_i + m_j\n", + " diff = m_i-m_j\n", + " if diff==0:\n", + " diff = 1\n", + " abs_diff = abs(diff)\n", + " prob = 1/(abs_diff**(a))\n", + " user_set = random.uniform(0,1)\n", + " #print(prob)\n", + " current += 1\n", + " if prob>=user_set:\n", + " epsilon = random.uniform(0,1)\n", + " if people[i]>0 and people[j]>0:\n", + " people[i] = epsilon*total_m\n", + " people[j] = (1-epsilon)*total_m\n", + " else:\n", + " continue\n", + " else:\n", + " continue\n", + " \n", + " #print(total_money_begin, total_money_end)\n", + " \n", + " return people" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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aGxtpbGzstK21tbVK1UiSpIGs3OA9EnijZNt6Cs+Kp5QWR8QK4FDgMYCIGAXs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fcAnwVObVv+qLwV9+SI+G5ELEbE+RFxh4h4fERcGhEHIuKciJhoed+tIuIdEXFdRPw2Ir4WEQ9q\nWf68iLihbV9PjYjllukzIuJ7ETEbEVdExP6ImMtjJiLOBB4FvDyP8VBETK1TzmMi4qyI+GVE3BgR\n50bEcc0yAr8iS6q/nG/nkR0O2znAoyLibi3zTgN2ATe37ffYiPh0RPw6P04fjYg7brSM+ToREa+N\niMvz4/+9iHh6y/IfRcQr2/b7gPyY3KtDOaShZ+ItSZKkYfBMYD6l9COyhPL566x3BvBi4OHAFFmX\n7JcBzwKeAJwM/HnL+m8BTgGeAzwQ+DFwXkQc07JOWmM/7fPuDTw138cTyRLt1+TLXg58C3gfWWvz\nXYCr1on/Q8AJwJOAhwEBfDYijgC+AUzn807Jt/PNdbYDcB1wHvA8gIi4Ndlx/EC+DfL5AewGjgEe\nATwWuBfwkR7KCPC/gVnghcD9gJ3A2RHxiHz5B2hrgc+nv5JSurxDOaShZ+ItSZKkYXAacHb+/88D\nt12jtTcBf5lSuiCl9H3g/cAjgdNTShellL4BfAJ4DEBEbANOB/4ipfSFlNJlwH8Hfsv6if16Anhe\nSmk+38/ZwEkAKaVfAb8DFlNK16eUfp5SOiyZz1u2nww8P6X0zZTSD4Bnk93L/bSU0s3Az/PVb8i3\nc3P7dtqcyS3J7n8DfpxSuqhtnccC/wHYnlL6t5TSvwLPBR4dESdupIwRcSvgtcBpKaXzU0pXppTO\nIvuR5EX5+z8ITDd7FETEkcB2snqSRpqJtyRJkmotIqaBh5C3wKaUDpG1ZK+VHP+g5f/XkSW7P22b\n1+xCfW/gSFpajfNE9kJgpscwr0wpLbZM72vZz0bNADfl+2/G80tg7ybiafoscHT+I8WfsXaSe1/g\nqpTStS37nQf2t+23UxmPA7YBX8y7q/86In5N1pPg3vk29wHnkv2IAvAU4FZkP4ZII+3IqgOQJEmS\nung+cASwL+sVveJgRLw0pfTrlnk3tfw/tU035/XS+LRMS7fs3FFrrNfvfkqRUjoUEbuAN5D9ePHU\nPjbXqYy3yf99AnBt23oHW/7/j8BZEfEKsvv0P5pSWuojJmkoVP5lIEmSJK0nv7f5OcArgePbXteS\ndVXerJ+QJZN/3LK/I4EHA5fks64H/l1+f3TTAzexr9+R/XjQyTxZw9hDW+K5Pdl93ZduYp9NHyDr\ncv+pvNv7Wvs9tnUQtoi4H9k935essf5aLiVLsO+RUrq87XVNy3rnAjeS3Yf/X7CbucaELd6SJEmq\nsyeTJYAfaGvZJiI+CbwA+IfmrF42nFJajIj3AG/JRy6/CngVcGuyZBXg28Ai8DcR8Q6yAc+et4ly\nXAk8NCLuQfYor1+23+edUvpxROwG3hcRp+frvSmP69Ob2Gdzu5dFxGRejrWWnx8RFwPn5C3RRwHv\nAr6cUvreBvfxm4j4W2Bn/mPJ14Hbkf2ocSCldHa+3nJEfAj4G+CHKaUL192oNEJs8ZYkSVKdnQZ8\nsT3pzv0TcGJE3D+fXmv08W5ek2/nLOA7ZKN5n5xSOgCQUrqBbKTuxwMXkY0KfsYm9vO3wCGyluGf\nA8eus96pwB7gM2SjmC8DT8zva2/aSDnbk/obUkoH11tOdr/1DcBXgC+Qje7+rA3sp3UfrwN2kB3T\nS4HPkXU9v6Jt1feT3dv9AaQxEWsMqChJkiRJpcgfL/ZF4NiU0vVVxyMNgom3JEmSpNLljxy7I9lj\nxa5NKT232oikwbGruSRJkqRB2E52r/ttgVdXG4o0WLZ4S5IkSZJUIlu8JUmSJEkqkYm3JEmSJEkl\nMvGWJEmSJKlEJt6SJEmSJJXIxFuSJEmSpBKZeEuSJEmSVCITb0mSJEmSSmTiLUmSJElSiUy8JUmS\nJEkq0f8H5Jq7VeYEtGAAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize = (10,10))\n", + "\n", + "trial_7 = tr_nearest(agents_diff(500,1000),30000, 0.5)\n", + "trial_8 = tr_nearest(agents_diff(500,1000),30000, 1.0)\n", + "trial_9 = tr_nearest(agents_diff(500,1000),30000, 1.5)\n", + "trial_10 = tr_nearest(agents_diff(500,1000),30000, 2.0)\n", + "#trial_11 = tr_nearest(agents_diff(500,420),1000,0.7, 0)\n", + "ax1.hist(trial_7, bins=100, label='alpha=0.5')\n", + "ax1.set_title(\"Neartest Neighbor, N=500\")\n", + "ax1.legend(loc=\"upper right\")\n", + "ax2.hist(trial_8, bins=100, label='alpha=1.0')\n", + "ax2.legend(loc=\"upper right\")\n", + "ax3.hist(trial_9, bins=100, label='alpha=1.5')\n", + "ax3.legend(loc=\"upper right\")\n", + "ax4.hist(trial_10, bins=100, label='alpha=2.0')\n", + "ax4.legend(loc=\"upper right\")\n", + "plt.xlabel(\"Amount of Money\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kwkwcJElSYSYOkiSpMBMHSZJUmImDJEkqzMRBkiQVZuIgSZIKM3GQJEmFmThI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\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_check_1 = tr_nearest(agents_diff(500,1000),10000, 0)\n", + "plt.hist(trial_check_1, bins=100, label='alpha=0')\n", + "plt.legend(loc='upper right')\n", + "plt.title(\"Neartest Neighbor, N=500\")\n", + "plt.xlabel(\"Amount of Money\")" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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33XcPm/c//uM/2G+//Xj729/OWWedxX333ceJJ57In/70J84+++wGtro2DBwkaQIolUp5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\nETEjIr4eEfdGxF/yPBdFxKa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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_check_max = tr_nearest(agents_diff(500,1000),10000, 10)\n", + "plt.hist(trial_check_max, bins=100, label='alpha=10')\n", + "plt.legend(loc='upper right')\n", + "plt.title(\"Neartest Neighbor, N=500\")\n", + "plt.xlabel(\"Amount of Money\")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def tr_nearest_save(agent_array, tr_num,lmbda, a):\n", + " people = copy.copy(agent_array)\n", + " current = 1\n", + " while current <= tr_num:\n", + " i,j = random.sample(range(0, len(agent_array)-1),2)\n", + " #print(i,j)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " #print(m_i,m_j)\n", + " total_m = m_i + m_j\n", + " diff = m_i-m_j\n", + " if diff==0:\n", + " diff = 1\n", + " abs_diff = abs(diff)\n", + " prob = 1/(abs_diff**(a))\n", + " user_set = random.uniform(0,1)\n", + " #print(prob)\n", + " current += 1\n", + " if prob>=user_set:\n", + " epsilon = random.uniform(0,1)\n", + " if people[i]>0 and people[j]>0:\n", + " dm = (1-lmbda)*(epsilon*m_j-(1-epsilon)*m_i)\n", + " people[i] = m_i+dm\n", + " people[j] = m_j-dm\n", + " else:\n", + " continue\n", + " else:\n", + " continue\n", + " #print(total_money_begin, total_money_end)\n", + " \n", + " return people" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + ">" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Bqh6r+A5cscEL3cDAAG94wxtYsWIFRx99NPPmzWPWrFksXbqUgw46aEg8/f39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\njuGYY47htttuW3EdQ0ND/O3f/m1Dn1odsCSp2/IyLoFjU6v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SpJaMAZtyEEOW+6t1Y0s8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BxJB+bnL6R0xio//mVELB3hdZi15A6RmZmZ9YuTgTn5/uXA9k3OjgTw0Yi4NiJuBr4JHAScFhFL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\nmfWt/weQ7T6RC56jqQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_12 = tr_nearest_save(agents_diff(500,1000),30000,0.2,0.5)\n", + "trial_13 = tr_nearest_save(agents_diff(500,1000),30000,0.2,1.0)\n", + "trial_14 = tr_nearest_save(agents_diff(500,1000),30000,0.2,1.5)\n", + "trial_15 = tr_nearest_save(agents_diff(500,1000),30000,0.2,2.0)\n", + "\n", + "f, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize = (10,10))\n", + "\n", + "ax1.set_title(\"Neartest Neighbor at 20% Savings, N=500\")\n", + "ax1.hist(trial_12, bins=100, label='alpha=0.5')\n", + "ax1.legend(loc='upper right')\n", + "ax2.hist(trial_13, bins=100, label='alpha=1.0')\n", + "ax2.legend(loc='upper right')\n", + "ax3.hist(trial_14, bins=100, label='alpha=1.5')\n", + "ax3.legend(loc='upper right')\n", + "ax4.hist(trial_15, bins=100, label='alpha=2.0')\n", + "ax4.legend(loc='upper right')\n", + "plt.xlabel(\"Amount of Money\")\n", + "f.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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EmDFj+OUvfznsfX/wgx80oGYaCZ+qkKQma5eBoQYbWKheIqIl+9bb0qVL+cQnPsF1111H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\nTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_16 = tr_nearest(agents_diff(1000,1000),10000, 0.5)\n", + "trial_17 = tr_nearest(agents_diff(1000,1000),10000, 1.0)\n", + "trial_18 = tr_nearest(agents_diff(1000,1000),10000, 1.5)\n", + "trial_19 = tr_nearest(agents_diff(1000,1000),10000, 2.0)\n", + "#trial_11 = tr_nearest(agents_diff(500,420),1000,0.7, 0)\n", + "plt.hist(trial_16, bins=100, label='alpha=0.5')\n", + "#plt.hist(trial_11, bins=100, label='alpha=0')\n", + "plt.legend(loc=\"upper right\")\n", + "plt.title(\"Neartest Neighbor, N=1000\")\n", + "plt.xlabel(\"Amount of Money\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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IkqTCDBwkSVJhBg6SJKkwAwdJklSYeRzqqL29vdu/w0HpvgwktbKptxvPlNiS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\n3UT3v9m2suWez9axL3AhsCd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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(trial_17, bins=100, label='alpha=1.0')\n", + "plt.legend(loc=\"upper right\")\n", + "plt.title(\"Neartest Neighbor, N=1000\")\n", + "plt.xlabel(\"Amount of Money\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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eyXhrYqbqj0OGDGHmzJksX76c0aNH87vf/Y633nqL22+/PeuliWzGjBnDyJEj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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(trial_18, bins=100, label='alpha=1.5')\n", + "plt.hist(trial_19, bins=100, label='alpha=2.0')\n", + "plt.legend(loc=\"upper right\")\n", + "plt.title(\"Neartest Neighbor, N=1000\")\n", + "plt.xlabel(\"Amount of Money\")\n", + "plt.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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vc9xsvB++TcCD5o1VsAfvKjPZk/OHwHAzexBvMJbvnHMv4bXxDgee8JshVgFt8O7V/yXe\nia0A+K2ZnYv35fwS77a8G/FuJ3vH38YmvKrgfzOz7/C+zO8554pqKFdj7LN4/hPvVqwHzRs2+VO8\nKujQfqxP8PAF3m2VT+BVaU/Eu9q/PyLPrXiBxLtm9ke8NvQJeO3f9alyfglv8Js/4Y2i9yO86vlN\nMfmS/WxmA5cD/xevD8Z1kS9G1n7h3XJ4Nd4toH/AG1zo3/FOJPOrWX8o8J0TkfZ3vM6qi8xsNV6T\nwv+pZvmQ24EBZrYM744N8JofRuD19/iDn/bfePv6aTMLbTOfaj5359xaM9uEdyy2JfH+DbVyzu03\nbzjsOcBK8wbWOgG4Ae9YiizTf5nZdrzv5Q68YGo83rgHoWAQMwsCbzjnLiBJfq3DH/ACchfzWiXe\nCTtpZjYe7/sVCgiuMLMe/v9znHOh+WASOn6ccwEzmwo86u+zV/FGM70W7w6oyDFCXsA7xv5s3pgq\nZXhBYgq13IIqNWjOWzoOxwcRtxbGee1P/mvr4rz2c7zqyj3+43/wfuxOisiTi/cl2Y334/EE3r36\n8W4j3F1N+dLxgoRv/OUib1Vsg/dFXY9XjVeGd5K9EzjazzMY74r/K7z296/89fWK2c5QvD4TlbHl\na+J99mdgU8xyx/hl3oV35fJn4Cy8Woxf1rYf8X5YD0Q8z/HLOAnvR6rI338rgR/GWT5Ulfsd3kns\nr0BunG0cBI5J8Lhrizd2w1Z/vW/iVfG+Dqyox2ez0s8T9xEnf1/gZbxA7hu8/jfdqln3D/zP4NI4\nr/3M/zy/8Y+BtFre/yC8E/A6/zMN4FWtzwNOiJN3lb+fvsI7YQ2hmlsJgXv91z6tYR+tiHh+np9/\nWEy+0HHyq5j08Xh9Lcrx7sL5J7yg/v9F5Bntb+drDlWx34f/vfTzdPCP4WcSOF5WEv871cnffweJ\nuB2zPg//c6juGMqux/HzL8AGvN+hz4BfV5OvE17g+bW/3hXAaQ3x3o7Uh/k7VuSIZmY/x6sqPdsl\nOD+CSGPwm87+ASx1zo1NYrlL8WqGTnHe7akijSKpPg5mtsUODVUc+XgkIs895g3HWm5mr5nZSQ1f\nbJG6s6pDdKfgDc6zh/ijzIk0Cr/jaazr8WrFEuqoHGEwsEhBgzS2pGoczBsopU1E0o+A/wIGO+fe\nNrPb8doaf4VXXft7P09fV89evyINxcyewhv4ZTVex7er8Kqvpzj/FkCRpmDe/CEP4d0t8Q1ev4xR\neM00P3GtdwItOYzVq6nCv33nUudcb//5NuB+59xD/vOOeG3x1zvnGqxTkUh9mFke3nwTJ+F1YvwC\neNw590SzFkyOOGaWg9cvZyBeLcNOvI7HU1zM5FwiLUWdAwf/NqpteOPwz/R7t2/CG+98fUS+N4C1\nzrkqg4qIiIhI61KfcRx+gddbNTQz47F4t/DsiMm3g6r34YuIiEgrVJ9xHEYBL7uqQ88mxe83cRFe\nn4jY+QNERESkeml443+86qrOq9Mo6hQ4mFk23n3PP49I3o43iE8m0bUOmXhTCVfnIuAvNbwuIiIi\nNbsOb2bVRlfXGodReMHB30MJzpuYaDtwIf7IbX7nyDPwRoGrThHAM888Q9++fetYnCPTpEmTeOih\nh5q7GK2K9lndaL8lT/usbrTfklNYWEh+fj5UnVG10SQdOPiDk4wE5rvoOeTBG+v8LjP7Au9N3Is3\nkt3falhlAKBv3770798/2eIc0Tp16qR9liTts7rRfkue9lndaL/VWZM19delxmEI3kxpf459wTk3\ny58MaS7e2ORvA5doDAcREZHDQ9KBg3PuNaIHgYp9/W40eYiIiMhhSdNqi4iISMIUOLRieXl5zV2E\nVkf7rG6035KnfVY32m8tX7PPjmlm/YEPP/zwQ3WIEZHDSnFxMWVlGjla6qdr165kZ2fHfa2goIAB\nAwYADHDONckkffUZAEpERKpRXFxM3759KS8vb+6iSCuXnp5OYWFhtcFDU1PgICLSCMrKyigvL9cY\nNVIvoXEaysrKFDiIiBwJNEaNHG7UOVJEREQSpsBBREREEqbAQURERBKmwEFEREQSpsBBREQaxZtv\nvklKSgpvvfVWnZddtmxZI5RM6qNV3VURbzCVmgbGEBFpiVrKwFBN8fvpTajc9Ms2tG3btnHzzTfz\n2muvEQwGOf/883nooYc48cQTa132hhtuYMGCBVXS+/Tpw4YNGxqjuI2q1QQOxcXF5Ob2JRCIHkwl\nLS2djRtbzsAYIiI1qe63rDm09N/P5h7ZOOT7779n8ODB7N27l7vuuovU1FRmz57N4MGD+eijj+jc\nuXOt60hLS+OPf/xj1Hvq1KlTYxa70bSawKGsrMz/oj0DhAZTKSQQaFkDY4iI1CT+b1lz0O9noh57\n7DE2bdrE+++/Hx6T4+KLL+aHP/whDz74IL///e9rXUdqauphMw9HK+zj0Bfo7z80GpuItFaRv2XN\n8aj772dxcTHjxo2jT58+pKen07VrV4YPH86XX35Z67KDBw/mlFNOoaCggLPOOov09HR69uzJ3Llz\nq+Q1M4LBINOmTaNHjx60b9+eIUOGsGnTpqh877zzDsOHDycnJ4e0tDSys7O55ZZbCAQCdX6PkZYu\nXcrpp58eNZBXbm4uF154IUuWLEl4PcFgkL179zZImZpTq6lxEBGRluH999/n3XffJS8vj+7du1NU\nVMTjjz/O+eefz4YNG0hLS6t2WTNj586dXHbZZQwfPpxrr72WJUuWcOONN9KuXTtGjhwZzuuc4777\n7qNNmzbceuut7N69m5kzZ5Kfn8/q1avD+Z5//nkqKioYN24cXbp0Yc2aNTzyyCOUlJSwePHicL59\n+/YlfOLu0qVLuAzr16/nX/7lX6rkGThwIK+99hrff/89HTp0qHF95eXldOzYkfLycjp37kxeXh4z\nZ86sdbmWSIGDiIgkZejQoVx11VVRaZdffjmDBg1i6dKlXHfddTUuX1payuzZs5k4cSIAY8aM4Ywz\nzmDKlCmMGDGCNm3ahPNWVlaybt26cFpGRgY333wzGzZsoF+/fgDMmjWLdu3ahZcZPXo0vXr14s47\n72Tr1q10794dgEWLFnHDDTfU+v7MjIMHDwKwc+dOKisrOe6446rkC6Vt27aNk08+udr1ZWVlcdtt\nt9G/f3+CwSCvvPIKjz/+OOvXr+eNN94gJaV1Vf4rcBARkaREnqQPHDjAnj176NmzJxkZGRQUFNQa\nOKSmpjJmzJjw86OOOoqxY8cybtw4PvzwQwYOHBh+bdSoUVGBxDnnnINzjs2bN4cDh8jylJeXU1FR\nwZlnnkkwGGTt2rXhwOHiiy9m+fLlSb3XioqKKtsICdWshPJUZ9q0aVHPhw8fzsknn8xdd93FCy+8\nwPDhw5MqU3NT4CAiIkkJBAJMnz6d+fPnU1JSEr5TwMzYvXt3rctnZWXRvn37qLTevXvjnKOoqCgq\ncOjRo0dUvtAdDN9++2047auvvmLq1Km8+OKLUemx5cnMzCQzMzOJd0q4nJWVlVVeC/WhiH0viZg0\naRJTp05l+fLlChxEROTwNmHCBBYsWMCkSZMYNGgQnTp1wsy45pprCAaDDbqtyNqGSKFgJRgMMmTI\nEHbt2sWUKVPIzc2lQ4cOlJSUcP3110eVJxAIJBTYAOEA45hjjqFdu3aUlpZWyRNKy8rKSuo9gVdb\n0aVLF3bu3Jn0ss3tsAgcCgsLw/9rQCgRkca1dOlSRo4cyaxZs8JplZWV7Nq1K6Hlt23bRkVFRdSV\n+saNGzEzTjjhhKTK8vHHH/P555+zcOHCqCaSeE0SixcvTrqPg5nxox/9iA8++KBKvvfee4+ePXvW\nqYPjd999R1lZGd26dUt62ebWygOHUiCF/Pz8cEpLH9BERKS1a9OmTZWahTlz5oRPtrU5cOAATz75\nJJMmTQJg//79zJ07l27dujFgwICkywJUKc/DDz9cZeTJuvRxALj66quZMmUKBQUF4VsyN27cyOuv\nv85tt90WlXfz5s0A9OzZE/ACqv3793P00UdH5bvnnnsAuOSSS5IuT3Nr5YHDLiDIoYFUNKCJiLQW\nhbVnaaHbHzp0KAsXLqRjx47069eP1atXs2LFCrp27Volb7zRH7Oyspg1axZFRUX07t2b5557jvXr\n1/PUU09V2zRRnT59+tCrVy8mT57M1q1b6dixI0uXLo1b+1GXPg4A48aN46mnnuLSSy/l3//930lN\nTeWhhx7iuOOO45ZbbonKe8EFF5CSkhIOILZv385pp51GXl4effr0AeCVV17h5Zdf5tJLL+WKK65I\nujzNrZUHDiGhgVRERFq2rl27kpaWTiCQX3vmRpaWlh73ZF+bOXPmkJqayrPPPksgEODss89m+fLl\nXHTRRVWu8uPNN9G5c2cWLFjAhAkTmDdvHpmZmTz22GOMGjWq1mVj01NTU3nppZe46aabmDFjBmlp\naQwbNozx48dz6qmnJv3e4jn66KN58803mTRpEtOmTQvPVTF79uzweA+RZYssX0ZGBpdffjnLly/n\n6aef5uDBg5x00knMmDGDyZMnN0j5mtphEjiIiLQO2dnZbNxY2KonuerYsSPz5s2rkh66yg4577zz\nqm2+OO2001i1alW126hu2ZycnCrpubm5vPrqq1XyJtp0koisrKyowaSqs2XLlqjnnTp1ijvBVWum\nwEFEpIllZ2erOVVardY1XJWIiIg0KwUOIiLSpKrruyCtg5oqRESkyaxcubK5iyD1pBoHERERSZgC\nBxEREUmYAgcRERFJmAIHERERSVjSgYOZZZnZQjMrM7NyM1tnZv1j8txjZtv8118zs5MarsgiIiLS\nXJIKHMwsA1gFVAIX4Y31PBn4NiLP7cAEYAwwEPgeeNXM2jZQmUVERKSZJHs75m+AYufc6Ii0L2Py\nTATudc69BGBmvwJ2AD8HltS1oCIiItL8km2quBz4wMyWmNkOMysws3AQYWYnAscCK0Jpzrk9wHvA\nmQ1RYBERaR3efPNNUlJSeOutt+q87LJlyxqhZFIfydY49ARuBB4EpuE1Rcwxs0rn3EK8oMHh1TBE\n2uG/JiJyxCsuLm7Vk1wloz6jRLaUESY/++wznnjiCdasWUNBQQGVlZUUFRUlte8+/fRTbr75Zlat\nWkXbtm257LLLmD17dp1mJ21uyQYOKcAa59xU//k6M/sh8G/AwgYtmYjIYai4uJjcPrkEKgLNXRTS\n2qex8dONLXbCLedccxcBgNWrV/Poo4/Sr18/+vXrx0cffZTU8iUlJZxzzjl07tyZGTNmsHfvXu6/\n/34++eQT1qxZQ2pq6xrEOdnSlgKFMWmFwDD//+2AAZlE1zpkAmtrWvGkSZPo1KlTVFpeXh55eXlJ\nFlFEpOUqKyvzgoZhQHNebJZBYFmAsrKyFhs4tBRXXnklV199NR06dODBBx9MOnCYNm0aFRUVfPTR\nRxx//PEAnH766fz0pz9l/vz5jB49upY1eBYtWsSiRYui0nbv3p1UWRpCsoHDKiA3Ji0Xv4Okc26L\nmW0HLgTWA5hZR+AM4LGaVvzQQw/Rv3//mrKIiBw+ugJZzV2IuikuLmbGjBm8/vrrFBcXk56ezgUX\nXMD9999PTk5OjcsOHjyYnTt3Mn/+fH7961+zdu1ajj32WG6//XbGjh0bldfMCAaDTJs2jSeffJKy\nsjLOOuss5s6dS69evcL53nnnHebMmcN7773Hjh07+MEPfsDVV1/N9OnTSUtLq/f7zcjIqNfyy5Yt\nY+jQoeGgAeDCCy+kd+/eLFmyJOHAId7FdEFBAQMGDKhX+ZKVbODwELDKzKbg3SFxBjAa+NeIPA8D\nd5nZF0ARcC+wFfhbvUsrIiLN7v333+fdd98lLy+P7t27U1RUxOOPP87555/Phg0bajxZmxk7d+7k\nsssuY/jw4Vx77bUsWbKEG2+8kXbt2jFy5MhwXucc9913H23atOHWW29l9+7dzJw5k/z8fFavXh3O\n9/zzz1NRUcG4cePo0qULa9as4ZFHHqGkpITFixeH8+3bt4+9e/cm9B67dOmS/I6JY9u2bXz99df8\n5Cc/qfLawIEDefnllxtkO00pqcDBOfeBmf0CmAFMBbYAE51zz0XkmWVm6cBcIAN4G7jEObev4Yot\nIiLNZej0+fZzAAAgAElEQVTQoVx11VVRaZdffjmDBg1i6dKlXHfddTUuX1payuzZs5k4cSIAY8aM\n4YwzzmDKlCmMGDGCNm3ahPNWVlaybt26cFpGRgY333wzGzZsoF+/fgDMmjWLdu3ahZcZPXo0vXr1\n4s4772Tr1q10794d8Kr6b7jhhlrfn5lx8ODBBPZE7UpLSwE47rjjqrx23HHHsXPnTvbv389RRx3V\nINtrCkn3yHDO/R34ey157gburluRRESkJYs8SR84cIA9e/bQs2dPMjIyKCgoqDVwSE1NZcyYMeHn\nRx11FGPHjmXcuHF8+OGHDBw4MPzaqFGjogKJc845B+ccmzdvDgcOkeUpLy+noqKCM888k2AwyNq1\na8OBw8UXX8zy5cvr9+aTVFFRUaWMIaGamYqKisM7cBARkSNbIBBg+vTpzJ8/n5KSkvDdD2aWUGe9\nrKws2rdvH5XWu3dvnHMUFRVFBQ49evSIyte5c2cAvv02PGAxX331FVOnTuXFF1+MSo8tT2ZmJpmZ\nmUm80/oLvc/KysoqrwUCgag8rYUCBxERScqECRNYsGABkyZNYtCgQXTq1Akz45prriEYDDbotiJr\nGyKFgpVgMMiQIUPYtWsXU6ZMITc3lw4dOlBSUsL1118fVZ5AIJDwXQgNFWCEmihCTRaRSktLOeaY\nY1pVbQMocBARkSQtXbqUkSNHMmvWrHBaZWUlu3btSmj5bdu2UVFREXWlvXHjRsyME044IamyfPzx\nx3z++ecsXLgwqokkXpPE4sWLm7yPQ1ZWFt26deODDz6o8tqaNWv48Y9/3CDbaUoKHEREJClt2rSp\nUrMwZ86chE+2Bw4c4Mknn2TSpEkA7N+/n7lz59KtW7ekby0M1UjElufhhx+uMvJkU/Rx2Lx5MwA9\ne/YMp1111VU8/fTTlJSUhG/JXLFiBZ999hmTJ09u1PI0BgUOIiKSlKFDh7Jw4UI6duxIv379WL16\nNStWrIg7fHK80R+zsrKYNWsWRUVF9O7dm+eee47169fz1FNPVds0UZ0+ffrQq1cvJk+ezNatW+nY\nsSNLly6NW/tR1z4Oe/bsYc6cOZgZq1atwjnHI488QkZGBhkZGYwfPz6c94ILLiAlJSUcQADccccd\nvPDCCwwePJiJEyeyd+9eHnjgAU499dSo209bCwUOIiLNobmnqqjH9ufMmUNqairPPvssgUCAs88+\nm+XLl3PRRRdVucqPN99E586dWbBgARMmTGDevHlkZmby2GOPMWrUqFqXjU1PTU3lpZde4qabbmLG\njBmkpaUxbNgwxo8fz6mnnlr3Nxnh22+/5be//W14u2bG7NmzAcjJyYkKHMysSrm7d+/Om2++yS23\n3MKUKVNo27YtQ4cO5YEHHmh1/RtAgYOISJPq2rUrae3TCCxrGXNV1GWSpY4dOzJv3rwq6ZFX2QDn\nnXdetc0Xp512GqtWrap2G9Utm5OTUyU9NzeXV199tUrehuqnkJOTk3Cnzy1btsRN79u3b6sc7Cke\nBQ4iIk0oOzubjZ9uPGJmx5TDjwIHEZEmlp2drRO2tFopzV0AERE5slTXd0FaB9U4iIhIk1m5cmVz\nF0HqSTUOIiIikjAFDiIiIpIwBQ4iIiKSMAUOIiIikjAFDiIiIpIwBQ4iIiKSMAUOIiIikjAFDiIi\nIpIwDQAlItLEiouLj4i5Kt58803OP/983njjDc4999w6LfvCCy8wbNiwRiqh1EWLDhwiv1yFhYXN\nXBoRkforLi6mb24u5YHmnx0zPS2Nwo0bGzV4qM/w0i1laOrPPvuMJ554gjVr1lBQUEBlZSVFRUUJ\n77cbbriBBQsWVEnv06cPGzZsaOjiNroWGzgUFxeTm9uXQKC8uYsiItJgysrKKA8EeAbo24zlKATy\nAwHKyspa7IRbzrnmLgIAq1ev5tFHH6Vfv37069ePjz76KOl1pKWl8cc//jHqPXXq1Kkhi9lkWmzg\nUFZW5gcNoa/X34GpzVsoEZEG0hfo39yFkIRceeWVXH311XTo0IEHH3ywToFDamoqeXl5jVC6ptcK\nOkeGvl4nNndBREQEr0Z43Lhx9OnTh/T0dLp27crw4cP58ssva1128ODBnHLKKRQUFHDWWWeRnp5O\nz549mTt3bpW8ZkYwGGTatGn06NGD9u3bM2TIEDZt2hSV75133mH48OHk5OSQlpZGdnY2t9xyC4EG\nag7KyMigQ4cO9V5PMBhk7969DVCi5tViaxxERKRlev/993n33XfJy8uje/fuFBUV8fjjj3P++eez\nYcMG0tLSql3WzNi5cyeXXXYZw4cP59prr2XJkiXceOONtGvXjpEjR4bzOue47777aNOmDbfeeiu7\nd+9m5syZ5Ofns3r16nC+559/noqKCsaNG0eXLl1Ys2YNjzzyCCUlJSxevDicb9++fQmfuLt06ZL8\njqlBeXk5HTt2pLy8nM6dO5OXl8fMmTMbJCBpagocREQkKUOHDuWqq66KSrv88ssZNGgQS5cu5brr\nrqtx+dLSUmbPns3EiRMBGDNmDGeccQZTpkxhxIgRtGnTJpy3srKSdevWhdMyMjK4+eab2bBhA/36\n9QNg1qxZtGvXLrzM6NGj6dWrF3feeSdbt26le/fuACxatIgbbrih1vdnZhw8eDCBPZGYrKwsbrvt\nNvr3708wGOSVV17h8ccfZ/369bzxxhukpLSCyv8IChxERCQpkSfpAwcOsGfPHnr27ElGRgYFBQW1\nBg6pqamMGTMm/Pyoo45i7NixjBs3jg8//JCBAweGXxs1alRUIHHOOefgnGPz5s3hwCGyPOXl5VRU\nVHDmmWcSDAZZu3ZtOHC4+OKLWb58ef3efB1MmzYt6vnw4cM5+eSTueuuu3jhhRcYPnx4k5epPhQ4\niIhIUgKBANOnT2f+/PmUlJSE7xQwM3bv3l3r8llZWbRv3z4qrXfv3jjnKCoqigocevToEZWvc+fO\nAHz77bfhtK+++oqpU6fy4osvRqXHliczM5PMzMwk3mnjmTRpElOnTmX58uUKHERE5PA2YcIEFixY\nwKRJkxg0aBCdOnXCzLjmmmsIBoMNuq3I2oZIoWAlGAwyZMgQdu3axZQpU8jNzaVDhw6UlJRw/fXX\nR5UnEAgkFNgAjR5gpKWl0aVLF3bu3Nmo22kMChxERCQpS5cuZeTIkcyaNSucVllZya5duxJaftu2\nbVRUVETVOmzcuBEz44QTTkiqLB9//DGff/45CxcujGoiidcksXjx4mbp4xDPd999R1lZGd26dWvU\n7TQGBQ4iIpKUNm3aVKlZmDNnTsIn2wMHDvDkk08yadIkAPbv38/cuXPp1q0bAwYMSLosQJXyPPzw\nw1VGnmyKPg6bN28GoGfPnoAXUO3fv5+jjz46Kt8999wDwCWXXNKo5WkMChxERJpBcw+iX5/tDx06\nlIULF9KxY0f69evH6tWrWbFiBV27dq2SN97oj1lZWcyaNYuioiJ69+7Nc889x/r163nqqaeqbZqo\nTp8+fejVqxeTJ09m69atdOzYkaVLl8at/ahrH4c9e/YwZ84czIxVq1bhnOORRx4hIyODjIwMxo8f\nH857wQUXkJKSEg4gtm/fzmmnnUZeXh59+vQB4JVXXuHll1/m0ksv5Yorrki6PM1NgYOISBPq2rUr\n6Wlp5LeQuSrinexrM2fOHFJTU3n22WcJBAKcffbZLF++nIsuuqjKVX68+SY6d+7MggULmDBhAvPm\nzSMzM5PHHnuMUaNG1bpsbHpqaiovvfQSN910EzNmzCAtLY1hw4Yxfvx4Tj311KTfWzzffvstv/3t\nb8PbNTNmz54NQE5OTlTgYGZR5cvIyODyyy9n+fLlPP300xw8eJCTTjqJGTNmMHny5AYpX1NT4CAi\n0oSys7Mp3LixVc+O2bFjR+bNm1clPXSVHXLeeedV23xx2mmnsWrVqmq3Ud2yOTk5VdJzc3N59dVX\nq+RtqH4KOTk5CXf63LJlS9TzTp06xZ3gqjVLKnAws98Bv4tJ/tQ51y8izz3AaCADWAXc6Jz7Ipnt\nFBcXR8yGWQgkHxGLiLRU2dnZLXZiKZHa1KXG4RPgQiBUF3Mg9IKZ3Q5MAH4FFAG/B141s77OuX2J\nrLy4uJjcPrkEKkLVePlgaeBm1KGoIiIi0pDqEjgccM79o5rXJgL3OudeAjCzXwE7gJ8DSxJZeVlZ\nmRc0DMOraCgDlgWA1j8xiIiIVN93QVqHugQOJ5tZCRAAVgNTnHNfmdmJwLHAilBG59weM3sPOJME\nA4ewrkBWHUonIiIt1sqVK5u7CFJPyc6s8S4wErgI+De8ua7fMrMOeEGDw6thiLTDf01ERERauaRq\nHJxzkd1WPzGzNcCXwHDg0/oUZNKkSXTq1OnQcKCvAKcDDTuzqYiISKu0aNEiFi1aFJWW6BDaDale\nt2M653ab2WfAScAbeB0mM4mudcgE1ta2roceeoj+/ftTUFDgjRx2MV5Txbb6lFBEROTwkJeXR15e\nXlRa+JzZhOo1CbiZHY0XNGxzzm0BtuPdcRF6vSNwBvDf9dmOiIiItAzJjuNwP/AiXvPE8cB/APuB\n5/wsDwN3mdkXeLdj3gtsBf7WQOUVERGRZpRsU0V34Fm8ngf/AN4BBjnnvgFwzs0ys3RgLt4AUG8D\nlyQ6hoOIiIi0bMl2jsxLIM/dwN11LI+IiIi0YPXq4yAiIlKdN998k5SUFN566606L7ts2bJGKJnU\nhya5EhFpYsXFxa16kqtk1GeUyJYywuSyZctYsmQJ77//Ptu3b6dHjx4MHTqUqVOn0qlTp4TW8emn\nn3LzzTezatUq2rZty2WXXcbs2bPrNDtpc1PgICLShIqLi8nt25dAeXlzF4W09HQ2Fha22Am3nHPN\nXQQAxo4dy/HHH8+IESPIzs7m448/5tFHH+Xll1+moKCAdu3a1bh8SUkJ55xzDp07d2bGjBns3buX\n+++/n08++YQ1a9aQmtq6TsWtq7QiIq1cWVmZFzTccQfk5DRfQb78ksD06ZSVlbXYwKGlWLp0Keee\ne25UWv/+/bn++uv5y1/+wqhRo2pcftq0aVRUVPDRRx9x/PHHA3D66afz05/+lPnz5zN69OhGK3tj\nUB8HEZHmkJMDvXs336MeQUtxcTHjxo2jT58+pKen07VrV4YPH86XX35Z67KDBw/mlFNOoaCggLPO\nOov09HR69uzJ3Llzq+Q1M4LBINOmTaNHjx60b9+eIUOGsGnTpqh877zzDsOHDycnJ4e0tDSys7O5\n5ZZbCAQCVdZZF7FBA8AvfvELAAoLC2tdftmyZQwdOjQcNABceOGF9O7dmyVLkpvGqSVQjYOIiCTl\n/fff59133yUvL4/u3btTVFTE448/zvnnn8+GDRtIS0urdlkzY+fOnVx22WUMHz6ca6+9liVLlnDj\njTfSrl07Ro4cGc7rnOO+++6jTZs23HrrrezevZuZM2eSn5/P6tWrw/mef/55KioqGDduHF26dGHN\nmjU88sgjlJSUsHjx4nC+ffv2sXdvYjMtd+lS83wHpaWlALX2Udi2bRtff/01P/nJT6q8NnDgQF5+\n+eWEytOSKHAQEZGkDB06lKuuuioq7fLLL2fQoEEsXbqU6667rsblS0tLmT17NhMnTgRgzJgxnHHG\nGUyZMoURI0bQpk2bcN7KykrWrVsXTsvIyODmm29mw4YN9OvXD4BZs2ZF9TMYPXo0vXr14s4772Tr\n1q10794d8OZ6uOGGG2p9f2bGwYMHa8wzc+ZMUlNTufrqq2t9rwDHHXdcldeOO+44du7cyf79+znq\nqKNqLVdLocBBRESSEnmSPnDgAHv27KFnz55kZGRQUFBQa+CQmprKmDFjws+POuooxo4dy7hx4/jw\nww8ZOHBg+LVRo0ZFBRLnnHMOzjk2b94cDhwiy1NeXk5FRQVnnnkmwWCQtWvXhgOHiy++mOXLl9fv\nzQPPPvssf/rTn/jNb35Dr169asxbUVFRpYwhoZqZiooKBQ4iInL4CgQCTJ8+nfnz51NSUhK++8HM\nEpqtMSsri/bt20el9e7dG+ccRUVFUYFDjx49ovJ17twZgG+//Tac9tVXXzF16lRefPHFqPTY8mRm\nZpKZmZnEO63q7bffZvTo0VxyySX8/ve/rzV/6H1WVlZWeS3UByN2X7R0ChxERCQpEyZMYMGCBUya\nNIlBgwbRqVMnzIxrrrmGYDDYoNuKrG2IFApWgsEgQ4YMYdeuXUyZMoXc3Fw6dOhASUkJ119/fVR5\nAoFAwtNQxwsw1q1bx5VXXskpp5zC888/T0pK7fcXhJooQk0WkUpLSznmmGNaVW0DKHAQEZEkLV26\nlJEjRzJr1qxwWmVlJbt27Upo+W3btlFRURF1pb1x40bMjBNOOCGpsnz88cd8/vnnLFy4MKqJJF6T\nxOLFi+vcx2HTpk1cfPHFHHvssfz9738nPT09ofJlZWXRrVs3PvjggyqvrVmzhh//+McJraclUeAg\nIiJJadOmTZWahTlz5tTaoTDkwIEDPPnkk0yaNAmA/fv3M3fuXLp168aAAQOSLgtQpTwPP/xwlZEn\n69rHYceOHfzsZz8jNTWVV155hWOOOabavJs3bwagZ8+e4bSrrrqKp59+mpKSkvAtmStWrOCzzz5j\n8uTJSZenuSlwEBFpDgmMedBStz906FAWLlxIx44d6devH6tXr2bFihVxb02MN/pjVlYWs2bNoqio\niN69e/Pcc8+xfv16nnrqqWqbJqrTp08fevXqxeTJk9m6dSsdO3Zk6dKlcWs/6trH4aKLLqKoqIjb\nbruNt99+u8o6hwwZEn5+wQUXkJKSEg4gAO644w5eeOEFBg8ezMSJE9m7dy8PPPAAp556atTtp62F\nAgcRkSbUtWtX0tLTCUyf3txFIc0fvClZc+bMITU1lWeffZZAIMDZZ5/N8uXLueiii6pc5cebb6Jz\n584sWLCACRMmMG/ePDIzM3nssceqjMBY3VwVkempqam89NJL3HTTTcyYMYO0tDSGDRvG+PHjOfXU\nU5N+b/F8/PHHAFFNMyHnnXdeVOBgZlXK3b17d958801uueUWpkyZQtu2bRk6dCgPPPBAq+vfAAoc\nRESaVHZ2NhsLC1v1JFcdO3Zk3rx5VdIjr7LBO6lW13xx2mmnsWrVqmq3Ud2yOTk5VdJzc3N59dVX\nq+RNtOmkNsmsZ8uWLXHT+/bt2yoHe4qnxQQOd999NxUVFezZs6fe64odAjT2yxE7M11TzBAnIhKS\nnZ2t3xxptVpM4PD6iy/SFqhf2FAKpJCfnx+VmpaWzsaN3gxwxcXF5Ob2JRAoj/u6iIiIVK/FTHL1\nR2An8E/1KtIuIAg8A3zoP54hECgP1zCUlZX5QcMzcV8XEZHGVV3fBWkdWkyNQ8PqC/RvgDwiItKQ\nVq5c2dxFkHpqMTUOIiIi0vIpcBAREZGEKXAQERGRhClwEBERkYQdpp0jRURahthxZUSS0RKPHwUO\nIiKNoGvXrqSnp1cZV0YkWel1HBq8sShwEBFpBNnZ2RS2kKGlpXVraaMbK3AQEWkkGlpaDkfqHCki\nIiIJU+AgIiIiCTvMAodQW2IhUNycBRERETksHUZ9HIpJ4VaCAOSTQhpBNjZzmURERA4vh1HgUEaQ\n/TzjP8snwKEaCBEREWkIh1Hg4Onb3AUQERE5jNWrj4OZ/cbMgmY2Oyb9HjPbZmblZvaamZ1Uv2LW\nVSlefwcoLS1tniKIiIgcRuocOJjZ6cAYYF1M+u3ABP+1gcD3wKtm1rYe5ayjYYA3atuwq4ZRXKwO\nkyIiIvVRp8DBzI4GngFGA7tiXp4I3Ouce8k59wnwKyAL+Hl9Clo3+7zYYRjsq9ynEdxERETqqa41\nDo8BLzrnXo9MNLMTgWOBFaE059we4D3gzLoWsl66+g8RERGpt6Q7R5rZPwM/Bn4S5+VjAQfsiEnf\n4b9WD9v8v+qrICIi0lySChzMrDvwMDDEObe/IQtyP/AX4H/8kRh4BTgdaAcY4J7wCzEM3OeAxn8X\nEZEjx6JFi1i0aFFU2u7du5u8HMnWOAwAugEFZmZ+WhvgXDObAPTBO81nEl3rkAmsrWnFtwLXAOeS\nwtsE4WK8nhHr8eowhvkZl+3DG59BgYOIiBw58vLyyMvLi0orKChgwIABTVqOZPs4LAd+hNdUcar/\n+ACvo+SpzrnNwHbgwtACZtYROAP473qVVH0VREREml1SNQ7Oue+BDZFpZvY98I1zrtBPehi4y8y+\nAIqAe4GtwN/qXVoRERFpVg0xcqSLeuLcLDNLB+YCGcDbwCXOuX2JrS7YAEWKr7CwsPZMIiIiUq16\nBw7OuQvipN0N3F3fdTe0/Pz85i6CiIhIq3aYTatdm2fwWk5ERESkLg67Sa5qpimwRERE6uMIq3EQ\nERGR+jiMAgeNKCkiItLYDqPAIXauLREREWloh1HgICIiIo1NgYOIiIgkTIGDiIiIJEyBg4iIiCRM\ngYOIiIgkTIGDiIiIJEyBg4iIiCRMgYOIiIgkTIGDiIiIJEyBg4iIiCRMgYOIiIgkrMVNqx0I/VMG\npFeXq9D/u6XRylFcXExZWVn4edeuXcnOzm607YmIiLQGLSpwKAY+SEmBYBCWAW1T4ILgoQzfAQa4\n/ENpBriGnRmzuLiY3Ny+BALl4bS0tHQ2bixU8CAiIke0FtVUUQa4YBDuuMN77AtCZUSGAOCAYcAY\n/6+Dhp4Zs6yszA8angE+BJ4hECiPqoEQERE5ErWoGoewnJyaX+8KZDVFQfoC/ZtiQyIiIq1Cywwc\nDjPqLyEiIocLBQ6NrLi4mNw+uQQqwt0+SWufxsZPNyp4EBGRVqdF9XE4HJWVlXlBQ0S/jEBFQP0l\nRESkVVKNQ1Npsn4ZIiIijUeBQxIKCwujnquvgoiIHGkUOCSkFEghPz8/KlVjO4iIyJFGfRwSsgsI\ncmhcB43tICIiRybVOCRF4zqIiMiRTTUOIiIikrCWX+MQGv6gDPi2IVdcGPO3/uIN9CQiInI4afGB\ng73rT0exzHueAgS/q88ay7x1cKijYwpQWlq/ibKqmxjrhReW1Gu9IiIiLUmLb6pwLnKqKa+L4qG5\nt+tib1Q3x9A6d+2q30RZ1U2MVd/1ioiItCQtvsYBGqdLYuN1c1QHShEROXwlVeNgZv9mZuvMbLf/\n+G8zuzgmzz1mts3Mys3sNTM7qWGLLCIiIs0l2aaKr4Db8S6pBwCvA38zs74AZnY7MAFvVoaBwPfA\nq2bWtsFKLCIiIs0mqcDBOff/nHOvOOc2Oee+cM7dBXwHDPKzTATudc695Jz7BPgV3gwNP2/QUouI\niEizqHPnSDNLMbN/BtKB/zazE4FjgRWhPM65PcB7wJn1LaiIiIg0v6Q7R5rZD4HVQBqwF/iFc26j\nmZ2Jd+fkjphFduAFFCIiItLK1eWuik+BU4FOwNXA02Z2boOWKmlb6r2GtWvXhv9PbP4Jb9yH0IyZ\nyY4DEVpOM2yKiEhrknTg4Jw7AGz2n641s4F4fRtmAQZkEl3rkAmspRb3Ax1CTx57LLHCfOdv0U1N\nLH8NHnzoIQgGvScptbXgFJPCMIIQnjGzfdvk+n+GltMMmyIikohFixaxaNGiqLTdu3c3eTkaYhyH\nFKCdc26LmW0HLgTWA5hZR+AMoNZI4FbgZLxbNRg/3kscO7bmhQJ4jSPDgGLggzqV3xMMwh13eP9P\nn15L5jKC7OMZvFEbCoH8ffuS3OAzAAQC+ZSVlSlwEBGRGuXl5ZGXlxeVVlBQwIABA5q0HEkFDmY2\nHXgZ7zT9v4DrgPOAn/lZHgbuMrMvgCLgXmAr8LcGKm98XWmYeSxycpLKXr+hnvrWeUkREZHmkmyN\nww+ABcBxwG68moWfOedeB3DOzTKzdGAukAG8DVzinEv2crxm3wLbgG/852V43TRr9XdgXYMWRURE\n5EiSVODgnBudQJ67gbvrWJ4aleJPcrUSWOn/D+EJsKq1I5S3/n0hREREjmQtfpKrSLsgPEHVvRH/\nf+g/r9ae6OVERESkblrFJFex+sb83x+vg2Iyy4mIiEjyWlWNg4iIiDSvVlnj0HQKgUoODTCV3CBP\nIiIihxsFDjXKP9QBE8CGgfu8GcsjIiLSvNRUUY1n/EcQ4Hy8QabcPrx7P0VERI5MqnGoRlRHys54\ng0yJiIgc4RQ4tEDFxcVRE21VVlbSrl278HNNjCUiIs1FgUMLU1xcTG5uXwKB8ojUNsDB8DNNjCUi\nIs1FfRxamLKyMj9oiBza6mDE82cIBMoTnPpbRESkYanGocWKHdqqflNqiYiINIRWEzgUc2g0hcNN\nYWFh3P9rUlpaSkFBAaA+DyIi0nRaReBQCpyVkkIgGISUFEqDwVqXaR28abvy8/OTXvKXw4ZRsc+b\ndDQ9LY3CjRsVPIiISKNrFX0cdoEXNIwYAcEgu5q7QA0mctquD0lguq6win37wmNNlAcC6vMgIiJN\nolXUOIRlZjZ3CRpJZP+FxJoqQkuJiIg0pVZR4yAiIiItQ4upcfiXlBQvimno/gtlwN7kFysEMhq2\nJCIiIq1eiwkcvv/Zz+DTT6GoqN7r8roc+vNMLKs9rwEulLBzJ6SkkB8M0jYlpeEDGRERkVas5TRV\nXHghNNBdAbFdDmvqbriLiKAB4LvvvGBhxAj2KWgQERGJ0nICh0YQ6nJ4Yl0WPmw7YoqIiNRdi2mq\naNG+be4CxKd+GCIi0tQUONTCALfS+9/rN1EKHNeMJSoFv+9FPqgfhoiINKnDuqmiITgID7TknZ6b\ne/ipXV6gcMcdcMcd6ochIiJNSjUOCWiRAy3l5DR3CURE5AikGgcRERFJmGocGlxoyOjSZi2FiIhI\nY1Dg0OD8mS6tbcwAESIiIq2fAoeGdD5wMt4w18v2NXNhREREGp4Ch4bUGchq7kKIiIg0nlYZOGxp\n6Vv/LiL3lkRKWwh0BRpmyG0REZHG0roChz17ICWFqaGxC1JSKG2icQwOTZw1teaMuyBlcWjMB5g6\ndZXoA34AACAASURBVKq33HfxMpf5gznlQ0o6BAvjZRIREWkxWtftmBUVUYMfEQw22XBMkRNn1TRp\nFuUQPHhogq3wwFGBeJn3hifUIliO1zlCRESk5WpdNQ4hzTj4UaKDQYUm2EqIJtQSEZFWIqkaBzOb\nYmZrzGyPme0ws7+aWe84+e4xs21mVm5mr5nZSQ1XZBEREWkuyTZVnAM8ApwBDAGOAv7LzNqHMpjZ\n7cAEYAwwEPgeeNXM2jZIiZNQChTQ3J0pm1dxcTEFBQUUFBRQXFzc3MUREZFWLqmmCufcpZHPzWwk\n8DUwAHjHT54I3Ouce8nP8ytgB/BzYEk9y5uUYSkphyaBasKOlC1FcXExfXNzKQ94HSzS09Io3LiR\n7GzdvSEiInVT386RGXjjI+4EMLMTgWOBFaEMzrk9wHvAmfXcVtL2NVNHypairKyM8kAgPLtneSBA\nWZk6YIqISN3VuXOkmRnwMPCOc26Dn3wsXiCxIyb7Dv+1pqdZJFvm7J4iItIq1eeuiseBfsBZDVSW\nOtmC148hdB1dSvV9GmLTi2vIWyff1vLaNqIGh6pdZAkbftKs4uLiqBqIyspK2rVrF5Wna9euDda0\nEbm9hlyviIg0nToFDmb2KHApcI5zLvKMth0wIJPoWodMYG2NK/3zn2H7du//xx6rvRA7d4YHg5oK\nHJWSAsFgdL+GOHkBSElhXTDIuJQUAg3Q7yE8ONTKWl5bCSltDg0OVeta7Sxw/gAQNgzc5/Uua0hx\ncTG5fXIJVEQMMGFUmZgrLS2djRsL632SV38LEZH6WbRoEYsWLYpK2717d5OXI+nAwQ8argTOc85F\nddN3zm0xs+3AhcB6P39HvLswao4GbrgBXnwR3noLxo/30saOrT7/d98dGgwK2D99OhDRr2H7dvjT\nn+LmZfp0SsALGmLz1kHk4FBbIGpsycjXAPIPJrFWF4Bh/tNl+2jIAaLKysq8oGEY3mjXZcAy8Ia3\nCvWBLSQQyKesrKzeJ/jI/hYA+X5/CwUOIiKJycvLIy8vLyqtoKCAAQMGNGk5kgoczOxxIA+4Avje\nzEIjF+12LnRpzMPAXWb2BVCEdybaCvytQUocK14fhpwcMKtf3jqoqS9BnfsZdK3rgkmsP2pirhNJ\nYuiqpKm/hYhI65ZsjcO/4VVmvxGTfgPwNIBzbpaZpQNz8e66eBu4xDnXaueZLqTu1/qRfS+OS2pJ\nv2/Dd8DRddx4HIWF3nwYb7/99qH1N5NQWSC6z4P6QoiItFzJjuOQ0O2bzrm7gbvrUJ668fsw0JDj\nNPgTahEMks+hPhTJKAZujeh7sSyh5UMTX/kNHs+nwC8b7n3l5+d7/6SkHFr/+KYd3yLU7yNcFg71\neQDUF0JEpAVrXZNcVSfUh+HSS2vPm6iYCbX21yEoKQNvuREj2JfwOBJ7oyfy2h+sZoKsuroXeObQ\n5Fr7g1DekOuvXWS/j9BEYKExJjT2hIhIy9Y6J7mqTpcuDb/OhhgHoi6TWDXa+BMnEu5p0MyTa9U0\nEZj6QoiItEyHR42DiIiINInDq8YhCdvquFx9OkrWWXhgqboNAlVYe5aEqNOiiIgceYGD35HyiWT6\nLER0vqxrR8k6CW13ZWjgqqshOCPhxUtLSyElhfyIga8I1i3sKS4uJrdvXwLlXoeItPR0NhbWf2Ao\nERFpXY68poq6dKSMHECqjh0l6yRmuwQDwN6EF9+1a1fM8sGklo9UVlbmBQ3+ugLl5eq0KCJyBDry\nahxC6tKRsrkmzKrvdhuy3Jo0TETkiPb/27v/ODnqOs/jr09jkiHsIkgWgrfIEbmN8QEPlwPFoPwS\nz13jrazRB8ptQIk+9uGvPcOewi53c7jmHgur7qLewqyngCKYk81ykD1HImDOG0iEw7BxhSaJTnAw\nabIZk0mCk5lJ0t/741s1U11T3V3dU93VmX4/H49+THVVddW3vhTpb3/7059P9w4cWqBII0WzikyP\ntCglrMvaLqZFPQwDPS0+bQrRhFAiItKZNHDIwDBMiyUolct1MkWumLbGWI6jRQk2J+M0+oC+ym0P\nNFJ8K3tJCaFERKQzdV+MQwschGmxBHWTPS0HLq9c5ZhgdUtaSGW8xMqVFZtWA+XUxbeyF00I1bLr\nFxGRTGjGIUuNfP9fpXjVWdm0pLqEol4tP2dKSvokItL5NOMgIiIiqWnGIS/DRBI7zdzAwAClUomR\nkREWLVrE0qVLZ3jETcBjAGzZsoW5c+dO26O/v59SqcS5555bM5/D0NBQSwMflZhKRKR9NHBoo2H8\nFE8Z4IFmjzI9esKAVatWTVUILRTY+PjjzZ4A2ASFt04e68MrV+Kim4NAy95eX8Fz3vHHs+355xPf\nsCsSRwVBo1lSYioRkfbSVxVtdJDKqpDNBQJOL2XpwmOFFS/LZQYHB5tuJwxWHGvy+KFYYqrxQ4eq\nJoOaTBwVHCtdhdD0lJhKRKS9NOOQg7AqZJaT95MBjllWvIwcKzGAspFg0FZX4lRiKhGRtjgmBg7p\nkyod+7K61uHhYRYsqPLTjba0oDXCeAbFMoiI5KNzBw6RwlK9ebel1Q4cyPxaP/3pG/jiFz+fat+K\n2IsO7u1oPEMYyyAiIu3VuTEONRIWzTqHDmV+rUeOTHDwYLqCVvHYi49l0oLsReMlFMsgIpKPzp1x\nCCUkLJq1cr7WMPbi1bm1IKVWx0uIiEhVnTvjICIiIh2n82ccOlipxrbWhRjuSb3nrl3ZVdrMM2Qy\nTB4VTyKlapoiIu2ngUOjIkGbywsFtscTGoXJkTJOdDRlbeo9+/r66u9USwuCNhtRtWpm0C5V0xQR\naT99VdGoMGjzmmuYKJeZFp7X6qDOy+vvAsAFwWMmWhC02Yho1cyKhFk5t0tEpJtpxqFZ9QL0WhXo\neHLK/X4zw3N2SNDmtC8muilwVkSkQ2jgkIMSsJkm4wYyLIwVCiMhtsSeNyKp4FWri1tVUywWGR8f\nZ968eZPrlDBKRCQbGjjkYHmhwESjMRBhbMWGDGMngliBvqAtK8MiWU20q7e3FwoF5s2Zw7Zt2wBY\n/LrFjB0ay669Ka1YsYLjgKORdfN7eihu3arBg4jIDCnGIQcTzXw/H8ZOLFuWXUPisQIzaVdQxGp8\nfJzh4WGfrOnQWPqYjAx9DD9oCGMj7gVGx8aUMEpEJAOacchLs9/Pn3JKa9vSbLuqxXykjcnIUJjA\nKoyNEBGR7GjgIJkbGBjgxRdf9E+Gqu8XRj9E5wHC5S3AzsgyNB4TEh6/Vr4NERFpjAYOkikDVq1a\n5eMxAJ6evs8w+DwMQTzFnCC2ogR8JliOxls0GnsxEjv+3GZiN0REJJFiHCRTjiDfQo14iYPR7Tfd\nxOHgTX0E/PKyZTOKvRiNHb/hQFQREalKMw6SubPChXrxEmeembw+jOOYaexFteOLiEjTNOMgIiIi\nqTU8cDCzi81snZntNLOymb07YZ/PmdkuMxs1s0fM7Oxsmtt5iqRPmJRdySmppVoZsGKxyObNmxka\nqhGxKSIiNTXzVcUJwD8BdwIPxDea2Y3AJ4FrgReA/wasN7MlzrmJ5pvaYcJCS2m+P48lWpIWCZJR\nrU3oZ2OqWJaSQYmINK/hGQfn3MPOuf/qnHsI/+9x3KeA1c65/+2c+yl+APFq4A9n1tQO00ihJRVl\nao8aSbIcPhGUkkGJiMxMpsGRZnYWsBB4LFznnDtgZk8CS4H7szxfR2gkaE9FmdqjSpKsJW1uhojI\nbJT1ryoW4j/c7Y6t3x1sk3Z5Kb9TN1W8awavm6mhoaHJGYi0xbCirwnlVUirk9oiIrNf5/wc8+67\n4aXg3e722/30vjQuiKeg2OZ4ivC85TK9jbwuLN7V6OtmqFTy+SSHhoYqinH1HN/D1udrxz8MDQ2x\nePESxsZGK9b39Mxn69ZiW9+wO6ktItJaa9asYc2aNRXr9u/f3/Z2ZP1zzJfwcQ/xwgWnUe8z8HXX\nwTnn+OVPfAKuuirjpnWJvOIpmj1vGJfQ5vaOjIwATBXjWg4sh7FD9eMfhoeHgzfqsIyWL6U1Njba\n9tiJTmqLiLTW1Vdfzbp16yoet912W9vbkemMg3Nuh5m9BFwB/ATAzE4ELgRuz/JcUkde8RTNnjfv\n+I8Fzbyok8podVJbRGQ2a3jgYGYnAGcz9YuKRWb2BmCvc+5F4EvAfzGzn+F/jrka+CXwUCYtFhER\nkdw0M+NwAbABHwTpgL8O1n8TWOmc+7yZzQe+CpwEDADvnFU5HOSY98QTTwCwY0dWIZk+ZqJYLCow\nUURmtYYHDs65H1InNsI591ngs801SaT1+vr66Ovry+hoQxRYThmfZEoJpkRkNlOtCulOlwN/HPyd\nsWHKTCjBlIh0hc75OaZIO52Mz2ea4fu7EkyJSDfQwEHaagf5Ffsq4oNuOkkzyadERPKkgYO0R5Ag\nqrfdhb4iCaZWAHOD5U7QTPIpEZG8KcZB2iOvxFTRBFM33cREhwwaoLnkUyIiedOMg7RXnompOlVT\nyadERPKhGQcRERFJTTMOIjHFYnFyudmAxf7+fkqlEqeffnrFMaLBkNHzNCI8RqlU4plnngnWlpo6\nlohIozRwEAm97KfgVqxYMbmq0WROJfwxenunan2GxwAqgiGbUVENMxroWXgflLcCCqwUkdbSVxUi\noTEoM1VnsplkTiNUP0ZFMGSTyaemqmGurgj6pDxGpkkpRESq0IyDSEwWdSZrHmMBGSSfOsv/6eSg\nTxGZlTRwmCWyKtXUtYaBfcmb+vv7KRaLLFq0iKVLl0a2FGN/qysWi6lmLgYGBiaXlRBKRDqRBg7H\nskhyo976e0uSUf99XfmB6Zvi8QoF4PGNG9m7d68vKu9WTH9RFdG4iUQvAwarVq2aXKWEUCLSiRTj\ncCyLJjdqZ1Kl2WR8KiZhdWxTNF7h3mB5cHCQkZERX1A+jFW4IMV5Lqd2TMMYlcdUQigR6VCacZgN\n8kqqNIvUKlBVdVsYq7A9xQlOTtmQ8JgiIh1KAweRBuzYEYkmeRlfsevg1KpwfqBILCHkKDDe/HnD\n3A1TuR/qj1bS5KMIj9vKeIpo7opabWn0WIoBEcmHBg4iDYjmZyh8B8pHp7aVgM9ECmr1FAqsDfMs\nPFqAI2Ufk/JyY/UyhoaGWLJ4MaNjU/kfjL/AVX2Fj86IxlX09Mxn69ZixRvt0NAQi5csYWx0lJ75\n89laLGb+RlyRd6JGW1IfS0XBRHKnGAeRRkRiFcpHK2MjRoDDkdwKY+UyI+HrjpThmmt8TEqD+Z+G\nh4cZHRubzA2xGmoMGsKWVGaTGBsbnRYvMTw8zNjoKFxzDWOj07dnYSrvRO22pD6WioKJ5E4zDiKN\niMUqJMY/VMutcNppMzp1mBsifaLqlBkpZtiudLLIjhFQUTCRXGnGQURERFLTjIN0pyGgh4rAxlD4\nib7RSfBWJOFqthBWM0qlEps3b55c3rNnD3PmzGFiYoK5c+cCcNJJJ3HuuecmFu1asGABO3fuZHBw\nEICJiQl27twZXgnRqYL4dSnQUeTYoYGDdI9IwiyeBjZHikQRDBQKBVYE6+YUKrdXE76uN8W+qSUU\n3Gq15cvfx8SED8Ao4KMk4ssA83rmsW3rNqCyaNfceXM5Mj5R5XUrKNBDmTuIB25C8wGTItJ++qpC\nukc0YdZNN0G5zMcimw9CxfbDKQcCk69btiy7to5VT0zVKn7Q4NNdxRNfcTmTianGx8anF+1aDhPB\noCFsc7zYV5kxYGdsy8wCJkWk/TTjIN0nEryYmGup2cJRp5zS3OtqqJWYqjWWJCzhg0KrJaaKBSsu\niS0nh0RmGCwpIm2lgYN0tV3B32JkuaYqhbAasi842WjCtuHIPlU0+7l8YGBgMrbg8OHD7N+/P2Gv\nKjEVYZuDk7ci9iJNwippTpZJuEQ0cJDuFMQ79JXLFXEN1YQFr8obGjvNMEE9LIADB3yMxYYybABe\nEYkCqFFsK2qIqSRT6ZUAY9X1q+olgAAqYw8qrju49uxjL9IlrJLmZJmESwQU4yDdKox3WLYsVaGw\neEqltHEHB4m8Vx86VBljcSTy5j+e7vjDBEmmGoqnGPGtiBXRmiaMY7i88pXTYxUIWphV9EW6hFXS\nnCyTcImAZhyk24VxCSkLhTWehClBjRiK1MdvNp6iVhGtMI4h4f1kekTCWc2dvybFPbSW+leyoRkH\nERERSU0zDiJ1lJhK7rQl+JtpsqdhEhNRNa4f+AmwMfL8F0xr7QipIyyrVvtsugfCHvxBZF1Y6bNY\nsU9/fz+lUonTTz+dBQvq55lOqpzZrqDA+HnGx8eZN28e4JNpjYyM1EyelfS6Vra3VbLqbwVzdjYN\nHETqWF4oMBEEI66MBiYWCpRmmPTJAFcnIDI9X7lzKuSydyrhVfj3ZeAbBZio0e4ghq5mtU96q7w4\n2WSQJWuDNn5mKjnUZPToiornvb29k8s9PfNZu/b+qsdPqpz5g8d+wNve9vaWBwUmBR/CccDR2PXF\nkmdNe03sdS1qb6tkFYSpYM7Op68qROqYiAZPxhJIjdR/eU2O7JI8xRMvrQbf3rAqJ/jKnBN1gkHH\n/Z+a1T4jVULTiIY/ViSVupzKoM3o8+XBMqsZGxtlZKR6bydVzhwcHGxLUOD04MPV+Df/4Goj11OR\nPKviNfHXHXtBjFkFYSqYs/NpxkEkjWjwZLMJoqrIKslTPPHSpKTqlymDQSf3jTt5+qo0piWVCoVB\nm8OR55MaCMRM/EajXUGB8dDWyNVW/aYl2rZiwrpjUVbtP9b7YfZq2cDBzD4BfBpYiP/S8k+cc/+v\nVefrSs8+m3cLut4OUiaOqiMaSzDOVARBMbZcS3zfxCiEX9U4QJjkKSne4qmnIHrMaIKq2AfBUp12\nNmvHjsgVvez/bNni4yGSElI98cQTiS3KItHUpk2bJot5TbUrPG4Ys3EncFEDR60eUdKsTZs28dhj\njwXPBmZ03HoxGVklBXv44YczOU4atWJTQs3cI7M9RqMlAwczez/w1/jJx6eA64H1ZvY7zjnNN2VF\nA4fWiRbEqrE9i8JW8ViCaFzCikg8RdUkVUFb0uxrP6yRAyqS5GmajRunrjdMYhW29YHIcrnM8kKB\nz2dZ8IthoOBjHsAPGv7eR0ys/MhHJv8bFYByMKDAoK+vL1heDm47WSWa2rRpExe95aLKjjTAVcZo\nwB3BI40hsM9MxXpYD7i1qdtUrZ1vveiiSKGxVRS4kTL/0PCxkuM4IB6TkYX169dnerxq6samBBq9\nR7ohRqNVMQ7XA191zt3jnHse+Cg+5Kp6hh2RThJNEFVre53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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_20 = tr_nearest_save(agents_diff(1000,1000),100000,0.2,0.5)\n", + "trial_21 = tr_nearest_save(agents_diff(1000,1000),100000,0.2,1.0)\n", + "trial_22 = tr_nearest_save(agents_diff(1000,1000),100000,0.2,1.5)\n", + "trial_23 = tr_nearest_save(agents_diff(1000,1000),100000,0.2,2.0)\n", + "plt.hist(trial_20, bins=100, label='alpha=0.5')\n", + "plt.hist(trial_21, bins=100, label='alpha=1.0')\n", + "plt.hist(trial_22, bins=100, label='alpha=1.5')\n", + "plt.hist(trial_23, bins=100, label='alpha=2.0')\n", + "plt.legend(loc='upper right')\n", + "plt.title(\"Neartest Neighbor at 20% Savings, N=1000\")\n", + "plt.xlabel(\"Amount of Money\")" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def tr_nearest_prev(agent_array, tr_num,a,gamma):\n", + " c_i_j = np.zeros((len(agent_array)-1, len(agent_array)-1))\n", + " #print(c_i_j)\n", + " people = copy.copy(agent_array)\n", + " current = 1\n", + " while current <= tr_num:\n", + " i,j = random.sample(range(0, len(agent_array)-1),2)\n", + " #print(i,j)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " #print(m_i,m_j)\n", + " total_m = m_i + m_j\n", + " diff = m_i-m_j\n", + " if diff==0:\n", + " diff = 1\n", + " abs_diff = abs(diff)\n", + " prob = 1/(abs_diff**(a))*(c_i_j[i][j]+1)**gamma\n", + " user_set = random.uniform(0,1)\n", + " current += 1\n", + " c_i_j[i][j]+=1\n", + " c_i_j[j][i]+=1\n", + " #print(prob)\n", + " if prob>=user_set:\n", + " epsilon = random.uniform(0,1)\n", + " if people[i]>0 and people[j]>0:\n", + " people[i] = epsilon*total_m\n", + " people[j] = (1-epsilon)*total_m\n", + " else:\n", + " continue\n", + " else:\n", + " continue\n", + " \n", + " #print(total_money_begin, total_money_end)\n", + " return people" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + ">" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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33LMZxZY0iFk3qSvrr78+v/nNb9h5553XpB1xxBFsscUWzJkzhxtuuIG3vvWt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WF5riIMxMNyPev4Q7Ep0++iprKNRGzqVM4hu4eNRFzKUtYhu64DFZssPJiIiIiIiIgIoDGKIiIi\nIiIiEqOKooiIiIiIiLRRRVFERERERETaqKIoIiIiIiIibVRRFBERERERkTaqKIqIiIiIiEgbVRRF\nRERERESkjSqKIiIiIiIi0kYVRREREREREWmjiqKIiIiICGBmbzGz+8zsaTP7j7rzI1InVRRFRERE\nRpyZHWxmz5jZ9+rOS15mdm2JlboLgMuAFwAfTTnfg2a2xcyOT9h3V7jvxJLyI1IbVRRFRERE5DTg\nPOBwM5tfd2bqYGbPAvYErnL3GXd/MiWpA9PAKbHPHwTMA37f14yKVEQVRREREZERZma7ACcAXwSu\nBE6O7T8i7CV7nZmtMLP1ZnaNme1hZm80s7vNbK2ZXWpmcyKf28HMzjOzGTPbYGaTZnZgZP9JZrYm\ndq5jzWxL5P3ZZnabmb3DzFaa2e/MbCLMM2Z2MXAEcHqYx81m9sKUcu5uZkvM7HEze9LMlpnZvq0y\nAk8QVAKvDY9zeIev7VLgCDP7o8i2U4GlwDOx8+5lZpeb2brwe/qmme2ZtYxhGjOzs8zsgfD7v83M\n3hrZf5+ZfSB23peF38mLOpRDJJUqiiIiIiKj7QRgyt3vI6gAnZaS7mzg3cAhwAsJHtH8R+BtwFHA\n64D3RdJ/CjgOeCdwAHA/sNzMdo+k8YTzxLftAxwbnuNogorhh8N9pwM3Al8h6M17PvDrlPx/HXg5\n8CbgYMCAK81sW+B6YGG47bjwODekHAdgBlgOnARgZjsRfI8Xhccg3G7AFcDuwGHAa4EXAf+Vo4wA\nHwHeAbwL2A/4DHCJmR0W7r+IWA9n+P7H7v5Ah3KIpFJFUURERGS0nQpcEr7+IbBrQm+aA//k7je5\n++3AV4HDgcXufoe7Xw98C3g1gJntDCwGPujuV7n7PcDfAxtIr4imMeAkd58Kz3MJcCSAuz8BPAWs\nd/dH3f0Rd59V+Qx7Dt8MnObuN7j7ncDbCcYivsXdnwEeCZOvCY/zTPw4MReztXL2N8D97n5HLM1r\ngT8FFrn7z9z9J8CJwKvMbDxLGc1sB+As4FR3v8bdH3T3JQSV+n8IP/81YGGrx9bMtgMWEVwnkUJU\nURQREREZUWa2EHglYQ+Xu28m6ClMqszdGXk9Q1A5+1VsW+uRyn2A7Yj0yoUVr1uAsZzZfNDd10fe\nPxQ5T1ZjwNPh+Vv5eRy4t0B+Wq4Edgkr1aeQXCl7CfBrd18VOe8U8LvYeTuVcV9gZ+Dq8PHVdWa2\njqCndp/wmA8Bywgq/QDHADsQVN5FCtmu7gyIiIiISG1OA7YFHgqekvyDTWb2XndfF9n2dOS1x963\ntuXphNhC5DHN0PYJ6Xo9T1+4+2YzWwr8C0Fl+9geDtepjM8K/3sUsCqWblPk9YXAEjM7g2Cc6Tfd\nfWMPeZIRV/s/MhERERGpXjg2753AB4CXxv5WETy6WNQvCSo/h0bOtx3wCuCucNOjwLPD8X0tBxQ4\n11MEld1Opgg6SA6K5Od5BOMS7y5wzpaLCB7B/W74GGzSefeKTnpjZvsRjFm8KyF9krsJKoR7u/sD\nsb/fRtItA54kGEf6BvTYqfRIPYoiIiIio+nNBBWWi2I9h5jZt4G/A77c2pTnwO6+3sy+CHwqnNn0\n18CZwE4ElSuAm4H1wCfN7DyCCWZOKlCOB4GDzGxvgqUpHo+PU3T3+83sCuArZrY4TPdvYb4uL3DO\n1nHvMbO5YTmS9l9jZj8HLg17+rYHvgBc6+63ZTzH783s08Bnwsr9dcBuBJXwte5+SZhui5l9Hfgk\n8At3vyX1oCIZqEdRREREZDSdClwdrySG/gcYN7P9w/dJs5N28+HwOEuAnxLM9vk6d18L4O5rCGby\nfCNwB8GsoWcXOM+ngc0EPW+PAHulpDsZuBX4HsEsp1uAo8NxmS1ZyhmvhK5x901p+wnGC64Bfgxc\nRTD769synCd6jo8C5xB8p3cDPyB4FHVlLOlXCcYmXoRIjyxhYigRERERERkw4XIZVwN7ufujdedH\nBpsqiiIiIiIiAyxcQmNPgmUyVrn7ifXmSIaBHj0VERERERlsiwjGau4KfKjerMiwUI+iiIiIiIiI\ntFGPooiIiIiIiLRRRVFERERERETaqKIoIiIiIiIibVRRFBERERERkTaqKIqIiIiIiEgbVRRFRERE\nRESkjSqKIiIiIiIi0kYVRREREREREWmjiqKIiIiIiIi0+X9NdiOfV6An0wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_24 = tr_nearest_prev(agents_diff(1000,1000),100000,1,0.0)\n", + "trial_25 = tr_nearest_prev(agents_diff(1000,1000),100000,1,1.0)\n", + "trial_26 = tr_nearest_prev(agents_diff(1000,1000),100000,1,2.0)\n", + "trial_27 = tr_nearest_prev(agents_diff(1000,1000),100000,1,3.0)\n", + "trial_28 = tr_nearest_prev(agents_diff(1000,1000),100000,1,4.0)\n", + "\n", + "f, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize = (10,10))\n", + "\n", + "#ax1.hist(trial_29, bins=100, label='gamma = 0.0')\n", + "ax1.set_title(\"Previous Interactions and Nearest Neighbor, N=1000, alpha=1.0\")\n", + "ax1.hist(trial_25, bins=100, label='gamma = 1.0')\n", + "ax1.legend(loc='upper right')\n", + "ax2.hist(trial_26, bins=100, label='gamma = 2.0')\n", + "ax2.legend(loc='upper right')\n", + "ax3.hist(trial_27, bins=100, label='gamma = 3.0')\n", + "ax3.legend(loc='upper right')\n", + "ax4.hist(trial_28, bins=100, label='gamma = 4.0')\n", + "ax4.legend(loc='upper right')\n", + "plt.xlabel(\"Amount of Money\")\n", + "f.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + ">" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ev5VS+kt+heJIsg/7RwHvjIivp5TeWW0BNdjQx/DoY3i5cWTdqM7uY/rKDxS9gm9EvJrs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\n3mfdunVF1WYHbt/777Jly+jo6BjWOipVLbcWFG1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tda4iY5OJYmlcDNwTEV8CriEbZE8A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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trial_29 = tr_nearest_prev(agents_diff(1000,1000),100000,2.0,0.0)\n", + "trial_30 = tr_nearest_prev(agents_diff(1000,1000),100000,2.0,1.0)\n", + "trial_31 = tr_nearest_prev(agents_diff(1000,1000),100000,2.0,2.0)\n", + "trial_32 = tr_nearest_prev(agents_diff(1000,1000),100000,2.0,3.0)\n", + "trial_33 = tr_nearest_prev(agents_diff(1000,1000),100000,2.0,4.0)\n", + "\n", + "f, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize = (10,10))\n", + "\n", + "#ax1.hist(trial_29, bins=100, label='gamma = 0.0')\n", + "ax1.set_title(\"Previous Interactions and Nearest Neighbor, N=1000, alpha=2.0\")\n", + "ax1.hist(trial_30, bins=100, label='gamma = 1.0')\n", + "ax1.legend(loc='upper right')\n", + "ax2.hist(trial_31, bins=100, label='gamma = 2.0')\n", + "ax2.legend(loc='upper right')\n", + "ax3.hist(trial_32, bins=100, label='gamma = 3.0')\n", + "ax3.legend(loc='upper right')\n", + "ax4.hist(trial_33, bins=100, label='gamma = 4.0')\n", + "ax4.legend(loc='upper right')\n", + "plt.xlabel(\"Amount of Money\")\n", + "f.tight_layout" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def prev_ver(agent_array, tr_num,a,gamma):\n", + " c_i_j = np.zeros((len(agent_array)-1, len(agent_array)-1))\n", + " people = copy.copy(agent_array)\n", + " current = 1\n", + " while current <= tr_num:\n", + " i,j = random.sample(range(0, len(agent_array)-1),2)\n", + " '''\n", + " #print(i,j)\n", + " m_i = people[i]\n", + " m_j = people[j]\n", + " #print(m_i,m_j)\n", + " total_m = m_i + m_j\n", + " diff = m_i-m_j\n", + " if diff==0:\n", + " diff = 1\n", + " abs_diff = abs(diff)\n", + " prob = 1/(abs_diff**(a))*(c_i_j[i][j]+1)**gamma\n", + " user_set = random.uniform(0,1)\n", + " '''\n", + " current += 1\n", + " c_i_j[i][j]+=1\n", + " '''\n", + " #print(prob)\n", + " if prob>=user_set:\n", + " epsilon = random.uniform(0,1)\n", + " if people[i]>0 and people[j]>0:\n", + " people[i] = epsilon*total_m\n", + " people[j] = (1-epsilon)*total_m\n", + " else:\n", + " continue\n", + " else:\n", + " continue\n", + " '''\n", + " \n", + " #print(total_money_begin, total_money_end)\n", + " return c_i_j" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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TSEo8Uf6v5nfmFg3AoUEnALyBXuM0EDzGmD8D8N/hFtm+FMDHrbU/6bLPYriA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\nlID/B6eCcCq91rYBAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_prev = prev_ver(agents_diff(100,420),1000000,2.0,1.0)\n", + "test_prev\n", + "myplot = plt.matshow(test_prev)\n", + "myplot.axes.get_xaxis().set_visible(False)\n", + "myplot.axes.get_yaxis().set_visible(False)\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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T0FOMXjrVl/ZtsVwf1RW2TXVbPuPHejFtT8vnoV1rOuEFHM4+OsixT6N/LrCr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wHcA+AJF3nEyKCLZTeN7VQvdDAfTA7S/L56autzZAQ47rwSgAS0BMQKmCZ42EJnn6/F83Ssq2tX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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_prev = prev_ver(agents_diff(1000,420),1000000,2.0,1.0)\n", + "test_prev\n", + "myplot = plt.matshow(test_prev)\n", + "myplot.axes.get_xaxis().set_visible(False)\n", + "myplot.axes.get_yaxis().set_visible(False)\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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vuxUAPgpXY/yDcAFn30OBKCzOshEY/x4El5L0B/dKpsQoFmFQaTByVc1MIX06KNNH3SuO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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "test_prev = prev_ver(agents_diff(100,420),1000000,0,1.0)\n", + "test_prev\n", + "myplot = plt.matshow(test_prev)\n", + "myplot.axes.get_xaxis().set_visible(False)\n", + "myplot.axes.get_yaxis().set_visible(False)\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [default]", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/doc/Programs/Finance/agents.py b/doc/Programs/Finance/agents.py new file mode 100644 index 000000000..863a52889 --- /dev/null +++ b/doc/Programs/Finance/agents.py @@ -0,0 +1,35 @@ +#!/usr/bin/env python +import numpy as np +import matplotlib.mlab as mlab +import matplotlib.pyplot as plt +import random + +# initialize the rng with a seed +random.seed() +# Hard coding of input parameters +Agents = 100 +MCcounts = 1000 +Transactions = 10000 +startMoney = 1.0 +Lambda = 0.0 +FinancialAgents = startMoney*np.ones(Agents) +for i in range (1, MCcounts, 1): + for j in range (1, Transactions, 1): + agent_i = int(Agents*random.random()) + agent_j = int(Agents*random.random()) + epsilon = random.random() + if agent_i != agent_j: + m1 = Lambda*FinancialAgents[agent_i] + (1-Lambda)*epsilon* (FinancialAgents[agent_i] + FinancialAgents[agent_j]) + m2 = Lambda*FinancialAgents[agent_j] + (1-Lambda)*(1-epsilon)*(FinancialAgents[agent_i] + FinancialAgents[agent_j]) + FinancialAgents[agent_i] = m1 + FinancialAgents[agent_j] = m2 + +# the histogram of the data +n, bins, patches = plt.hist(FinancialAgents, 20, facecolor='green') + +plt.xlabel('$x$') +plt.ylabel('Distribution of wealth') +plt.title(r'Money') +plt.axis([0, 10, 0, 100]) +plt.grid(True) +plt.show() diff --git a/doc/Programs/LifeScience/Hudson_Bay.csv b/doc/Programs/LifeScience/Hudson_Bay.csv new file mode 100644 index 000000000..fd9d4767f --- /dev/null +++ b/doc/Programs/LifeScience/Hudson_Bay.csv @@ -0,0 +1,22 @@ +Year,Hares (x1000),Lynx (x1000) +1900,30.0,4.0 +1901,47.2,6.1 +1902,70.2,9.8 +1903,77.4,35.2 +1904,36.3,59.4 +1905,20.6,41.7 +1906,18.1,19.0 +1907,21.4,13.0 +1908,22.0,8.3 +1909,25.4,9.1 +1910,27.1,7.4 +1911,40.3,8.0 +1912,57,12.3 +1913,76.6,19.5 +1914,52.3,45.7 +1915,19.5,51.1 +1916,11.2,29.7 +1917,7.6,15.8 +1918,14.6,9.7 +1919,16.2,10.1 +1920,24.7,8.6 diff --git a/doc/Programs/LifeScience/Hudson_Bay.py b/doc/Programs/LifeScience/Hudson_Bay.py new file mode 100644 index 000000000..acd44518e --- /dev/null +++ b/doc/Programs/LifeScience/Hudson_Bay.py @@ -0,0 +1,43 @@ +import numpy as np +import matplotlib.pyplot as plt + +def solver(m, H0, L0, dt, a, b, c, d, t0): + """Solve the difference equations for H and L over m years + with time step dt (measured in years.""" + + num_intervals = int(m/float(dt)) + t = np.linspace(t0, t0 + m, num_intervals+1) + H = np.zeros(t.size) + L = np.zeros(t.size) + + print 'Init:', H0, L0, dt + H[0] = H0 + L[0] = L0 + + for n in range(0, len(t)-1): + H[n+1] = H[n] + a*dt*H[n] - b*dt*H[n]*L[n] + L[n+1] = L[n] + d*dt*H[n]*L[n] - c*dt*L[n] + return H, L, t + +# Load in data file +data = np.loadtxt('Hudson_Bay.csv', delimiter=',', skiprows=1) +# Make arrays containing x-axis and hares and lynx populations +t_e = data[:,0] +H_e = data[:,1] +L_e = data[:,2] + +# Simulate using the model +H, L, t = solver(m=20, H0=34.91, L0=3.857, dt=0.1, + a=0.4807, b=0.02482, c=0.9272, d=0.02756, + t0=1900) + +# Visualize simulations and data +plt.plot(t_e, H_e, 'b-+', t_e, L_e, 'r-o', t, H, 'm--', t, L, 'k--') +plt.xlabel('Year') +plt.ylabel('Numbers of hares and lynx') +plt.axis([1900, 1920, 0, 140]) +plt.title(r'Population of hares and lynx 1900-1920 (x1000)') +plt.legend(('H_e', 'L_e', 'H', 'L'), loc='upper left') +plt.savefig('Hudson_Bay_sim.pdf') +plt.savefig('Hudson_Bay_sim.png') +plt.show() diff --git a/doc/Programs/LifeScience/diffeq.py b/doc/Programs/LifeScience/diffeq.py new file mode 100644 index 000000000..fcfa16090 --- /dev/null +++ b/doc/Programs/LifeScience/diffeq.py @@ -0,0 +1,12 @@ +import numpy as np + +t = np.linspace(0, 10, 21) # 20 intervals in [0, 10] +dt = t[1] - t[0] +N = np.zeros(t.size) + +N[0] = 1 +r = 0.5 + +for n in range(0, N.size-1, 1): + N[n+1] = N[n] + r*dt*N[n] + print 'N[%d]=%.1f' % (n+1, N[n+1]) diff --git a/doc/Programs/LifeScience/ecoli.csv b/doc/Programs/LifeScience/ecoli.csv new file mode 100644 index 000000000..187c34b87 --- /dev/null +++ b/doc/Programs/LifeScience/ecoli.csv @@ -0,0 +1,11 @@ +0,100 +600,140 +1200,250 +1800,360 +2400,480 +3000,820 +3600,1300 +4200,1700 +4800,2900 +5400,3900 +6000,7000 diff --git a/doc/Programs/LifeScience/ecoli.py b/doc/Programs/LifeScience/ecoli.py new file mode 100644 index 000000000..ad411a3cf --- /dev/null +++ b/doc/Programs/LifeScience/ecoli.py @@ -0,0 +1,27 @@ +import numpy as np + +# Estimate r +data = np.loadtxt('ecoli.csv', delimiter=',') +t_e = data[:,0] +N_e = data[:,1] +i = 2 # Data point (i,i+1) used to estimate r +r = (N_e[i+1] - N_e[i])/(N_e[i]*(t_e[i+1] - t_e[i])) +print 'Estimated r=%.5f' % r +# Can experiment with r values and see if the model can +# match the data better + +T = 1200 # cell can divide after T sec +t_max = 5*T # 5 generations in experiment +t = np.linspace(0, t_max, 1000) +dt = t[1] - t[0] +N = np.zeros(t.size) + +N[0] = 100 +for n in range(0, len(t)-1, 1): + N[n+1] = N[n] + r*dt*N[n] + +import matplotlib.pyplot as plt +plt.plot(t, N, 'r-', t_e, N_e, 'bo') +plt.xlabel('time [s]'); plt.ylabel('N') +plt.legend(['model', 'experiment'], loc='upper left') +plt.show() diff --git a/doc/Programs/LifeScience/ecoli_inverse.py b/doc/Programs/LifeScience/ecoli_inverse.py new file mode 100644 index 000000000..43a406fc5 --- /dev/null +++ b/doc/Programs/LifeScience/ecoli_inverse.py @@ -0,0 +1,27 @@ +import numpy as np + +data = np.loadtxt('ecoli.csv', delimiter=',') +t_experiment = data[:,0] +N_experiment = data[:,1] + +def error(p): + r = p[0] + T = 1200 # cell can divide after T sec + t_max = 5*T # 5 generations in experiment + t = np.linspace(0, t_max, len(t_experiment)) + dt = (t[1] - t[0]) + N = np.zeros(t.size) + + N[0] = 100 + for n in range(0, len(t)-1, 1): + N[n+1] = N[n] + r*dt*N[n] + + e = np.sqrt(np.sum((N - N_experiment)**2))/N[0] # error measure + e = abs(N[-1] - N_experiment[-1])/N[0] + print 'r=', r, 'e=',e + return e + +from scipy.optimize import minimize + +p = minimize(error, [0.0006], tol=1E-5) +print p diff --git a/doc/Programs/LifeScience/plot_Hudson.py b/doc/Programs/LifeScience/plot_Hudson.py new file mode 100644 index 000000000..2d05fd162 --- /dev/null +++ b/doc/Programs/LifeScience/plot_Hudson.py @@ -0,0 +1,19 @@ +import numpy as np +from matplotlib import pyplot as plt + +# Load in data file +data = np.loadtxt('Hudson_Bay.dat', delimiter=',', skiprows=1) +# Make arrays containing x-axis and hares and lynx populations +year = data[:,0] +hares = data[:,1] +lynx = data[:,2] + +plt.plot(year, hares ,'b-+', year, lynx, 'r-o') +plt.axis([1900,1920,0, 100.0]) +plt.xlabel(r'Year') +plt.ylabel(r'Numbers of hares and lynx ') +plt.legend(('Hares','Lynx'), loc='upper right') +plt.title(r'Population of hares and lynx from 1900-1920 (x1000)}') +plt.savefig('Hudson_Bay_data.pdf') +plt.savefig('Hudson_Bay_data.png') +plt.show() diff --git a/doc/src/How2ReadData/How2ReadData.do.txt b/doc/src/How2ReadData/How2ReadData.do.txt index 612e557d9..ffdc3075b 100644 --- a/doc/src/How2ReadData/How2ReadData.do.txt +++ b/doc/src/How2ReadData/How2ReadData.do.txt @@ -499,5 +499,885 @@ text(0, 0.5, paste("y =x^ (", power, " +/- ", power.se, ")", sep = ""), pos = 4) !eblock +!split + +!split +===== Example: ecoli lab experiment ===== + + +!bnotice Typical pattern: +The population grows faster and faster. "Why? Is there an underlying (general) mechanism":"http://www.zo.utexas.edu/courses/Thoc/PopGrowth.html"? +!enotice +!bblock + o Cells divide after $T$ seconds on average (one generation) + o $2N$ celles divide into twice as many new cells $\Delta N$ in a time + interval $\Delta t$ as $N$ cells would: $\Delta N \propto N$ + o $N$ cells result in twice as many new individuals $\Delta N$ in + time $2\Delta t$ as in time $\Delta t$: $\Delta N \propto\Delta t$ + o Same proportionality wrt death (repeat reasoning) + o Proposed model: $\Delta N = b\Delta t N - d\Delta tN$ for some unknown + constants $b$ (births) and $d$ (deaths) + o Describe evolution in discrete time: $t_n=n\Delta t$ + o Program-friendly notation: $N$ at $t_n$ is $N^n$ + o Math model: $N^{n+1} = N^n + r\Delta t\, N$ (with $\ r=b-d$) + o Program model: `N[n+1] = N[n] + r*dt*N[n]` +!eblock + +!split +===== The program ===== + +!bblock +Let us solve the difference equation in as simple way as possible, +just to train some programming: $r=1.5$, $N^0=1$, $\Delta t=0.5$ + +@@@CODE ../../Programs/LifeScience/diffeq.py +!eblock + +% if FORMAT != 'ipynb': +!split +===== The output ===== + +!bc +N[1]=1.2 +N[2]=1.6 +N[3]=2.0 +N[4]=2.4 +N[5]=3.1 +N[6]=3.8 +N[7]=4.8 +N[8]=6.0 +N[9]=7.5 +N[10]=9.3 +N[11]=11.6 +N[12]=14.6 +N[13]=18.2 +N[14]=22.7 +N[15]=28.4 +N[16]=35.5 +N[17]=44.4 +N[18]=55.5 +N[19]=69.4 +N[20]=86.7 +!ec +% endif + +!split +===== Parameter estimation ===== + +!bblock + * We do not know $r$ + * How can we estimate $r$ from data? + +We can use the difference equation with the experimental data + +!bt +\[ N^{n+1} = N^n + r\Delta t N^n\] +!et +Say $N^{n+1}$ and $N^n$ are known from data, solve wrt $r$: + +!bt +\[ r = \frac{N^{n+1}-N^n}{N^n\Delta t} \] +!et + +Use experimental data in the fraction, say $t_1=600$, $t_2=1200$, +$N^1=140$, $N^2=250$: $r=0.0013$. +!eblock + + +!split +===== A program relevant for the biological problem ===== + +# exact r = 0.000694 + +!bblock +@@@CODE ../../Programs/LifeScience/ecoli.py + +Change `r` in the program and play around to make a better fit! +!eblock + + + +!split +===== We shall model a very complex phenomenon by simple math.... ===== + +!bblock Assumptions: + * We consider a perfectly mixed population in a confined area + * No spatial transport, just temporal evolution + * We do not consider individuals, just a grand mix of them + (cf. statistical mechanics vs thermodynamics) +!eblock + +!bpop +!bblock (small) +We consider very simple models, but these can be extended to full +models that are used world-wide by health authorities. Typical +diseases modeled are flu, measles, swine flu, HIV, ... +!eblock +!epop + + +!split +===== We keep track of 3 categories in the SIR model ===== + +!bblock + * _S_: susceptibles - who can get the disease + * _I_: infected - who have developed the disease and infect susceptibles + * _R_: recovered - who have recovered and become immune +!eblock + +!bblock Mathematical quantities: +$S(t)$, $I(t)$, $R(t)$: no of people in each category +!eblock + +!bblock Goal: +Find and solve equations for $S(t)$, $I(t)$, $R(t)$ +!eblock + +FIGURE: [fig/categories_SIR, width=400 frac=0.5] + +!split +===== The traditional modeling approach is very mathematical - our idea is to model, program and experiment ===== + +!bblock + * Numerous books on mathematical biology treat the SIR model + * Quick modeling step (max 2 pages) + * Nonlinear differential equation model + * Cannot solve the equations, so focus is on discussing + stability (eigenvalues), qualitative properties, etc. + * Very few extensions of the model to real-life situations +!eblock + + +!split +===== Dynamics in a time interval $\Delta t$: $\Delta t\,\beta SI$ people move from S to I ===== + +!bblock S-I interaction: + * In a mix of S and I people, there are $SI$ possible pairs + * A certain fraction $\Delta t\,\beta$ of $SI$ meet in a (small) + time interval $\Delta t$, with the result that the infected + ``successfully'' infects the susceptible + * The loss $\Delta t\,\beta SI$ in the S catogory is a corresponding + gain in the I category +!eblock + +!bpop +!bblock (small) Remark +It is reasonable that the fraction depends on $\Delta t$ +(twice as many infected in $2\Delta t$ as in $\Delta t$). +$\beta$ is some unknown parameter we must measure, supposed to not +depend on $\Delta t$, but maybe time $t$. +$\beta$ lumps *a lot* of biological and sociological effects into +one number. +!eblock +!epop + +!split +===== For practical calculations, we must express the S-I interaction with symbols ===== + +Loss in $S(t)$ from time $t$ to $t+\Delta t$: + +!bt +\[ S(t+\Delta t) = S(t) - \Delta t\,\beta S(t)I(t)\] +!et + +Gain in $I(t)$: + +!bt +\[ I(t+\Delta t) = I(t) + \Delta t\,\beta S(t)I(t)\] +!et + +!split +===== Modeling the interaction between R and I ===== + +!bblock R-I interaction: + * After some days, the infected has recovered and moves to the R category + * A simple model: in a small time $\Delta t$ (say 1 day), + a fraction $\Delta t\,\nu$ of the infected are removed + ($\nu$ must be measured) +!eblock + +We must subtract this fraction in the balance equation for $I$: + +!bt +\[ I(t+\Delta t) = I(t) + \Delta t\,\beta S(t)I(t) -\Delta t\,\nu I(t) \] +!et + +The loss $\Delta t\,\nu I$ is a gain in $R$: + +!bt +\[ R(t+\Delta t) = R(t) + \Delta t\,\nu I(t)\] +!et + + +!split +===== We have three equations for $S$, $I$, and $R$ ===== + +!bt +\begin{align} +S(t+\Delta t) &= S(t) - \Delta t\,\beta S(t)I(t) +label{SIR1:S}\\ +I(t+\Delta t) &= I(t) + \Delta t\,\beta S(t)I(t) -\Delta t\nu I(t) +label{SIR1:I}\\ +R(t+\Delta t) &= R(t) + \Delta t\,\nu I(t) +label{SIR1:R} +\end{align} +!et + +FIGURE: [fig/categories_SIR, width=400 frac=0.5] + +Before we can compute with these, we must + + * know $\beta$ and $\nu$ + * know $S(0)$ (many), $I(0)$ (few), $R(0)$ (0?) + * choose $\Delta t$ + +!split +===== The computation involves just simple arithmetics ===== + + * Set $\Delta t=6$ minutes + * Set $\beta =0.0013$, $\nu =0.8333$ + * Set $S(0)=50$, $I(0)=1$, $R(0)=0$ + +!bt +\begin{align*} +S(\Delta t) &= S(0) - \Delta t\,\beta S(0)I(0)\approx 49.99\\ +I(\Delta t) &= I(0) + \Delta t\,\beta S(0)I(0) -\Delta t\,\nu I(0)\approx 1.002\\ +R(\Delta t) &= R(0) + \Delta t\,\nu I(0)\approx 0.0008333 +\end{align*} +!et + +!bpop + * In reality, $S$, $I$, $R$ are integers and events are discrete (meet, get sick) + * In the model, we work with real numbers and continuous events + * Reasonable approximation in a not too small population +!epop + +!split +===== And we can continue... ===== + +!bt +\begin{align*} +S(2\Delta t) &= S(\Delta t) - \Delta t\,\beta S(\Delta t)I(\Delta t)\approx 49.87\\ +I(2\Delta t) &= I(\Delta t) + \Delta t\,\beta S(\Delta t)I(\Delta t) -\Delta t\,\nu I(\Delta t)\approx 1.011\\ +R(2\Delta t) &= R(\Delta t) + \Delta t\,\nu I(\Delta t)\approx 0.00167 +\end{align*} +!et + +Repeat... + +!bt +\begin{align*} +S(3\Delta t) &= S(2\Delta t) - \Delta t\,\beta S(2\Delta t)I(2\Delta t)\approx 49.98\\ +I(3\Delta t) &= I(2\Delta t) + \Delta t\,\beta S(2\Delta t)I(2\Delta t) -\Delta t\,\nu I(2\Delta t)\approx 1.017\\ +R(3\Delta t) &= R(2\Delta t) + \Delta t\,\nu I(2\Delta t)\approx 0.0025 +\end{align*} +!et + +!bpop +But this is getting boring! Let's ask a computer to do the work! +!epop + + + +!split +===== First, some handy notation ===== + +!bt +\[ S^n = S(n\Delta t),\quad I^n = I(n\Delta t),\quad R^n = R(n\Delta t)\] +!et + +!bt +\[ S^{n+1} = S((n+1)\Delta t),\quad I^{n+1} = I((n+1)\Delta t),\quad R^{n+1} = R((n+1)\Delta t)\] +!et + +The equations can now be written more compactly (and computer friendly): + +!bt +\begin{align} +S^{n+1} &= S^n - \Delta t\,\beta S^nI^n +label{SIR1:Sc}\\ +I^{n+1} &= I^n + \Delta t\,\beta S^nI^n -\Delta t\,\nu I^n +label{SIR1:Ic}\\ +R^{n+1} &= R^n + \Delta t\,\nu I^n +label{SIR1:Rc} +\end{align} +!et + +!split +===== With variables, arrays, and a loop we can program ===== + +Suppose we want to compute until $t=N\Delta t$, i.e., for $n=0,1,\ldots,N-1$. +We can store $S^0, S^1, S^2, \ldots, S^N$ in an array (or list). + +Python (Matlab): + +!bc pycod +t = linspace(0, N*dt, N+1) # all time points +S = zeros(N+1) +I = zeros(N+1) +R = zeros(N+1) + +for n in range(N): + S[n+1] = S[n] - dt*beta*S[n]*I[n] + I[n+1] = I[n] + dt*beta*S[n]*I[n] - dt*nu*I[n] + R[n+1] = R[n] + dt*nu*I[n] +!ec + +!split +===== Here is the complete program ===== + +!bc pycod +beta = 0.0013 +nu =0.8333 +dt = 0.1 # 6 min (time measured in hours) +D = 30 # simulate for D days +N = int(D*24/dt) # corresponding no of hours + +from numpy import zeros, linspace +t = linspace(0, N*dt, N+1) +S = zeros(N+1) +I = zeros(N+1) +R = zeros(N+1) + +for n in range(N): + S[n+1] = S[n] - dt*beta*S[n]*I[n] + I[n+1] = I[n] + dt*beta*S[n]*I[n] - dt*nu*I[n] + R[n+1] = R[n] + dt*nu*I[n] + +# Plot the graphs +from matplotlib.pyplot import * +plot(t, S, 'k-', t, I, 'b-', t, R, 'r-') +legend(['S', 'I', 'R'], loc='lower right') +xlabel('hours') +show() +!ec + +!split +===== We have predicted a disease! ===== + +FIGURE: [fig/SIR1, width=800] + + +!split +===== How much math and programming did we use? ===== + +!bblock Math: + * Plain arithmetics + * The concept of a graph (i.e., discrete function in time) + * Units + * Greek letters +!eblock + +!bblock Programming: + * Variable + * Array + * Loop + * Plotting +!eblock + +!split +===== Detour: The standard mathematical approach ===== + +We had from intuition established + +!bt +\begin{align*} +S(t+\Delta t) &= S(t) - \Delta t\,\beta S(t)I(t)\\ +I(t+\Delta t) &= I(t) + \Delta t\,\beta S(t)I(t) -\Delta t\,\nu I(t)\\ +R(t+\Delta t) &= R(t) + \Delta t\,\nu R(t) +\end{align*} +!et + +The mathematician will now make *differential equations*. +Divide by $\Delta t$ and rearrange: + +!bt +\begin{align*} +\frac{S(t+\Delta t) - S(t)}{\Delta t} &= - \beta S(t)I(t)\\ +\frac{I(t+\Delta t) - I(t)}{\Delta t} &= \beta t S(t)I(t) -\nu I(t)\\ +\frac{R(t+\Delta t) - R(t)}{\Delta t} &= \nu R(t) +\end{align*} +!et + +!split +===== A derivative arises as $\Delta t\rightarrow 0$ ===== + +In any calculus book, the derivative of $S$ at $t$ is defined as + +!bt +\[ S'(t) = \lim_{t\rightarrow 0}\frac{S(t+\Delta t) - S(t)}{\Delta t}\] +!et + +If we let $\Delta t\rightarrow 0$, we get derivatives on the left-hand side: + +!bt +\begin{align*} +S'(t) &= - \beta S(t)I(t)\\ +I'(t) &= \beta t S(t)I(t) -\nu I(t)\\ +R'(t) &= \nu R(t) +\end{align*} +!et + +This is a 3x3 system of differential equations for the functions +$S(t)$, $I(t)$, $R(t)$. For a unique solution, we need +$S(0)$, $I(0)$, $R(0)$. + +!split +===== Bad news: we cannot solve these equations! ===== + +!bblock Time to ask a numerical methods expert: +Replace the derivative with a *finite difference*, e.g., + +!bt +\[ S'(t) \approx \frac{S(t+\Delta t) - S(t)}{\Delta t}\] +!et +which is accurate for small $\Delta t$. +!eblock + +This brings us back to the first model, which we can solve +on a computer! + +% if EXTRA: +!split +===== SIR is an ideal model for teaching modeling ===== + +!bquestion +``I believe genes are important for spreading of diseases. It's not +included in the model.'' +!equestion +% endif + +!split +===== Parameter estimation is needed for predictive modeling ===== + + * Any small $\Delta t$ will do + * One can reason about $\nu$ and say that $1/\nu$ is the mean + recovery time for the disease (e.g., 1 week for a flu) + * $\beta$ must in some way be measured, but we don't know what it means... + +!bblock So, what if we don't know $\beta$? + * Can still learn about the *dynamics* of diseases + * Can find the sensitivity to and influence of $\beta$ + * Can apply *parameter estimation* procedures to fit $\beta$ to data +!eblock + +!split +===== Let us extend the model: no life-long immunity ===== + +!bblock Assumption +After some time, people in the R category lose the immunity. +In a small time $\Delta t$ this gives a leakage $\Delta t\,\gamma R$ +to the S category. ($1/\gamma$ is the mean time for immunity.) +!eblock + +FIGURE: [fig/categories_SIR_feedback, width=400 frac=0.5] + +!bt +\begin{align} +S^{n+1} &= S^n - \Delta t\,\beta S^nI^n + {\color{red}\Delta t\,\gamma R^n} +label{SIR2:S}\\ +I^{n+1} &= I^n + \Delta t\,\beta S^nI^n -\Delta t\,\nu I^n +label{SIR2:I}\\ +R^{n+1} &= R^n + \Delta t\,\nu R^n - {\color{red}\Delta t\,\gamma R^n} +label{SIR2:R} +\end{align} +!et + +No complications in the computational model! + +!split +===== The effect of loss of immunity ===== + +$1/\gamma = 50$ days. $\beta$ reduced by 2 and 4 (left and right, resp.): + +FIGURE: [fig/SIR2, width=950] + +!split +===== What is the effect of vaccination? ===== + +!bblock Assumptions +A fraction $p$ of the S category, per time unit, is vaccinated with +success. Then in time $\Delta t$, $p\Delta t S$ will move to a +vaccinated category, V. This does not affect the I and R categories. +!eblock + +FIGURE: [fig/categories_SIRV, width=400 frac=0.3] + +!bt +\begin{align} +S^{n+1} &= S^n - \Delta t\,\beta S^nI^n + \Delta t\,\gamma R^n - {\color{red}p\Delta t S^n} +label{SIR3:S}\\ +V^{n+1} &= V^n + {\color{red}p\Delta t S^n} +label{SIR3:V}\\ +I^{n+1} &= I^n + \Delta t\,\beta S^nI^n -\Delta t\,\nu I^n +label{SIR3:I}\\ +R^{n+1} &= R^n + \Delta t\,\nu R^n - \Delta t\,\gamma R^n +label{SIR3:R} +\end{align} +!et + +# #if FORMAT not in ("latex", "pdflatex") +# Too much for Beamer... +Implementation: Just add array for $V^n$ and add equation. +# #endif + +!split +===== Many possibilities for adjusting the model... ===== + +The effect of vaccination decreases over time, so we may move people back to +the S category (term proportional to $\Delta t V$). + +FIGURE: [fig/categories_SIRV_feedback, width=400 frac=0.5] + + +!split +===== Effect of adding vaccination ===== + +FIGURE: [fig/SIRV1, width=800 frac=0.8] + +($p=0.0005$) + + +!split +===== What is the effect of an intensive vaccination campaign? ===== + +10 times more intense vaccination for 10 days, 6 days after outbreak: + +!bt +\begin{equation*} p(t) = \left\lbrace\begin{array}{ll} +0.005,& 6\leq t\leq 15,\\ +0,& \hbox{otherwise} \end{array}\right.\end{equation*} +!et + +Implementation: Let $p^n$ be an array as $V^n$. Set $p^n=0.05$ for +$n=6\cdot 24/0.1,\ldots, 15\cdot 24/0.1$ ($\mbox{days}\cdot 24 /\Delta t$, 24 is hours per day). + +FIGURE: [fig/p_discont, width=400 frac=0.5] + +!split +===== Effect of vaccination campaign ===== + +FIGURE: [fig/SIRV2, width=500 frac=0.6] + +Note: + + * Mathematicians would be scared by the cusps on the curves... + * Could now let the computer run a lot of cases and find the optimal + vaccination period + +!split +===== We can experiment with other campaigns ===== + +!bslidecell 00 0.3 +FIGURE: [fig/disease2.jpg, width=400] +!eslidecell + +!bslidecell 01 0.7 +Wearing masks lowers $\beta$: + +!bt +\begin{equation*} \beta(t) = \left\lbrace\begin{array}{ll} +\beta_1,& 0\leq t < 5,\\ +\beta_2 < \beta_1,& t \geq 5\end{array}\right. +\end{equation*} +!et + +Very easy to implement. (Used to be complicated in differential +equation models...) +!eslidecell + +!split +===== And now for something similar: zombification! ===== + + +FIGURE: [fig/zombie1, width=900] + +_Zombification_: The disease that turns you into a zombie. + +!split +===== Zombie modeling is almost the same as SIR modeling ===== + +!bblock Categories + o S: susceptible humans who can become zombies + o I: infected humans, being bitten by zombies + o Z: zombies + o R: removed individuals, either conquered zombies or dead humans +!eblock + +Mathematical quantities: $S(t)$, $I(t)$, $Z(t)$, $R(t)$ + +Zombie movie: *The Night of the Living Dead*, Geoerge A. Romero, 1968 + +!split +===== Dynamics of the zombie SIZR model ===== + +FIGURE: [fig/categories_SIZR, width=380 frac=0.4] + +!bpop + o Susceptibles are infected by zombies: $-\Delta t\beta SZ$ in time $\Delta t$ (cf. the $\Delta t\,\beta SI$ term in the SIR model). + o Susceptibles die naturally or get killed and then enter the removed category. The no of deaths in time $\Delta t$ is $\Delta t\delta_S S$. + o We also allow new humans to enter the area with zombies (necessary in a war on zombies): $\Delta t\Sigma$ during a time $\Delta t$. + o Some infected turn into zombies (Z): $\Delta t\rho I$, while others die (R): $\delta_I\Delta t I$. + o Nobody from R can turn into Z (important - otherwise zombies win). + o Killed zombies go to R: $\Delta t\alpha SZ$. +!epop + +!split +===== The four equations in the SIZR model for zombification ===== + +!bt +\begin{align*} +S^{n+1} &= S^n + \Delta t\,\Sigma - \Delta t\,\beta S^nZ - \Delta t\,\delta_S S^n\\ +I^{n+1} &= I^n + \Delta t\,\beta S^nZ^n - \Delta t\,\rho I^n - \Delta t\,\delta_I I^n\\ +Z^{n+1} &= Z^n + \Delta t\,\rho I^n - \Delta t\,\alpha S^nZ^n\\ +R^{n+1} &= R^n + \Delta t\,\delta_S S^n + \Delta t\,\delta_I I^n + +\Delta t\,\alpha S^nZ^n +\end{align*} +!et + +!bblock (small) Interpretation of parameters: + + * $\Sigma$: no of new humans brought into the zombified area per unit time. + * $\beta$: the probability that a theoretically possible human-zombie pair actually meets physically, during a unit time interval, with the result that the human is infected. + * $\delta_S$: the probability that a susceptible human is killed or dies, in a unit time interval. + * $\delta_I$: the probability that an infected human is killed or dies, in a unit time interval. + * $\rho$: the probability that an infected human is turned into a zombie, during a unit time interval. + * $\alpha$: the probability that, during a unit time interval, a theoretically possible human-zombie pair fights and the human kills the zombie. +!eblock + +!split +===== Simulate a zombie movie! ===== + +!bslidecell 00 0.6 +!bblock Three fundamental phases + o The initial phase (4 h) + o The hysteric phase (24 h) + o The counter attack phase (5 h) +!eblock +!eslidecell + +!bslidecell 01 0.4 +FIGURE: [fig/TNotLD, width=300] +!eslidecell + +!bpop +How do we do this? As $p$ in the vaccination campaign - the parameters +take on different constant values in different time intervals. +!epop + +!bpop +H. P. Langtangen, K.-A. Mardal and P. Røtnes: +Escaping the Zombie Threat by Mathematics, in +A. Whelan et al.: *Zombies in the Academy - Living Death in Higher Education*, +University of Chicago Press, 2013 +!epop + +!split +===== Effective war on zombies ===== + +Introduce attacks on zombies at selected times $T_0, T_1, \ldots, T_m$. + +Model: Replace $\alpha$ by + +!bt +\[ \alpha_0 + \omega (t),\] +!et +where $\alpha_0$ is constant and $\omega(t)$ is a series of +Gaussian functions (peaks) in time: + +!bt +\[ \omega(t) = a\sum_{i=0}^m \exp{\left(-\frac{1}{2}\left({t - T_i\over\sigma}\right)\right)} +\] +!et + +Must experiment with values of $a$ (strength), $\sigma$ (duration is $6\sigma$), +point of attacks ($T_i$) - with proper values humans beat the zombies! + +!split +===== Summary ===== + + * A complex spreading of diseases can be modeled by intuitive, simple + accounting of movement between categories + * Such models are knowns as *compartment models* + * Result: difference equations that are easy to simulate on a computer + * (Can let $\Delta t\rightarrow 0$ and get differential equations) + * Easy to add new effects (vaccination, campaigns, zombification) + + + + +===== Theoretical background and description of the system ===== + +The aim of this project is to simulate financial transactions among financial agents +using Monte Carlo methods. The final goal is to extract a distribution of income as function +of the income $m$. From Pareto's work ("V.~Pareto, 1897":"http://www.institutcoppet.org/2012/05/08/cours-deconomie-politique-1896-de-vilfredo-pareto") it is known from empirical studies +that the higher end of the distribution of money follows a distribution +!bt +\[ +w_m\propto m^{-1-\alpha}, +\] +!et +with $\alpha\in [1,2]$. We will here follow the analysis made by "Patriarca and collaborators":"http://www.sciencedirect.com/science/article/pii/S0378437104004327". + +Here we will study numerically the relation between the micro-dynamic relations among financial +agents and the resulting macroscopic money distribution. + +We assume we have $N$ agents that exchange money in pairs $(i,j)$. We assume also that all agents +start with the same amount of money $m_0 > 0$. At a given 'time step', we choose randomly a pair +of agents $(i,j)$ and let a transaction take place. This means that agent $i$'s money $m_i$ changes +to $m_i'$ and similarly we have $m_j\rightarrow m_j'$. +Money is conserved during a transaction, meaning that +!bt +\begin{equation} + m_i+m_j=m_i'+m_j'. + label{eq:conserve} +\end{equation} +!et +The change is done via a random reassignement (a random number) $\epsilon$, meaning that + +!bt +\begin{equation*} +m_i' = \epsilon(m_i+m_j), +\end{equation*} +!et +leading to + +!bt +\begin{equation*} +m_j'= (1-\epsilon)(m_i+m_j). +\end{equation*} +!et +The number $\epsilon$ is extracted from a uniform distribution. +In this simple model, no agents are left with a debt, that is $m\ge 0$. +Due to the conservation law above, one can show that the system relaxes toward an equilibrium +state given by a Gibbs distribution + +!bt +\begin{equation*} +w_m=\beta \exp{(-\beta m)}, +\end{equation*} +!et +with + +!bt +\begin{equation*} +\beta = \frac{1}{\langle m\rangle}, +\end{equation*} +!et +and $\langle m\rangle=\sum_i m_i/N=m_0$, the average money. +It means that after equilibrium has been reached that the majority of agents is left with a small +number of money, while the number of richest agents, those with $m$ larger than a specific value $m'$, +exponentially decreases with $m'$. + +We assume that we have $N=500$ agents. In each simulation, we need a sufficiently large number of transactions, say $10^7$. Our aim is find the final equilibrium distribution $w_m$. In order to do that we would need +several runs of the above simulations, at least $10^3-10^4$ runs (experiments). + + + + +=== Project 4a): Simulation of Transactions === +Your task is to first set up an algorithm which simulates the above transactions with an initial + amount $m_0$. + The challenge here is to figure out a Monte Carlo simulation based on the + above equations. + You will in particular need to make an algorithm which sets up a histogram as function of $m$. + This histogram contains the number of times a value $m$ is registered and represents + $w_m\Delta m$. You will need to set up a value for the interval $\Delta m$ (typically $0.01-0.05$). + That means you need to account for the number of times you register an income in the interval + $m,m+\Delta m$. The number of times you register this income, represents the value that enters the histogram. + You will also need to find a criterion for when the equilibrium situation has been reached. + +=== Project 4b): Recognizing the distribution === +Make thereafter a plot of $\log{(w_m)}$ as function of $m$ + and see if you get a straight line. + Comment the result. + +=== Project 4c): Transactions and savings === +We can then change our model to allow for a saving criterion, meaning that the agents save + a fraction $\lambda$ of the money they have before the transaction is made. The final distribution will then no longer be given by Gibbs distribution. It could also include a taxation on financial transactions. + + The conservation law of Eq. (ref{eq:conserve}) holds, but the money to be shared in a transaction between + agent $i$ and agent $j$ is now $(1-\lambda)(m_i+m_j)$. This means that we have + +!bt +\begin{equation*} + m_i' = \lambda m_i+\epsilon(1-\lambda)(m_i+m_j), + \end{equation*} +!et + and + +!bt +\begin{equation*} + m_j' = \lambda m_j+(1-\epsilon)(1-\lambda)(m_i+m_j), + \end{equation*} +!et + which can be written as + +!bt +\begin{equation*} + m_i'=m_i+\delta m + \end{equation*} +!et + and + +!bt +\begin{equation*} + m_j'=m_j-\delta m, + \end{equation*} +!et + with + +!bt +\begin{equation*} + \delta m=(1-\lambda)(\epsilon m_j-(1-\epsilon)m_i), + \end{equation*} +!et + showing how money is conserved during a transaction. + Select values of $\lambda =0.25,0.5$ and $\lambda=0.9$ and try to extract the corresponding + equilibrium distributions and compare these with the Gibbs distribution. Comment your results. +Extract a parametrization of the above curves, see for example "Patriarca and collaborators":"http://www.sciencedirect.com/science/article/pii/S0378437104004327" and see if you can parametrize the high-end tails of the distributions in terms of power laws. Comment your results. + +=== Project 4d): Nearest neighbor interactions === +In the rest of this project we will follow the work of "Goswami and Sen":"http://www.sciencedirect.com/science/article/pii/S0378437114006967". +In the studies above the agents were selected randomly, irrespective of whether we allowed for +saving or not during a transaction. What is often observed is that various agents tend to make preferences for for whom to interact with. We will now study the evolution of the distribution of wealth $w_m$ by assuming that there is a likelihood +!bt +\[ +p_{ij} \propto \vert m_i-m_j\vert^{-\alpha}, +\] +!et +for an interaction between agents $i$ and $j$ with respective wealths $m_i$ and $m_j$. The parameter $\alpha > 0$. For $\alpha=0$ we recover our model from part 5a). +Perform the same analysis as previously with $N=500$ as well as with $N=1000$ agents and study the distribution of wealth for $\alpha =0.5$, $\alpha =1.0$, $\alpha =1.5$ and $\alpha =2.0$. +You should try to reproduce Figure 1 of "Goswami and Sen":"http://www.sciencedirect.com/science/article/pii/S0378437114006967". +Extract the tail of the distribution and see if it follows a Pareto distribution +!bt +\[ +w_m\propto m^{-1-\alpha}. +\] +!et +What happens if $\alpha \gg 1$? + +Perform the analysis with and without a saving $\lambda$ on each transaction and comment your results. +=== Project 4e): Nearest neighbors and former transactions === +We add to the previous probability the possibility that two agents who interact have performed similar transactions earlier. That is, in addition to being financially close, we assume that the likelihood for interacting increases if two agents have interacted earlier. +We add this feature by modifying the previous likelihood to +!bt +\[ +p_{ij} \propto \vert m_i-m_j\vert^{-\alpha}\left(c_{ij}+1\right)^{\gamma}, +\] +!et +where $c_{ij}$ represents the number of previous interactions that have taken place between $i$ and $j$. The factor $1$ is added in order to ensure that if they have not interacted earlier they can still interact. Perform similar studies as above with $N=1000$, $\alpha=1.0$ and $\alpha=2.0$ using $\gamma = 0.0, 1.0, 2.0, 3.0$ and $4.0$. Plot the wealth distributions for these cases and try to extract eventual power law tails with and without a saving $\lambda$ in each transaction. Comment your results and compare them with figures 5 and 6 of "Goswami and Sen":"http://www.sciencedirect.com/science/article/pii/S0378437114006967". + +Finally, (this part is optional) if you have time, which features would you add to these models in order to make them even more realistic? + +===== Background literature ===== + + * "V. Pareto, Cours d'economie politique, Lausanne, 1897":"http://www.institutcoppet.org/2012/05/08/cours-deconomie-politique-1896-de-vilfredo-pareto". + + * "M. Patriarca, A. Chakraborti, K. Kaski, Physica A _340_, 334 (2004)":"http://www.sciencedirect.com/science/article/pii/S0378437104004327". + + * "S. Goswami and P. 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