{ "metadata": { "name": "Economics" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": "Economics Simulation" }, { "cell_type": "markdown", "metadata": {}, "source": "This is a simulation of an economic marketplace in which there is a *population* of actors, each of which has a level of wealth (a single number) that changes over time. On each time step two agents (chosen by an *interaction rule*) interact with each other and exchange wealth (according to a *transaction rule*). The idea is to understand the evolution of the population's wealth over time. My hazy memory is that this idea came from a class by Prof. [Sven Anderson](http://turing.bard.edu/~sven/) at Bard (any errors or misconceptions here are due to my (Peter Norvig) misunderstanding of his idea). Why this is interesting: (1) an example of using simulation to model the world. (2) Many students will have preconceptions about how economies work that will be challenged by the results shown here." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Population Distributions" }, { "cell_type": "markdown", "metadata": {}, "source": "First things first: what should our initial population look like? We will provide several distribution functions (constant, uniform, Gaussian, etc.) and a sample function, which samples *N* elements form a distribution and then normalizes them to have a given mean. By default we will have *N*=5000 actors and an initial mean wealth of 100 simoleons." }, { "cell_type": "code", "collapsed": false, "input": "import random\nimport matplotlib\nimport matplotlib.pyplot as plt\n\nN = 5000 # Default size of population\nmu = 100. # Default mean of population's wealth\n\ndef sample(distribution, N=N, mu=mu):\n \"Sample from the distribution N times, then normalize results to have mean mu.\"\n return normalize([distribution() for _ in range(N)], mu * N)\n\ndef constant(mu=mu): return mu\ndef uniform(mu=mu, width=mu): return random.uniform(mu-width/2, mu+width/2)\ndef gauss(mu=mu, sigma=mu/3): return random.gauss(mu, sigma) \ndef beta(alpha=2, beta=3): return random.betavariate(alpha, beta)\ndef pareto(alpha=4): return random.paretovariate(alpha)\n \ndef normalize(numbers, total):\n \"Scale the numbers so that they add up to total.\"\n factor = total / float(sum(numbers))\n return [x * factor for x in numbers]", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 299 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Transactions" }, { "cell_type": "markdown", "metadata": {}, "source": "In a transaction, two actors come together; they have existing wealth levels X and Y. For now we will only consider transactions that conserve wealth, so our transaction rules will decide how to split up the pot of X+Y total wealth." }, { "cell_type": "code", "collapsed": false, "input": "def random_split(X, Y):\n \"Take all the money in the pot and divide it randomly between X and Y.\"\n pot = X + Y\n m = random.uniform(0, pot)\n return m, pot - m\n \ndef winner_take_most(X, Y, most=3/4.): \n \"Give most of the money in the pot to one of the parties.\"\n pot = X + Y\n m = random.choice((most * pot, (1 - most) * pot))\n return m, pot - m\n\ndef winner_take_all(X, Y): \n \"Give all the money in the pot to one of the actors.\"\n return winner_take_most(X, Y, 1.0)\n\ndef redistribute(X, Y): \n \"Give 55% of the pot to the winner; 45% to the loser.\"\n return winner_take_most(X, Y, 0.55)\n\ndef split_half_min(X, Y):\n \"\"\"The poorer actor only wants to risk half his wealth; \n the other actor matches this; then we randomly split the pot.\"\"\"\n pot = min(X, Y)\n m = random.uniform(0, pot)\n return X - pot/2. + m, Y + pot/2. - m", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 360 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Interactions" }, { "cell_type": "markdown", "metadata": {}, "source": "How do you decide which parties interact with each other? The rule anyone samples two members of the population uniformly and independently, but there are other possible rules, like nearby(pop, k), which choses one member uniformly and then chooses a second within k index elements away, to simulate interactions within a local neighborhood." }, { "cell_type": "code", "collapsed": false, "input": "def anyone(pop): return random.sample(range(len(pop)), 2)\n\ndef nearby(pop, k=5): \n i = random.randrange(len(pop))\n j = i + random.choice((1, -1)) * random.randint(1, k)\n return i, (j % len(pop))\n \ndef nearby1(pop): return nearby(pop, 1)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 356 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Simulation" }, { "cell_type": "markdown", "metadata": {}, "source": "Now let's describe the code to run the simulation and summarize/plot the results. The function simulate does the work; it runs the interaction function to find two actors, then calls the transaction function to figure out how to split their wealth, and repeats this T times. The only other thing it does is record results. Every so-many steps, it records some summary statistics of the population (by default, this will be every 25 steps).\n\nWhat information do we record to summarize the population? Out of the N=5000 (by default) actors, we will record the wealth of exactly nine of them: the ones, in sorted-by-wealth order that occupy the 1% spot (that is, if N=5000, this would be the 50th wealthiest actor), then the 10%, 25% 1/3, and median; and then likewise from the bottom the 1%, 10%, 25% and 1/3.\n\n(Note that we record the *median*, which changes over time; the *mean* is defined to be 100 when we start, and since all transactions conserve wealth, the mean will always be 100.)\n\nWhat do we do with these results, once we have recorded them? First we print them in a table for the first time step, the last, and the middle. Then we plot them as nine lines in a plot where the y-axis is wealth and the x-axis is time (note that when the x-axis goes from 0 to 1000, and we have record_every=25, that means we have actually done 25,000 transactions, not 1000)." }, { "cell_type": "code", "collapsed": false, "input": "def simulate(population, transaction_fn, interaction_fn, T, percentiles, record_every):\n \"Run simulation for T steps; collect percentiles every 'record_every' time steps.\"\n results = []\n for t in range(T):\n i, j = interaction_fn(population)\n population[i], population[j] = transaction_fn(population[i], population[j]) \n if t % record_every == 0:\n results.append(record_percentiles(population, percentiles))\n return results\n\ndef report(distribution=gauss, transaction_fn=random_split, interaction_fn=anyone, N=N, mu=mu, T=5*N, \n percentiles=(1, 10, 25, 33.3, 50, -33.3, -25, -10, -1), record_every=25):\n \"Print and plot the results of the simulation running T steps.\" \n # Run simulation\n population = sample(distribution, N, mu)\n results = simulate(population, transaction_fn, interaction_fn, T, percentiles, record_every)\n # Print summary\n print('Simulation: {} * {}(mu={}) for T={} steps with {} doing {}:\\n'.format(\n N, name(distribution), mu, T, name(interaction_fn), name(transaction_fn)))\n fmt = '{:6}' + '{:10.2f} ' * len(percentiles)\n print(('{:6}' + '{:>10} ' * len(percentiles)).format('', *map(percentile_name, percentiles)))\n for (label, nums) in [('start', results[0]), ('mid', results[len(results)//2]), ('final', results[-1])]:\n print fmt.format(label, *nums)\n # Plot results\n for line in zip(*results):\n plt.plot(line)\n plt.show()\n\ndef record_percentiles(population, percentiles):\n \"Pick out the percentiles from population.\"\n population = sorted(population, reverse=True)\n N = len(population)\n return [population[int(p*N/100.)] for p in percentiles]\n\ndef percentile_name(p):\n return ('median' if p == 50 else \n '{} {}%'.format(('top' if p > 0 else 'bot'), abs(p)))\n \ndef name(obj):\n return getattr(obj, '__name__', str(obj))\n", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 368 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Simulations Results" }, { "cell_type": "markdown", "metadata": {}, "source": "Finally, let's run a simulation!" }, { "cell_type": "code", "collapsed": false, "input": "report(gauss, random_split)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 177.13 141.87 123.07 114.48 100.18 85.87 77.55 56.98 20.87 \nmid 411.63 221.87 139.95 114.71 74.20 45.50 32.80 12.13 1.16 \nfinal 447.98 228.06 140.54 111.17 69.66 40.74 28.77 10.84 1.29 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+/j4+NQZfuD38fHxqTP+H53qcQo61SQ/AAAAAElFTkSuQmCC\n" } ], "prompt_number": 369 }, { "cell_type": "markdown", "metadata": {}, "source": "How do we interpret this? Well, we can see the mass of wealth spreading out: the rish get richer and the poor get poorer. We know the rich get richer because the blue and green lines (top 10% and top 1%) are going up: the actor in the 1% position (the guy with the least money out of the 1%, or to put it another way, the most money out of the 99%) starts with 177.13 and ends up with 447.98 (note this is not necessarily the same guy, just the guy who ends up in that position). The guy at the 10% spot also gets richer, going from 141.87 to 228.06. The 25% and 33% marks stay roughly flat, but everyone else gets poorer! The median actor loses 30% of his wealth, and the bottom 1% actor loses almost 95% of his wealth." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Effect of Starting Population" }, { "cell_type": "markdown", "metadata": {}, "source": "Now let's see if the starting population makes any difference. My vague impression is that we're dealing with ergodic Markov chains and it doesn't much matter what state you start in. But let's see:" }, { "cell_type": "code", "collapsed": false, "input": "report(uniform, random_split)\nreport(beta, random_split)\nreport(pareto, random_split)\nreport(constant, random_split)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * uniform(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 149.34 140.15 125.30 117.02 99.77 83.05 74.46 59.76 51.09 \nmid 411.50 224.90 140.78 114.67 74.63 45.26 32.23 12.32 1.19 \nfinal 452.55 224.37 140.10 111.70 72.22 41.30 29.02 10.15 0.97 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * beta(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 216.56 169.28 135.63 121.32 96.21 74.52 61.30 35.51 11.25 \nmid 428.48 221.72 141.16 113.06 74.22 44.32 31.43 11.15 1.32 \nfinal 444.30 229.18 139.71 111.27 70.48 41.29 29.25 11.19 0.95 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * pareto(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 233.06 134.23 106.16 98.62 88.98 82.95 80.69 76.99 75.07 \nmid 405.27 219.39 140.12 114.21 76.42 46.14 33.19 12.38 1.05 \nfinal 456.02 229.86 138.44 110.59 70.45 41.43 28.62 10.39 1.08 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * constant(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 \nmid 399.48 218.92 143.25 116.62 75.67 45.47 31.75 12.09 1.58 \nfinal 432.62 232.54 140.34 110.91 70.88 41.38 30.11 11.01 0.97 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+AMCAgLmGf8L5Iuy5OGghoAAAAAASUVORK5CYII=\n" } ], "prompt_number": 376 }, { "cell_type": "markdown", "metadata": {}, "source": "It looks like we can confirm that the starting population doesn't matter much—if we are using the random_split rule then in the end, wealth accumulates to the top third at the expense of the bottom two-thirds, regardless of starting population." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Effect of Transaction Rule" }, { "cell_type": "markdown", "metadata": {}, "source": "Now let's see what happens when we vary the transaction rule. The random_split rule produces inequality: the actor at the bottom quarter of the population has only about a third of the mean wealth, and the actor at the top 1% spot has 4.5 times the mean.\nSuppose we want a society with more income equality. We could use the split_half_min rule, in which each transaction has a throttle in that the poorer party only risks half of their remaining wealth. Or we could use the redistribute rule, in which the loser of a transaction still gets 45% of the total (meaning the loser will actually gain in many transactions). Let's see what effects these rules have. In analyzing these plots, note that they have different Y-axes." }, { "cell_type": "code", "collapsed": false, "input": "report(gauss, random_split)\nreport(gauss, redistribute)\nreport(gauss, split_half_min)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 176.83 142.52 123.30 114.87 100.34 84.89 77.03 57.48 20.69 \nmid 397.50 224.36 141.36 114.86 73.78 45.44 32.89 11.94 1.41 \nfinal 443.51 228.02 139.65 111.89 71.17 42.30 29.84 10.92 1.53 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFxcXl3HG/wes2imk5oX4yQAAAABJRU5ErkJggg==\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing redistribute:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 178.43 142.71 122.02 114.10 99.72 85.78 77.43 57.60 23.46 \nmid 141.66 121.81 110.79 106.43 98.89 91.64 88.19 79.96 65.28 \nfinal 134.38 119.82 110.18 105.78 98.81 92.49 89.14 82.07 72.51 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMZT4CSHExFDiJ4QQE/P/kOqN1v6hMIsAAAAASUVORK5CYII=\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing split_half_min:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 179.22 142.88 122.64 114.48 100.49 85.23 76.89 57.61 20.20 \nmid 277.50 184.92 137.30 120.01 89.51 64.45 52.42 29.22 8.80 \nfinal 325.56 211.06 144.15 119.62 80.44 51.06 38.69 17.50 3.98 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 371 }, { "cell_type": "markdown", "metadata": {}, "source": "We see that the redistribute rule is very effective in reducing income inequality: the lines of the plot all converge towards the mean of 100 instead of diverging. With the split_half_min rule, inequality increases at a rate about half as fast as random_split. However, the split_half_min plot looks like it hasn't converged yet (whereas all the other plots reach convergence at about the 500 mark). Let's try running split_half_min 10 times longer:" }, { "cell_type": "code", "collapsed": false, "input": "report(gauss, split_half_min, T=50*N)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=250000 steps with anyone doing split_half_min:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 179.49 142.66 122.22 113.85 99.91 85.38 77.50 57.61 22.80 \nmid 695.22 305.73 128.25 80.00 31.85 11.42 5.69 1.11 0.05 \nfinal 980.29 330.54 90.61 43.87 10.60 2.15 0.77 0.07 0.00 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAD9CAYAAABX0LttAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8OHDh48x8MnBhw8fPnyMwf8DMFG9GcTi4PEAAAAASUVORK5CYII=\n" } ], "prompt_number": 372 }, { "cell_type": "markdown", "metadata": {}, "source": "It looks like split_half_min *still* hasn't converged, and is continuing to (slowly) drive wealth to the top 10%.\n\nNow let's shift gears: suppose that we don't care about decreasing income inequality; instead we want to increase opportunity for some actors to become wealthier. We can try the winner_take_most or winner_take_all rules (compared to the baseline random_split):" }, { "cell_type": "code", "collapsed": false, "input": "report(gauss, random_split)\nreport(gauss, winner_take_most)\nreport(gauss, winner_take_all)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 179.15 142.41 122.16 115.14 99.60 85.68 77.36 57.15 22.66 \nmid 391.59 220.50 142.05 117.68 76.85 45.21 33.11 12.83 1.10 \nfinal 458.68 231.19 139.85 109.79 69.74 41.12 28.40 10.73 1.15 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngYMCw/8DqQ3RJNXymnsAAAAASUVORK5CYII=\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing winner_take_most:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 178.63 142.45 123.04 114.70 99.82 85.52 77.20 56.57 22.87 \nmid 350.29 210.58 135.68 110.43 75.48 53.93 43.55 26.96 14.01 \nfinal 368.07 216.06 131.68 106.61 74.65 51.83 41.93 25.97 12.12 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwqI/oFC03QIAAAAASUVORK5CYII=\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing winner_take_all:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 176.20 144.07 122.86 114.32 99.70 85.47 77.00 56.55 21.64 \nmid 1058.80 358.07 91.22 0.00 0.00 0.00 0.00 0.00 0.00 \nfinal 1655.55 307.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAD9CAYAAAC85wBuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" } ], "prompt_number": 373 }, { "cell_type": "markdown", "metadata": {}, "source": "We see that the winner_take_most rule, in which the winner of a transaction takes 3/4 of the pot, does not increase the opportunity for wealth as much as random_split, but that winner_take_all is very effective at concentrating almost all the wealth in the hands of the top 10%, and makes the top 1% 4 times as wealthy as random_split.\n\nThat suggests we look at where the breaking point is. Let's consider several different amounts for what winner takes:" }, { "cell_type": "code", "collapsed": false, "input": "def winner_take_80(X, Y): return winner_take_most(X, Y, 0.80)\ndef winner_take_90(X, Y): return winner_take_most(X, Y, 0.90)\ndef winner_take_95(X, Y): return winner_take_most(X, Y, 0.95)\n\nreport(gauss, winner_take_80)\nreport(gauss, winner_take_90)\nreport(gauss, winner_take_95)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing winner_take_80:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 181.52 142.83 121.99 114.49 99.42 84.84 76.82 56.83 23.19 \nmid 425.14 240.72 135.19 101.46 64.98 42.87 33.22 17.22 6.99 \nfinal 478.41 251.16 126.46 97.69 61.18 38.04 28.47 15.49 6.29 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niCrD/wP9dCy2NeVdaAAAAABJRU5ErkJggg==\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing winner_take_90:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 177.39 142.90 123.46 115.39 100.39 85.71 77.49 55.82 25.07 \nmid 680.75 312.72 114.75 69.06 36.13 17.88 11.36 4.41 1.04 \nfinal 839.35 311.05 95.08 65.70 31.85 13.24 8.69 3.28 0.66 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing winner_take_95:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 177.80 142.69 121.76 113.88 100.17 85.20 77.64 58.08 23.10 \nmid 806.09 339.73 112.24 43.93 19.07 8.56 4.66 1.07 0.14 \nfinal 1061.58 323.33 59.14 37.67 15.58 4.43 2.45 0.78 0.09 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAD9CAYAAAC85wBuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEhCEEEIESUAQQggBwP8PiTGcA+Ibk7oAAAAASUVORK5CYII=\n" } ], "prompt_number": 375 }, { "cell_type": "markdown", "metadata": {}, "source": "We see that winner takes 80% produces results similar to random_split, and that winner takes 95% is similar to winner takes all for the top 10%, but is much kinder to the bottom 75%." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Effect of Interactions" }, { "cell_type": "markdown", "metadata": {}, "source": "Suppose that transactions are constrained to be *local*; that you can only do business with your close neighbors. Will that make income more equitable, because there will be no large, global conglomorates? Let's see:" }, { "cell_type": "code", "collapsed": false, "input": "report(gauss, random_split, anyone)\nreport(gauss, random_split, nearby)\nreport(gauss, random_split, nearby1)", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with anyone doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 177.73 142.78 122.06 114.12 100.05 85.83 78.13 56.99 23.92 \nmid 406.19 218.91 141.11 115.21 74.91 44.09 32.03 12.66 1.05 \nfinal 448.86 229.76 137.90 110.64 71.69 41.12 28.10 10.15 0.97 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with nearby doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 175.29 142.11 123.32 115.58 100.02 85.23 77.28 56.46 22.99 \nmid 392.89 220.22 142.93 115.24 75.46 44.72 33.64 12.54 1.41 \nfinal 417.99 227.64 140.53 112.70 72.89 43.47 30.52 11.79 1.09 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VdW5+P/P2WfMSU4mEhIghEkICTIEJIlaEbG2FEux\nttXaL2qL2t54rRWFDr96Lbb3qxfrt17gVsXeUrWW1tmKVUHQKDgkKBBRAcEEEyAhZCLnJGfaw++P\n5ySgYBgMGdf79TqvnHHvtXfOedZaz157bZtlWRaKoijKgKH1dAEURVGU7qUCv6IoygCjAr+iKMoA\nowK/oijKAKMCv6IoygCjAr+iKMoAc1KB3zAM8vPzmTt3LgBLliwhKyuL/Px88vPzeemllzreu3z5\ncsaOHUteXh6bNm06M6VWFEVRTpvjZN60bNky8vLy8Pv9ANhsNm699VZuvfXWz7yvrq6O+++/nw0b\nNlBZWcnNN9/Mli1bur7UiqIoymk7YYt/3759vPjii1x//fW0n+tlWRbHO++rtLSU2bNnk52dzYUX\nXohlWR2VhaIoitI7nDDwL1y4kN///vdo2pG32mw2VqxYQVFREUuXLu0I7mVlZeTm5na8Lycnh7Ky\nsjNQbEVRFOV0dZrqeeGFFxg8eDD5+fmUlJR0PF9cXMwdd9xBS0sLixcvZuXKlSxatOi4vQCbzXZS\nzymKoign1iWz7Fid+NWvfmVlZWVZI0eOtDIzMy2v12tdffXVn3nPtm3brPPOO8+yLMt6/vnnrZtv\nvrnjtcmTJ1stLS3HLPcEqx1QfvOb3/R0EXoNtS+OUPviCLUvjuiq2Nlpqueuu+6iurqayspK/vGP\nfzBr1iweffRRampqANB1ndWrVzNnzhwACgoKWLt2LVVVVZSUlKBpGj6f78vXToqiKEqXOalRPSDd\ni/YUzc9//nPKy8txuVzMmDGD4uJiADIyMiguLmbWrFm4XC5Wrlx5ZkqtKIqinDZbrPvQvSu12bom\nT9UPlJSUMHPmzJ4uRq+g9sURal8cofbFEV0VO1XgVxRF6SO6KnaqKRsURVEGGBX4FUVRBpiTPrir\nKIryZbz8MuzdC9u3Q0EBXHvt6S/n0UchMRHq6uS5oUPh8svBZoNBg2DSpC4rdr+kcvyKopxx+/bB\n2WfD978Phw7BM8/AT38K48fDuefCsGFgWfDGG3DOOZCRIUE8Lu6zy3n/ffj61yE/H8rK4KGH5HPP\nPw9VVfKe3bthxAi47TapDPoTdXBXUZQ+46qrYORIuPtuebxjBzzwADQ3wyuvgGFIAK+vh8sug3ff\nhfh4+OMfYepUSEmBSARGj4Z774Urr5T3a8dJVodCsHw53HcfPP44zJjRrZt6RqnAryhKn2BZkJAA\n1dWQmtr5e6uq4PrrYdo0CATgxRfhmmskfbNoEVx6KTz99Mmt9z//E+65B95+GyZM+PLb0RuowK8o\nSp9w4ICkZg4ePPXP/vGP8OGHEI1KqujmmyUFdDJMUyqNGTPghhtkGS7XqZfhTNmwAWbNOvntATWc\nU1GUM+DNNyXHXlt77GtvvCG5+VONOx98AGPGnF55Bg+WA7gHD0re/lSCpKbJQeStW+F//gfcbti4\nEbZsOfVt6GqlpfDVr0rZeoJq8StKP/XDH8KoUfCb38CqVTIa5l//goYGOaAaCMDq1TB5MhQVQUuL\nHHhtaZE8+7PPHllWRYXk1d99FxYvlhRKZ/bvh48+klb2pZfCzJnw2munvg2vvy5lsdkk7VNUdGqf\nf+MNae2npsKuXRLw/X74xS+kgmtrg9ZWeX7ECLDbYcoUSE8/tfVYFjz88JGD1e0aG+Evf4G5c6H9\nQoW7dsFTT0FTk7z///wfef4735HjIB98IPtv3z74xjcgOxt0Xd7jcqlUj6IonbDZpKW9Z48Euffe\nk+dffRV+8hMoLITp0+GSSyQ4L10KV1wB3/uejIxpb40ePgzJyXL/nXck+NbWysibL3LFFVBeDh9/\nLI9ff/30DrI2N8Ott0oQ/Mc/TnyM4POCQfjlLyVwzp0rlcfs2XD//eBwyKih+Hg5uLxvn1QKkQj8\n6Efy+fh4ef/Qoccu+623ZJ+mpEiA/+UvJUjv3Cmv19bCj38sKR3ThLFjpQL0euU4xpgxsGyZvK+m\nBh57THop7UF+7lxYs0bWv25d+2sq8CvKgLV3rwT0aPTIbcgQOO88OYi6a5cE9GHD4Fe/giVLZMQM\nyIHTYcPgooskAOblSbB7+GEJ5v/933DLLdJCnzlTKoqLL5ZUSSgk90eOlJbtD38oARQkaL7zjqSL\n/vhHWLtW1vX++zBxYk/spVMXicDvficVDkhwT06G9euPTTMVFsooo3/8Qx6vWSPnJnzwgRzM/trX\nwOOB3/5WKr1rr5V9fCr++lfpef35z1LBqIO7itLPrFsnXfwf/ECC7JNPSnrANCWVYFlH7q9bJycp\nOZ1HbiUl0jpcv15SCNOny7DJuDgIh6U1Om6crOP735fHK1dCUpK04s85B/72N0kvPPqoDL285BJZ\nRkYG/Md/SMVSViZBD+DCC6US0XV47jlpGX/nO5CbCwsWSFkuvvj4wy77gupq2U9nnSUVK8j+tCw5\nXnDokOwXhwN+/3s5x2DGDNl/aWmy/XFxks757nfh29/+cuVRgV9R+pnMTGnV+XwykqWtTVrkHo+0\nNm02CaA2mwSjz6dOtm6VvPrQodKa/7LWrZPApmnwrW9J2qPdJ59Iud54QyojkCGTU6Z8+fX2Np98\nIpVlu7VrZXTQZZfJ8ZGjbdokLfwLLpAKoaupwK8o/UBFhaRUWlrg17+WceybNknKITFRWvCK0q5b\nA79hGJxzzjlkZWWxZs0a/H4/8+fPZ+vWrUydOpXHHnuMhIQEAJYvX86KFStwOp089NBDfOUrXzlj\nhVeUvmr9enjiCWlRNzXJwU/o+WGGSu/WreP4ly1bRl5eXscVuB544AGys7PZvXs3WVlZPPjggwDU\n1dVx//33s2HDBh544AFuvvnmL11ARemPbrpJDs7+85+SzrniCsmNK0p3OGHg37dvHy+++CLXX399\nR01TVlbGddddh9vtZsGCBZSWlgJQWlrK7Nmzyc7O5sILL8SyLPx+/5ndAkXpYx5/XIYOrl8vww3z\n8uS5p57q6ZIpA8UJA//ChQv5/e9/j3bUYfnNmzczfvx4AMaPH09ZWRkggT83N7fjfTk5OR2vKcpA\nFgjAtm0yQmblSsnna5qM3lGU7tbpfPwvvPACgwcPJj8/n5KSko7nTyXHZPuCc6yXLFnScX/mzJnq\nmppKv3bzzXIGJ8iY9uuv79nyKH1DSUnJZ2JvV+k08L/11ls8//zzvPjii4RCIVpaWrj66quZPn06\nO3bsID8/nx07djB9+nQACgsLWb9+fcfnd+7c2fHa5x0d+BWlP/vb3+Qkn+pqGRb5zDOnPiWAMjB9\nvlF85513dslyO0313HXXXVRXV1NZWck//vEPZs2axV//+lcKCwtZtWoVwWCQVatWURSbQKOgoIC1\na9dSVVVFSUkJmqbh8/m6pKCK0lf9859w552QlSUThI0c2dMlUga6U7r0Ynvapri4mPnz55OTk8PU\nqVNZunQpABkZGRQXFzNr1ixcLhcrV67s+hIrymnQdTmQ2t4OCQTkYGp5uYyZj0Yl/56SIqfhRyJy\nFubu3fLe22+XszP/+7/l+aMOZXWquVkC/89/fua2TVFOlTqBSxkQ7rlHZmQ0TZni95prZLrfH/xA\nJs1yOqVFXlcnk5ItXCifS0yUuVr+939h+HAJ+L/4BfzXf3W+Pl2XiuKxx+RMzg8/lHUoypfRVbFT\nXWxdGRCiUfn7+OMy8+K4cTIB19HTEBytPfB/73syBcI118jj1FQZndOZt9+WOW1uuAH+9CdYsUIF\nfaV36aNTJynKqQkE5G9JCfz7v0uK54uCfruvfEVa+r/9rUybW1MjM02+9570GtqnzwWZtbK9ctm+\nXSbm+tOfZAKzH//4jGySopw2FfiVAaGuTv6++qpccONEvv/9I3OyH23oUEn3ZGZC7IR17rxTAn37\nzIu33CKVBcDPfta7LvenKKBy/Eo/tX8/PPCAXFHJ65X56K+4Qs6YvfdeuQbsl3HvvbKO++6Db35T\npi++5x6ZdM3rlWmQLUvy/KdyuUBF6YzK8Su9SiQil/QbMuRIyqO789q6LrNbglwe8Jlnjrz26qtd\nM1VxuxEjZJK1Vask/fOf/ykHfR98UF5zqF+W0oupVI/SJW6/XdIgO3bIhTy+9rXuWW8gIJeoO+88\nCbhFRXJJO6dTWuOvvipl6+oTw88/X+Zi37RJ1p+bK1e6evttldNXej+V6lG+tKYmCbqWJVceuvxy\neb79wta/+Y1c9PunPz3+5//2N5l3ftCg478eCslFP9qZplQwP/yhXK80N1dG0DQ0SNCtrj65PL6i\n9DUq1aN0u82b5Vqi7Scv1dfL9VXfeUeuCDVzplyv1O2W1M+998rJSzabpEBCIZg3TyqDmhq5AEl8\nvHwG5NJ0DgcUF8vl/d57TyqPxx+X4ZSaJpfz+8tf5PqmP/qRBPysLDm42k4FfUXpnGrxKyfFsuRE\nJqcTFi2S5559Vg6epqfDjTfC2WfL2PizzpKzYnftgksvldsnn8hJT88/LydFtbTIAdYRI+DKK6WC\nuPxyOVP2vvukUlmyRCqVG26AF16QIZhbtsiZs08+eeQsXEUZKNSlF5Vus3OnBObly2WY4u7d8nx8\nvFQCR7e2T+SZZyQf/+qrctbs8ezaJXPV//u/f/b5aFRa//Pnn952KEpfpwK/0i1KSuTg5bx5cnFv\ndeBSUXqOyvErZ9yjj8Jtt8l4eNXKVpT+Q7X4lS/0jW9Ia//GG3u6JIqiQDdfbF0ZeH73O3j5ZUnx\nKIrSv6jAP8CUlMDFF8v91FQoLIQpU2SIZbuf/QzuuAMeeUQmGVMUpX9RgX+A+ec/ZURNa6uceFVW\nJidEffTRkfcsXy5/R4/umTIqinJmdRr4Q6EQhYWFTJkyhaKiIu677z5ArpeblZVFfn4++fn5vPTS\nSx2fWb58OWPHjiUvL49Nmzad2dIrJy0UkqmEW1vl8datR16bNEmmGvjzn2XMfTvV2leU/umEB3fb\n2trwer2Ew2GmTZvGs88+y+rVq/H5fNx6662feW9dXR0zZsxg3bp1VFZWsnDhQrZs2XLsStXB3W6z\nYYO04J9/XlI7DodMUTx4sPydN09SO+1XorrrLkhKkikSLrxQzSypKL1Jtw3n9Hq9AAQCAXRdx+12\nAxx35aWlpcyePZvs7Gyys7OxLAu/368uuN6NAgF4+GH49FM52/bPf4a0NJne4KGHvnjWyJqabi2m\noig96IQ5ftM0mTx5MhkZGdx0001kZ2cDsGLFCoqKili6dCn+2JHBsrIyco+6CnVOTg5lZWVnqOjK\n8fzP/8Dvfy/TKGRkwNNPy5m2q1apqYIVRREnDAWaplFeXs7evXuZM2cO559/PsXFxdxxxx20tLSw\nePFiVq5cyaJFi47bC7B9Qa5gyZIlHfdnzpzJzK6eN3cACYVkhkvTlKmBX35Z5rNRFKVvKykpoaSk\npMuXe0oncC1atIizzjqLf/u3f+t4rry8nBtvvJE333yTNWvWsH79epYtWwbAlClT2Lhx4zGpHpXj\nP32WJYG+tRUMQ+bRmTdPRuDU1cEvfwk33dTTpVQU5UzolhO46uvraW5uBqChoYF169Yxb948amIJ\nYV3XWb16NXPmzAGgoKCAtWvXUlVVRUlJCZqmqfx+FwmFZPZKTZODsEOHymyYixbBz38us1bu26eC\nvqIoJ9ZpqqempoZrr70WwzDIzMxk0aJFDBkyhGuuuYZt27bhcrmYMWMGxcXFAGRkZFBcXMysWbNw\nuVysXLmyWzZiIPjnP2HvXjh8WKY1PnhQ7o8b19MlUxSlr1Fz9fQBoZBMffzLX8Ldd/d0aRRF6Slq\nds4B4NNPZUTOunXyuP3kK0VRlC9Dtfh7qUOHYPhwmD5dLi1os0lrX11WUFEGLnUhlj7KsqC5WQK5\nwyFnyJqmtObdbknpPPMMvPii5PQ3bOjpEiuK0luoVE8f9eCDsHCh3A+HZXoEw5Br1x4+LM8PGwbX\nXgtXX91z5VQUpf9SLf4zSNelNe9yyeNAQKZOuOQSWLBAXmtokJZ/errMlLltG1x/vQzbVBRFOZpK\n9fQBl18OlZVHZsKcMQMaG2UahZycni2boih9jwr8fUD7bBV//asE/wcfhPp6yeMriqKcKnXpxV5O\n1+Xv4MFwyy0yJfKf/6yCvqIoPU8d3D1DHn5YLmlYXQ0TJ8Kvf93TJVIURRGqxX8GmCa88QZcc43M\nc6+GZCqK0puowN/FGhrgyislrz94MDidaoSOoii9i0r1dLHzz5d8fnExXHxxT5dGURTlWCrwd6Gd\nO2HXLplULXaFSkVRlF5HJSG60J/+BJdeqoK+oii9m2rxd5HGRgn8Tz3V0yVRFEXpnAr8XeDgQbj3\nXjjnHJg1q6dLoyiK0rlOUz2hUIjCwkKmTJlCUVER9913HwB+v5958+aRnZ3NZZddRiAQ6PjM8uXL\nGTt2LHl5eWzatOnMlr6bhUIyLr+sDB55BKZNg3PPhbFjJfD/9rcy746iKEpvdsIpG9ra2vB6vYTD\nYaZNm8azzz7Ls88+S3V1Nffeey+33XYbI0eOZNGiRdTV1TFjxgzWrVtHZWUlCxcuZMuWLceutA9O\n2fCXv8jEaklJMGoU+Hzws5/JBGzp6VIJOJ09XUpFUfqzbpuW2ev1AhAIBNB1HbfbTVlZGbfffjtu\nt5sFCxZwd+x6gKWlpcyePZvs7Gyys7OxLAu/39/nL7iu6zI887vflTx+cnJPl0hRFOX0nXBUj2ma\nTJ48mYyMDG666Says7PZvHkz48ePB2D8+PGUlZUBEvhzc3M7PpuTk9PxWl9WViazaT75pAr6iqL0\nfSds8WuaRnl5OXv37mXOnDmcf/75p9TVsLVPUfk5S5Ys6bg/c+ZMZs6cedLL7G6PPgrf/GZPl0JR\nlIGmpKSEkpKSLl/uSR+KHDlyJHPmzKG0tJTp06ezY8cO8vPz2bFjB9OnTwegsLCQ9evXd3xm586d\nHa993tGBvzdraIB//AMqKnq6JIqiDDSfbxTfeeedXbLcTlM99fX1NDc3A9DQ0MC6deuYN28ehYWF\nrFq1imAwyKpVqygqKgKgoKCAtWvXUlVVRUlJCZqm9fn8/mOPwZw5Mg2DoihKf9Bpi7+mpoZrr70W\nwzDIzMxk0aJFDBkyhOLiYubPn09OTg5Tp05l6dKlAGRkZFBcXMysWbNwuVysXLmyWzbiTHrwQTmg\nqyiK0l+oK3B9gZoa+OgjmYKhtVUuhq4oitKTum0450B04IBcPGXUKFi0SAV9RVH6F9XiP46vfQ1y\nc2HZsp4uiaIoyhGqxX8G+P2wfj2UlsKaNT1dGkVRlDNDBf6jFBVBSgosXaqmVlYUpf8a0IH/X/+C\nHTvkEonBoBzQ/eAD+IJzzhRFUfqFARv433gDrrpKxugHAnD4MCxZooK+oij934A6uGsY8NZb8Pe/\nw9NPwy9+Abfe2u3FUBRFOS3q4O5p+NnP4KGHIC0NysshM7OnS6QoitL9+mXgtyy46SZ49VUYMQKm\nToWSEti2TW55eT1dQkVRlJ7Tr1I9lgV790oq56GH4De/gaYmeP99mDcPJk2CMWO6fLWKoijdQqV6\njmP9ejn5CqCyEkaO7NHiKIqi9Er9psXv98O3vgWbN8vcOr34xGBFUZTT0lWx84RX4OorXnhB8viX\nXw7RaE+XRlEUpffq0y3+fftkdE40CnfdBdnZsHw5DB3aBYVUFEXpZboqdvbZwL9nD5x3HkyZAnFx\nMGwY/PznKq+vKEr/NeAP7j75pJx1+/DDPV0SRVGUvqXTHH91dTUXXXQREyZMYObMmaxevRqQ6+Vm\nZWWRn59Pfn4+L730Usdnli9fztixY8nLy2PTpk1npNBPPAH33Qc33HBGFq8oitKvdZrqqa2tpba2\nlilTplBfX09BQQHl5eX84Q9/wOfzcevn5juoq6tjxowZrFu3jsrKShYuXMiWLVuOXemX7K5ceKGM\n4LntttNehKIoSp/TLamezMxMMmPzGqSlpTFhwgQ2b94McNyVl5aWMnv2bLKzs8nOzsayLPx+f5de\ncP1//keGbD7+eJctUlEUZUA56eGce/bs4cMPP6SwsBCAFStWUFRUxNKlS/H7/QCUlZWRm5vb8Zmc\nnBzKysq6tMDLlsHf/qbm2VEURTldJ3Vw1+/3c+WVV3LfffcRHx9PcXExd9xxBy0tLSxevJiVK1ey\naNGi4/YCbF8wz/GSJUs67s+cOZOZM2eesBxvvCEnas2bdzKlVhRF6dtKSkooKSnp8uWecDhnNBrl\n0ksvZc6cOdxyyy3HvF5eXs6NN97Im2++yZo1a1i/fj3LYhernTJlChs3bjwm1XM6eaq2NoiPhz/8\nARYuPKWPKoqi9AvdcuauZVlcd911nH322Z8J+jU1NQDous7q1auZM2cOAAUFBaxdu5aqqipKSkrQ\nNK3L8vtr1kBBgQr6iqIoX1anqZ4333yTxx57jEmTJpGfnw/AXXfdxd///ne2bduGy+VixowZFBcX\nA5CRkUFxcTGzZs3C5XKxcuXKLilkUxN8//tw1KhRRVEU5TT1iTN3f/lL2LkTnnvuDBZKURSllxsw\nZ+7edx+sWgXHOR1AURRFOQ29usV/6BCcdRa89ppcRUtRFGUgGxDTMj//vFxYRQV9RVGUrtNrW/zt\nwzf/+U+ZnkFRFGWg6/c5/qefhvPPV0FfUZT+IRAJsPHTjWyt3UpFUwVep5ePDn2Ez+1j8XmLGZ44\nnF9t+BWFwwoZnzaeS8ZccsbK0isD//79cM018PLLPV0SRVGUL3ao9RCJ7kTcDjcVTRUcDh3mnrfu\nYXfDbuJd8eSm5bKtdhu1gVo+PfwpQxKGkJmQyfnZ57O3eS/fzfsujcFGvrLqK1hIS/6ZHc8Q1IPk\npefRFGxifNp4ElwJpMaldlm5e2Wq5557YPdu+NOfurFQitLL+cN+KpoqqGiq4Gtjvka8K76ni/Sl\nWZaFbupoNg27Zv/C97SEW6huqaYx2Ig/7KfqcBWfNH2Cbuqcm3UuEzMm8uyOZ5mUMYndjbu5e9Pd\nVN1SRZwz7pjlNQWbeKXiFTZUbuCZHc8Q0kM4NAc/LfgpI5JGEOeMo3BYIaNTRrOxaiMjkkawt3kv\n9W31vFLxCk/veJrF5y1m9fbVlB8sP2b5txTdwvcnfJ+y/WWsr1zPrUW3kh6fzuiU0Xgcni/cF6Zl\notnksGtDWwM1gRosy+Jg60FaI600BBu4bup1/fMKXOXlMHeuzLlfVNTNBVOUXsSyLJ7e8TTvHniX\nlnALD7z7AOnedJI8SRxqPYSFhdfpZUL6BIb4huC2u7HZbNiwMX/SfILRIEmeJDLiM7DZbIxMHgmA\nbuoYpoHT7qTqcBXVh6upaKpgT9MepmZO5bLxl31mjq3aQC0763cy1DcUr9PLuk/WEYgESI1L5Zvj\nvsmWmi14HB5SPCnkpOWg2TT8YZm40a7Z2VCxgQP+A2g2jTGpY6gN1LKjfgcfHfqIZ3Y8g0NzoJs6\nad40pg+dzrSh04gaUaJmlL9s/QujU0azs34nw5OG47a7yUzIJM4ZR156HknuJDZUbmBrzVbOSj2L\nQCTAOUPPYe0nazEtk+e//zzTh03HtEze+PQNHv/wcV74+AXGp41n4uCJzB03l/wh+exu2M3D5Q8T\njAZpDjXz7M5ncWpOshKzqDpcxeiU0UwYPIGhvqFkJ2az37+flnALkzImcVPBTazds5aJGRPJTsru\nCN5nQr+89GIwCBMnws9+Bj/9aXeXShmogtEg9W31DE8a3un7dFNn46cbGeQdRHOomYgRwbRMmoJN\nNIeacWgO3A43Q31DGZ0ymoqmCkJ6CKfmxO1w886+d6T1GmlBs2m0RlpJdCfic/lwaA7smh3DNAjq\nQVrCLYT0EM/seIbrp14PwLfHf5sJgydgmAbP7XyOoqwiTMvkzeo3CethIkYEgPq2epaXLac2UMu4\nQeP4uOFjAL6b912qD1dTur8UgDhHHKlxqSS6E8lOymbcoHG8vOdlNJvG5MzJtIRbqGut46NDHzFx\n8ETKD5aT4Erg7MFnMz5tPFtqtlBeW860odMIRqXMVYercDvchPUwAG6Hm4JhBYxNHYthGWw/uJ1B\n3kGMTxvP5IzJfH3M1xniG0Jdax2VTZW8V/Me9W31ODUnTruTFE8KDcEGbpx+IwmuhJP+n1qWxaPl\nj/L/vfr/ccB/AIfmIDspm/mT5jN33FzOGXpOp58P62F0U8fr9HY890UTTnanfhn4//pXeOQReOUV\n6AX7WOnD2lvLz+18jq21W2kMNnJu1rm0RdtoDjV35FOdmpMD/gNUNlcyfeh0GoONDE8azscNHzMo\nbhA+t48xKWNIiUuhvLaczQc247K7SHAlMDplNP6wnzGpY0jxpKCbOiE9xH7/ft7Z9w6TMiaR7Enu\nCIhzxs4h3hlPujedPU17cNvdpMen82nzpwzyDupoxQ/zDaOyuZLdDbtZNnsZF4266LS2H4781urb\n6vntG78l2ZPMTwt+imEauB3uY/LGwWiQpz56ipAeYpB3EIPjB1M4rBCn3XnMOkzLpDnU/JllNAWb\nCOpBkj3JeBwegtFgj6akIkaExmAjLrurS3PkPaVfBv5f/xrcbrjjju4ukdIf6KbO397/G69UvMLa\nT9aSEZ/BTQU3MSF9AsOThvNW9Vske5KJGlEyEjKwYaMt2oaFRVZiFs2hZjSbRl1rHcMThxPSQ7RG\nW6lsqqQp1ERmQiZzx83F5z7xxIOWZfWKFqLSv/S7wG+aMG0a3H47fOc73V0i5UyKGBFs2I7baqxo\nqqAx2EiiO5G9zXtpCbcQ54ijKKsIp93JzvqdvH/wfT6o+4CIESEQCZCZkMnHDR9T31ZPTloObrsb\nwzJ4dsezxLviuf2C25k2dBp56Xm47K4e2GJFOTP6XeBfvx4WLZI5ebRefT6xAtK6rmutw7RM/r79\n7zy36zkFj/tkAAAgAElEQVTern6743XNppHmTWOIbwg1/hoOth4kIz4D3dRpCDaQ4klhbs5cXvj4\nBRJcCeimzpiUMQyOH0xjsJHNBzajmzqD4wczOmU0l469lDhHHC67iz1NexiXOo7UuFTq2+qJmlFM\ny+TiUReTm57bSakVpW/rd4H/Bz+A886Dm27q7tIoAFEjSn1bPenx6VQ2VVLdUs30odNpjbby0m6Z\nD9sf8fNW9Vu8V/Me+1v2dww/u2DEBUwbMg2v08vNhTeT4EogpIdoDjXz/sH3MUyDi0ZdRHOomdcq\nX8NpdzIkYQgle0u4YsIV5KTlHLc8LeEWBnkHdfeuUJReq18F/pdegjlzoKEBUvv+8ZdeK2pEaY22\n4nP5eOLDJ1hXsQ6H5sDn8rGhcgP7WvbhD/vxuWWUSVOwCZ/bh2EaGJbBJaMvYeqQqUxIn0B2UjbT\nhk7r6U1SlAGlXwX+O+4Aw4D/+3+7uyT93wH/Ad478B67G3fzm5LfEDWihI0wuWm53DD1BkzLRDd1\nhicN58oJV3LAf4ChvqHYNftnRoYoitLzumWunurqaq655hrq6upIT0/nxz/+MT/4wQ/w+/3Mnz+f\nrVu3MnXqVB577DESEmSM7fLly1mxYgVOp5OHHnqIr3zlK50WwDRhwwZ1ScXTVdlUSdXhKlx2F+PT\nxhM2wjQFm7hr011srdlK1eEq8tLzGOQdxNr5azlv+HmdLu/osewq4CtK/9Rpi7+2tpba2lqmTJlC\nfX09BQUFlJeX88ADD1BdXc29997LbbfdxsiRI1m0aBF1dXXMmDGDdevWUVlZycKFC9lynCuoHF1r\nPfcc/O53UFoKjl45c1DvEtbDlO4v5eU9L3P/5vtxO9yMGzSOg4GD7G7cjQ0bPrePq86+ihun38iI\npBEkeZJ6utiKonSBbmnxZ2ZmkpmZCUBaWhoTJkxg8+bNlJWVcfvtt+N2u1mwYAF33303AKWlpcye\nPZvs7Gyys7OxLAu/39/pBdfLymQGThX0P6s51Iw/7Gd73XYOtR5Cs2k8veNp/rnrn0xIn8CFIy9k\n60+2MjJ5ZEfLPKyHsWt2HJramYqifLGTjhB79uzhww8/pKCggB/96EeMHz8egPHjx1NWVgZI4M/N\nPTKcLicnh7KyMi6++OIvXO727fCjH51u8fuXiBFh9fbVlO0v4/EPH6cx2MiMETMYkTQC0zIpHFbI\nI5c9gs/tO+58IG6HuwdKrShKX3NSgd/v93PllVdy3333kZCQcEpdjS/KEy9ZsgSAjRvhyitnAjNP\nepl9XY2/htZoK5ZlYVomr3/6Oi/ufpGy/WXEu+K5YsIVvLngTcanje/poiqK0oNKSkooKSnp8uWe\ncFRPNBrl0ksvZc6cOdxyyy0AfOc73+H2228nPz+f9957j7vvvpunnnqKNWvWsH79epYtWwbAlClT\n2Lhx4zGpnvY8VU0N5ObKME778Wdk7TeC0SCl+0u547U72Fq7lcHxg9FsGppNI92bzk+m/YRRKaP4\nSnbnB8MVRRm4uiXHb1kW1113HWeffXZH0AcoLCxk1apV3HPPPaxatYqi2PzJBQUFLF68mKqqKioq\nKtA0rdP8/sqVMj1Dfwz6DW0NfNzwMbWBWjYf2Mz/bvlfRiSPwOfy8daCt5iYMbGni6goygDVaYt/\n06ZNzJgxg0mTJnWkbO6++27OP//8LxzOuWzZMlasWIHL5WLlypVccMEFx640VmuddRY89RRMmXKG\ntq4bbaraxCPlj3Co9RBhI8xb1W+R5k1jZPJICocVMn/SfPLS83q6mIqi9GF9/gSu996zuPxyqKzs\nm1MwW5bFqq2rePmTl6lsqqQ2UMu/nfNvnD34bGzYyB+ST3ZSdk8XU1GUfqTPX2z99dflSlt9Jeg3\ntDXwxqdvsLtxN69UvMLWmq0kuhP5wcQfsLBoIRMHTzyp6XoVRVF6Wo8F/p07YfLknlr7ydvfsp//\n9/b/489b/0zhsEImZkzkx1N/zIwRM0jzpn3hdUIVRVF6qx4L/O+8A9de21NrPzn7Wvbx7ce/zTDf\nMHb8+w6G+ob2dJEURVG+tB6b+d7vh4KCnlp753RTZ+mmpUy4fwIXj7qYp694WgV9RVH6jR5r8d92\nW++cpmFb7TYK/7eQoqwi/vWDf6lx9Yqi9Ds9FnovvbSn1nys53c9z9aaraz5eA37Wvax8psr+eGU\nH/Z0sRRFUc6IXjEff0+xLItndjzDjS/eyIL8BVw86mIuGnmROmCrKEqv1OeHc/akDRUbuOete9hV\nvwuf28eT33uSGSNm9HSxFEVRusWACfy76nex9pO1rPl4DZv3b+a/Z/83BcMKyE3LVRccURRlQOnX\nqZ6Gtgae3vE0T330FNtqtzFv/Dy+PubrXJB9ARkJGWd8/YqiKF2pz0/ZcKZWW3W4ir9s/Quvf/o6\n22q3ccmYS/he3vf4xlnfIN4Vf0bWqSiK0h1U4I+xLIu3qt/iiY+e4Nkdz9IQbGD+pPnkZ+bzrZxv\nqfH3iqL0GwM+8BumwSPlj3D/5vtpCbdw9aSr+XbutxmVPEq17BVF6ZcGbOAPRAL84e0/8NB7DzEy\neSS/OP8XzBk7Rw3BVBSl3xuQwzl31e/i8icuJy89j7Xz1zJh8ISeLpKiKEqf0+lcPQsWLCAjI4OJ\nE49cLWrJkiVkZWWRn59Pfn4+L730Usdry5cvZ+zYseTl5bFp06YuK2RFUwXXPX8d0x6axi2Ft/Dk\n955UQV9RFOU0dZrq2bhxIwkJCVxzzTVs374dgDvvvBOfz8ett976mffW1dUxY8YM1q1bR2VlJQsX\nLmTLli3HX+lJdlcOtR5iRdkK7t98Pz855yfcdu5tpMalnsr2KYqi9Bvdkuq54IIL2Lt37zHPH2/F\npaWlzJ49m+zsbLKzs7EsC7/f3+k1dzuzZtcablhzAxeMuIDtxdsZ4htyWstRFEVRPuu0pmVesWIF\nRUVFLF26FL/fD0BZWRm5ubkd78nJyaGsrOyUl72ncQ/n/vlcblkrKZ0nv/ekCvqKoihd6JQP7hYX\nF3PHHXfQ0tLC4sWLWblyJYsWLTpuL6CzqRCWLFnScX/mzJmc+5VzefzDx1m0bhH/MeM/uHH6jWqk\njqIoA1pJSQklJSVdvtwTDufcu3cvc+fO7cjxH628vJwbb7yRN998kzVr1rB+/XqWLVsGwJQpU9i4\nceNxUz1H56kiRoS/lv+VX274JblpufzXV/+L84af1xXbpiiK0q/02HDOmpoahgwZgq7rrF69mjlz\n5gBQUFDA4sWLqaqqoqKiAk3TOs3vByIB/vTen/jDO39gfNp4XrjqBQqzCk9/SxSlK7W2wubNkJIC\ngwbJVYOcTvD5wG6HpibQNLmU3L59cnO55LHTCYMHQ1YWjB4tjxWlF+k08F911VW8/vrr1NfXM3z4\ncO68805KSkrYtm0bLpeLGTNmUFxcDEBGRgbFxcXMmjULl8vFypUrO13x8PuG87UxX+PZK5/lnKHn\ndN0WKb1bJCIXXM7OhsOHweuFujq5P3gwTJwIbre8t7kZtm+HUAhGjIBoFA4cgKIieY/TCXv3SlA2\nDAgGoaICUlNleSNGQFycfK6uDpKT5XEwKK8nJUF9PRw6BA0NEuhB1lleDmedJRVANCo3XZfPapoE\nf02D+HhZTkYGmKZUEoGAVABVVdDSIs+lpYHHI9sYDMp6hw2DhAQ4eFAe22zynrY2+VwoJPsjOVne\nd+ml8Oabsp4rr5TXvN4j+7atTfbt/v0wYYJUWlu2wAcfyHaYJliWlPvrX4f0dNlXw4fL8/X1sl8d\nDlnOunVSVqdTtj8uTi6U/cQTUFsrr8XFQWKifP6CC2DoUNnWrCwpk6bJdn2RtjbZV5HIsbfDh2Xf\nOByyHoDMTKlMExLkf9BZpWqa8h2yLCmj3Q7hsJSptVW2fYDqsTN39zbtZUTyiO5etXIyTFOCF8iP\npT0YtGtrkx9lKAQbN8r9hgb5gfn9EoQ1TYKF3S7PWRZ8/DG8+y7k5UFNjfxonU75ASYkyDJ27Djy\nY3Y4YOxYWX99vawvIQE+/VTu+3wS+DRNPuPxSJANBiVY7t8v73O5JEAHAlK29m0yTVnesGHy/Lhx\nMH48jBolQay9Ajpa+zKSkk5uX9bXy/bX1Egwq6uTMqemSvmCQak0Bg2S94dCsh0ul2zT7t2yvysr\n4c474eyzIScHSktl2eedJ2UJheC112TfxsUdWfaIEVLJjholwc9mk6D9yiuy/fv2SfnsdtlH7UE3\nJwdmz5btTU+X8m3ZAiUlkJ8v+6yyEr76Vdi0CSZNktcaG6G6WgKrrsv/PT5eKuucHPm/GIZ8N155\nBT75RP4HLtext7g4qbzC4SPfu8ZG2ZctLVLmjAzpfWVmyv/LMKTiaWmR74llyTb7/fJ9aq/47Hb5\n/gSDsk/tdsjNlWU5nbK9u3fLPnK55H9ms0mZ4uOlQpk5U77T7cPWP/1U1pGUJPtQ16VMhYXyPR49\nWsrp8chrbW1HGjeRiDQKQLahpka2NStL/l9paZCejq24eGBO2aB0kfYfeHtrNhqFPXtg0SIJznFx\n8mMwTfmSDhkiX8hQSIJBcrL8iKZOhZEj5bHLJT9ih0OW1/5DTEyUv8OGwSWXyPu+iGXJj9GyjvzY\nvuh9Bw/Kj0U7rcFpfU97C7tdVZX0TPx+2U+XXCIB4lS0B2dd/+yyv2w5NU3+/8GgBLfnnz/SWHA6\n5fWCApgyRYL76YhEpOJKTpbvQnuv7PBheW7IEAm0INt4+LCs1+OR/XXggNz/6CN5/f33j7zXMCRY\nu1yy3IYG2RbTlG1o711mZEjvKjUVxoyRzzU1HemRNjRIL626WnqnjY1H9oHXK5XPhAnyuKlJ1m+3\nS7kTE6WMmZlSyTc1YVu5UgX+PsOy5EdqGPKFq6iQ7rKmSbCtq5NWWVKSvJ6aKj/mdikp8kUKh+VL\n89FH0rpwueTLER9/pIWVnCyPGxuPtDpAlhsOy/vav8TtX872W3o6/OxncPnlstz2gLp3r/x4Bw2S\nH0pKymd7AIqidIsBO0lbtzBNCa5vvy350ba2I7W80ymBvKVFgujHH8trpikBNyVFWr2RiATa+nr5\nfGKiBE3TlJbIvHkSPHNypCXcng82DAnMKSkSrC1LKgbLOtIFHjdOWiPhsFQQra0SxD0eCdCBgFQi\ncXHyfss68nmHQ1op7ctXFKXPUIH/dLW0wHvvScDevVuC6r59EjDb0x+HDkmX+dxzpSvq80lQ9XiO\n5BvbW9btudP2A0ZNTRJ4XS4Jxqmp0qVrz68qiqKcJhX4v0j7kfxDhySwb9oEb7whB0sOHpTW+Xnn\nyUG8sWOl9ZueLnm09hZ1SsqRAy2Koii9xMAN/LouaZFPPpHA/u670mqvrZWRDPX10sJOT5ej6EVF\ncNFFMrohPf3I6A9FUZQ+pn/Pxx8KydHsgwelpb5zpwT08nIJ9MnJcgR9zBgZGTB0qLTcs7IkuHc2\nakRRFGWA67kWf3295Nn37pUAf/CgjOEuL5dgn5kpt4wMOQCaliYnrJxzjgR3RVGUAabvp3qSkmR0\nyqhREtwzMiTnnp8vz6nhgoqiKJ/R9wO/afaqUS6mZdFiGNiAOE3DYbNho/MZRhVFUbpT38/xn2ZA\njZgmDdEo9dEoDbpOQzTacWsxDAzLkhsQMk3qo1GaolG8djt+wyBkmuiWRath0GYYGIANqItE8Gga\nFhA0TQzLon332oBEh4MUhwNv7KQml6Zht9mwg/xtvx312Gmz4Y5VIvXRKNluN4mxnkz7suM0jQyX\ni8FOJ/bYPrEB030+9oXDBE0TE0h3OvHZ7XwSDNKs6/gNgwS7nRSHg+mJibhtNuLsdhy9vKKyLIsG\nXUe3LNKP2mZFUbpPj7X4q0MhDuv6kZthcFjXaTnqfkeAPyrIh0yTQU4ngxwO+Ru7pTmdJMYCX3vg\nddtspDmdJDsctJkmiXY7nljATrDbibfbaQ876U4ncfZj5/+3YpWIX9dp1nUChoHNZiMSqxwMOFLZ\nfO5x1LIImyZRyyLV4aAqHKY11qsAOiqZg5EIddFoR01+2DDY4vcz1O0mPTZvzaFYBTYmLk4qAYeD\nVsOgLhLh1eZmvJqGblkMdrlIczo7Kp0Uh4M0pxOv3U55IIBb08hwOklyOAibJuFYGTtusceGZeGz\n26mPRvE5HHg0jaBh4NQ0NCDX6yXD5SLZ4cAR28/Nus7+cBiPppFgt2MiPamoZdGs62wJBNji9xOx\nLFw2G4d1ne+mpzPC4yE+9v/watpn/ibY7eTFx2NaFlqsMnXZbDi/YJoG07IImSYRyyLJbu/osdVF\nIoRj3x3vUf/nNsMgbJokORxoR1VClmVREQpRE4lgWlbHtrT/bdZ13m9txaNpDHW58GgaLk3DZbOR\n6nSS4nAwOPa9VL1Gpav0+VTPkDffJMnhkJvdfuS+w0Fi7HF7QD86yCce9WNWhG5ZOGw2AoZBfTRK\nYzRK1LI4GIlwWNdpNU3aDIPJCQnolkV1OEzYNHFrGu5YBdFxiz3WYoF5sNNJwDAImiZeu52IadKs\n6+xoa6PVMGgxDCKmSU0kQrLDQbbbjW5ZtJkmNo70flIcDsZ7vRQlJjLU5cJms9EYjbK6rk7KaBi0\nmWZHT6w1dr9J19ni9+OLBev2iikzFmwPRaPEaRph0yQUq2Q9sV5WqsPBOT4fByIRdrS1ERd7f3tP\nyYZUqBoQMAwSHQ5SHQ6adL2jxzY6Lg4N0Gw2tNj2aIBb05gYH0+LYRCI9SQjsQpnfzhMo66zLxxm\nsNNJrtdLosNBUWIi3lgF4bTZcB2VUnTYbExOSMCjaZJiBJw2G+mnMEJNtyz2hkLURiJsDwR4rbmZ\niGURjPVsz4qLY6THw+hYRZvkcDDS46HVMEh2ONgf62E2RqP4DYPtra0k2u2ETJMGXSfV4ZAGlaaR\nFHv+QCQCQE0kQn5CApkuF0NdLkykx21aFokOBwmxRpdhWSTY7dJjbt+fR/WUHTYbjbqO02ajNhIh\nLva9TIv1DjWkt30ihmVREQzyUVsbxPZlosNBXSSCI9bwy3C5aDMMkhwOjFiqtyXWuNNsNlp0nQ3N\nzTREo3g1jZBp0maa0ggyTUZ5PAxyOhkXa4zleL2cFRf3mQZEV+vzgb9XT9mg9CpR05QAabNhxioV\nv65zKBolMxYYPZqGJxZQ279fH7S28lFbG5kuF9N9Prx2O5Zl0RjrPRqWxbBY+s2wLA7rOgdiFZgG\nDIlVUKfLtCy2t7ZSF4lQH43yrt9P2LKIxCqoqGURNU0sJEiWBwLosRSjBR2VdabLhWazMdLjIT7W\nswNId7mwAVsDAUKmyevNzThsNoa6XAxxu5mTmkqq09mR/qsMBtkdDLIvHOaTYBDNZqMuEkGz2Qia\nJlluN95YLzHJ4SArNjtpXCzw7o9EOnqzzbqOYVmMjU0LPcjh4KO2NuqjUT4NhXDYbMTHeuCHdZ1G\nXSdqmjg1jdZYY8GI7aOje8oBwyDd6cQCMl0uQrEKvT4axUIqt1yvF9fR6dXPVRyHolF2tbUx2OXi\n7Ph47EBr7DuTGauU/IbBwVh6128YOGw2fHY7ibFepoVU9hcmJTHE7caM7fO42P73ORzsbGujNhKh\nKhSiWdfZ3tpKTSRCgt3ekcIlth1ZbjdnxcVxdnw8nqMqLivWQ23UdTyaRpOu0xiNEjCMY75PjbrO\nypwcFfgVpT8LmyYvNzZ2HJeqDIUIxypB07KojURoNU0KfT4SHQ6mJiQwMSGhp4v9pQQN47gp13Z+\nXWdPMNhpijXZ4SAvPp6ETpZzpkRilZQea2AAVASD1EYifNTWxq62Nj4f+TyxFKE91ktNdTpJOCoN\n3c5nt3Pz8OEq8CuKogwkXRU7O02WLViwgIyMDCZOnNjxnN/vZ968eWRnZ3PZZZcRaL9gB7B8+XLG\njh1LXl4emzZt+tKFUxRFUbpep4H/Rz/6ES+//PJnnnvggQfIzs5m9+7dZGVl8eCDDwJQV1fH/fff\nz4YNG3jggQe4+eabz1ypFUVRlNPWaeC/4IILSPnc1XHKysq47rrrcLvdLFiwgNLSUgBKS0uZPXs2\n2dnZXHjhhViWhf/oi4koiqIovcIpn8C1efNmxo8fD8D48eMpKysDJPDn5uZ2vC8nJ4eysjIuvvji\n4y6nfk09NrsNzaXhGuJC82hoHg27z47dp4ZsKoqinCmnHPhP5cBCZ8H7jtvuwLIsLN1isjmZfEc+\nZtDEaDEwQyb2JDuOJAeORAfOdCeeUR5cg124s924s9y4Mly4Mlw4051o7gFyzVVFUQaUkpISSkpK\nuny5pxz4p0+fzo4dO8jPz2fHjh1Mnz4dgMLCQtavX9/xvp07d3a8djz3f3z/F75mRqQC0A/r6C06\n0YNRQp+GiNRGaCltIfx0mGhdlEhdhOihKPZ4O87BTlyDXTjTnDgHOXGmO+V+uhPXEBfxZ8djj7dj\n99qxOVRvQlGU3m/mzJnMnDmz4/Gdd97ZJcs95cBfWFjIqlWruOeee1i1ahVFRUUAFBQUsHjxYqqq\nqqioqEDTNHw+32kVSnNpaGkazjTnCd9rmRZ6s07koFQC0foo0YYo0UNRwvvCBLYGCFYECX4SxGwz\nMdoMNI+Gd7wXZ4oTR4oD93A3nhEe7IlSMXhGeHCmOXGkOnAkO7BpqqJQFKX/6DTwX3XVVbz++us0\nNDQwfPhwfvvb31JcXMz8+fPJyclh6tSpLF26FICMjAyKi4uZNWsWLpeLlStXdssG2DQbzlQnzlQn\n5J74/ZZloTfphCpCRJui6I06oaoQwd1BjFYDI2AQ2hsi2iivWaaF7xwfrnQXjlQHztRYhZDiwJXp\nwpnixOay4cpw4UhyoMVr6viEoii9mjqB6wQitREC2wNE66UiiDZG0Zt0og1RIrUR9GYdK2wRORhB\nb9ExQyYOnwN7oh1HsoPEokTizoojbnQcntEePKM8OFNO3JNRFEX5PDVXTy9l6Ra6X8doMYjURvBv\n9hOsDBKqCBGqDBGsCKK5Nbx5XqkgfHbpSQxygg05DuGz4x3nJWFKgqSa7KoHoSiKCvx9lmVZRPZH\naPu4TVJLLUZHD8IMmViGpKLaPm4jsDWA4TdwZ7mxJ9qJGxWHPcGOzS3prbgxcVKBJDlwDpaD2fa4\n7p+fRFGU7tHnA/+2bV8lIWEK8fFn43INweebjtOZcuIPDyCWYWG0xkY3NemEKkOYQRMzZBKtj9Ky\nuYVoXRT9sE6kJkK0IYoj2UH8hHicg504khzYE+x4RnnkPAmXJr0HG9hcNpwpTnyFPjSPhk2zqZ6F\novRyfT7w19e/QCCwjdbWD4lEavD738XtHobPV0BiYgE+33QSEiajaZ7uLl6fZRkWwd1BwvvDRA5G\nMAJSaYT2hrAiFmZYehQA0UNRST/tDWFz2jAjJnGj4nCkOKSScGvYE+1ocRpxo+NwDnLineDFk+1B\ni9OweyVFpUY8KUr36fOB//OrtSyd1taP8PvLaGkpw+/fTFvbLuLjJ3RUBomJhcTFjcNmUydsdRXL\nstAbdDSPRnhfWA5Qh02ssAyT1f064eow0UNRAlsDROoimCETo9XAbDVxDXERbYwSnxuPM82JETBw\nDZPRTpFDETSnRvzZ8cSdFYcjWYbH2pPkXArPSI8aAaUop6DfBf7jMYw2AoEtsYqgjJaWUnS9CZ9v\neqwyKCQxsQCXK7MbSq18nhGUoa+aW+tINWlujUidjHZypjqxDAv/u37C+8PozTrGYQO9WUZHGX6j\nozLQ4mK9jHi7nEORIkNm486KI/nCZFyZLuw+O+2TlKsKQxmI+nzgv+yyy7jqqqv41re+hcdz8umc\nSKQOv38zLS2lHb0Du92H15tDfPwEEhOL8PnOweMZgc3Wc9eSV07MjJjSq2iSXkZ7TyJaL0Nm9Sad\n1u2tHH7rMJGDERw+B9GGKDanDVemC8uwsCfYwYJwVZjki5Kxx9uxTPlK233ymjfXiyPRIVOCBOTK\nRp7RHpypTmwOW8fNmeHEM9wjPyxLUmdm0CRSG8Fsk/JZpoV+WMcIGGguDcu00NwazlQn9kQ7li4p\nNUxwJDnwjPHg8B3/e2hZkpqzdIu4s+LQXKonq3Suzwf+Rx55hFWrVrF582YmT57MvHnzuOGGG0hN\nTT2lZVmWRTC4h2BwD62t79PS8jZ+/xai0Trc7my83lzS0uaSkvJ13O4s1VLsoyzLIrAtgHecl2ij\njICy2W2YQRMAzaPhf8+PZVhykNpCKgm7jbZdbRgBA7vXjhavgQnBT4IyL1TUxNJlzqhwlaS0OnoV\ndhs2tw3NqeEe4ZaD4HYb9gSZR8oMm9g0G2bYlB5Mi4HNaZO5o2zI8ZWKEM7BTqL1UewJdgy/VBj2\nRDtWRH56NoeNUHUIR5KDuNFxmFETm0PW45vmkx5Qoozcsvvs2DQbeouO5taINsRONIxtgxWVAQGR\n2ohUpmET47BBpC6Cc5CcbKh5NOwJdjSnfL75jWYcyQ7ixsShuTXZBpcmI8yadTSvhnuoG82tyUCD\nwzruoW4swyK8LyznrCQ5MFqMjn2OXbbLZo/dHLJem8uGM82Je6gb1xAXnlEe7PF2IgcihPeHO7bD\n5rJ1nA9j99k75uxyDT75axBblpQveiiKK8OFGTTRPBruLPcx7w0fCKM36oQPhAnuDkoP1BPbF075\nf4arw2jxGskXJmNFZdlGq0F8Xjz2RPsple109fnA377a1tZWysrKePDBB3nhhReYNGkSV199NbNn\nz2bUqFGnHahNM0QwWEkgsI36+udobn4NXW8mLm4MiYnnkpr6DZKTZ+JypXflpinKZxhBg/C+sAQP\nTc7zsCfYiRyMYIUtEvITsNltWIZFtFEOuGPRMbS35e0W6WH4pSdkBAws3cKRLBVP+zkgNmcsuDo1\ntDgNV6ar4yC95tFwDnZitBpYYUtGhTVFwQJ7gp3kmckYfkNGjUVNrIhUIJZl4UyV4zaRmgiWbqHF\na6QS9IQAAB8eSURBVDiSHURqImCBZ6QHwy+DCOw+SdNhynZahnXkbzQ2uCBiETkUIVITIXIgQtvu\nNqywhWuoC/dQNzaXbIcVtdBbZLuNFgPdLyPXLMPCPcSNa6gLR8qRXpwRMLD77B2VYbQuitFmYLNJ\n7zDaGEXzaJJujFXQNodU0karIevVbMRPiMc7wSv7KWxKuaNSeXpzvegtOo0vNeJMdeIe7sYMmXLy\nZpOOFqdhtBg4Uhx4RnoIfRqShohmw2gzsMfb0VwyFY1rqAubwyYTTg5x0fZhGzanDc9oT8fIu3BV\nmNCnIYyAgc1uI/RpiKLdRf0j8B/NMAxefPFFnnjiCdavX4/D4eCrX/0qX/3qV7n44ovJzPxyuXzT\nDNHWtovDhzfR0PAvWlreRtO8JCRM6bj5fNPweEaqA8iK0stYVmxerhqpOPQm6Y3YE+zY4+1yFn0s\n/ece5sYyLeJGxR2zDCsau5lSCdrjZfTal8kGmFGT8L4wzlQn0cYowd1BPCM92L12jKDxmZgXPRQl\nckAq0lBViEhNBG+uF8uwCO0NScVpWHiyPXhGejp6qe5hbhImJvS/wH80y7LYvXs369evZ/369bz2\n2mtkZWUxd+5ciouLGT58+Jcuh2VZhMNVBAJbCQS24fdvJRB4D5vNTWJiIR7PKDyekUfdstG0Y7uJ\niqIo3aHfpHpOlq7rbNmyhb///e88/PDDZGZmctFFF/HjH/+YyZMnd1nu3rIsAoGttLV9RCi0l1Bo\n7//f3pkHx1Ge+f/T19wa3cK2fEg+kGUTkM1hlwFjCHEglHESh+JIKFKGbIpKihyQrVTi3ST/hAWW\nhCS1m81SMbvL5RxbbPhBcCopEDYBLBsMAR9yjC0fsmTrGGlm1DPT1/v7o6dbI982smVb/al6q6+3\n3+Ppd55vv/12v0Mut5t8voNCYT+hUC3R6EySyUXU1CwnGp2BqlYHYwcBAQFnnHHn+EuxLIstW7bw\n4osvsnr1alKpFJ/5zGe4/vrrWbhwIXPmzEFRRn/qAiFsCoVOdH0b/f1rGRh4jXy+A1WtZsKEe6ip\nuZVIZDqKUhYIQUBAwKgzrh3/4XR3d/PCCy/w9ttv89Zbb9Hb28ttt93GJz/5Sa644oqPNUh8Itz/\nFm7j4MFn6e9fi2EcAGRisWZCoTrKy68mFptNLDabaHRm8IppQEDAaRM4/uOwZ88ennnmGTZt2sTG\njRvRdZ3FixezYMECZs+eTUtLC42NjWckbyEElpViaGgLuVw7ut6Orm9naGgrhtFFKFRHVdXNyHKs\nOF4g4Tg6odAEQqEJRCLTSCQuR1VP709sAgICLlwCx38KHDx4kJdffpnt27ezdetWNm3axKWXXspX\nvvIVbrnlFmKx2Fkph20PoevtpNNv4jgFHCePEA6KEscwujCMg0WR+BBZjhKNNhIOT8U0+wiFJvjb\nqlpOWdlVxR5E8EgpIGC8MOaOv6GhgWQyiaIoaJpGW1sbmUyGL33pS2zevJn58+fzzDPPkEgkjlr4\nnh5BTc3HLv9pYRgGzz//PM8++yxtbW3ccMMNNDU1cemll7JixQpCoTP/IcbxEEJgmj3k87vJ5/eg\naVUYRg/5/C4KhX2YZop0+k1MsxdVrSASmU483kwyuRBJCiPLGsnkIiKRqWNaj4CAgNFlzB1/Y2Mj\n77zzzogvbR999FH27dvHv/7rv/Lggw/S0NDAQw89dGSmksTMmYKf/AQ+8xk4A+OwJ83Bgwd59dVX\n+eijj3j11VfZtWsXt99+O4sXL2b69Ok0Njae0pQSZxPLymCahygU9pHNvkc2+zeEMHGcHKnUXwCZ\nSGQqoVA9kcg0kskFhMP1hEKTCIcnoSjlQY8hIOA84pxw/Js2baK6utrf94UvfIFVq1bR0tLCu+++\ny8MPP8zvfve7IzOVJNascR3/0BD88Ifw+c+DPMbfTAkheP/993nuuef44IMP+Oijj9i7dy8NDQ00\nNzezaNEirr32Wpqbm0kmk+e003THGvrI5/dQKBxA17cxNPQBhcIBDOMAhcIBwEFVK1DVChKJ+SST\nC1CUMlS1HE2rQlWrUdUktp0txqtElse2NxQQMJ4Zc8c/ffp0ysrKaGxsZOXKldx6661MmzaN9vZ2\nIpEIuq7T3NzMnj17jll4IeCVV+Cf/9l1+r/6Fcyb97HrNKpYlsWHH35Ie3s769ev580332THjh04\njsPSpUv51Kc+xdKlS5k1a9ZYF/WUMc0Utp3GNPsZHFyPrm/DtjNY1iCm2Y9p9mLbgyhKGZY1iGX1\nE41eTDw+h1hsLrIcIRyuR9NqkCQZVa0gGp0ZfNcQEHCGGHPH39XVxcSJE9m2bRvLli3jjTfe4Kqr\nrmLHjh0n5fh/8IMf+NvXXbeEjo4lfPe7cNdd8C//AuFz/APZvr4+nn/+eTZv3swrr7yCoijccccd\nXHPNNdTX1zNt2jRqamouKAcohE02+x66vgNd34bjFCgU9mBZgwhhY1kD5HI7sO1cccoLCVkOE4k0\nYNs6mlZDOFxPOFyPoiRwnDyWNYAsR4jF5hRFpBrD6MYwuolEGonFLkbTapDlCJKkIoTAcfLIcgTH\n0VGUc7vnFRDwcWhtbaW1tdXf/tGPfnTuvNXz7W9/m+bmZtauXcuqVauYN28e77zzDg8//DC///3v\nj8z0GKqVSsGXvwxbt8KTT8KSJR+3ZGcH7xHRH/7wB9588026urro7Owkl8tRVlbGjBkzWL58Oc3N\nzcybN29Upps4l/HeVnLXdXK5XUiShm1nKRT2Yxid2LaOLIdRlLLiHErbi282HSIcnkgoNLH4SuxO\nTLMHkBHCAhzAnVdFksJIkkw0OpNQ6KLiYyr30VU4PJVQaAKKEkOSNCRJLQaNUOgiwuEpyLKG45jI\nsnZS9RLCxjT7MYxuFCXu7UWSFFS1EtvWMc1DxZ5SFsfJ4zgGtp1FkqSiWJmAQJajKEoMy0pj24PF\nOslHLN0yh7DtNJIUIhyeghAWjqPjODlsewghbGQ5gqbVoGm1qGqyWD4JIZzi3FMShtGDplWfs/NQ\nCSGKtlIAB0nSgilSDmNM7/h1Xce2bcrKyujp6WHJkiWsXbuW559/nn379vHoo4/y0EMP0djYeMzB\n3eNl+9JL8A//ALfcAv/xH2M7+PtxyGazZDIZtm7dym9+8xs6Oztpa2sjkUgwZ84cpk+fTjgcZnBw\nkHA4TEVFBWVl7le/uVyOyspKwuEwtbW1TJ8+nRkzZlBWNn7f73fbjF2887eRJAXTTJHPf4RhHMK2\ns8VHUilyuZ1YVqroGE2EsIrBpFDowjC6kCRXTFS1CkWJFcVKQpY1FCVZHCg3EMLAtnUsawBFiREK\nTcRxdNz5myWEsLCsVNH51hEK1aIoSWQ5XAyuSDhOrujMNWzbddyKkkBVKwEBOMUyDC9d8TBR1Qoc\nJ0+hsLeYZgxFiSHLMSRJwXHyGMYhLKsfyxrEtrMIYQIypnmoKDpGsXekoChxZDmCoiSQ5SiW1Y+m\n1RbLIYq2Fth2GkVJEos1kc/v9Y8DSJJWjOvm46Fp1ahqZYmAachypOQauNdBkhRkOVzsLabIZDZj\nGF24Tl8FZOLxS/wbBFfUy3GcApaVwhXQCELYRTE0CIXqUNUqXzzca5Px240XXMEPIcthTLPfL+sw\nkt9rHSnE7jW17Sy2nUYIgSxrSFKomKdUrK9WvOEIlaxryHIISQqjaVX+tzyyHClZRpDlKLIcLbZP\nuxhMstl3qay8fuwc/+7du/nc5z4HQHV1NV/84hdZuXLlKb3OeaJsh4ZgxQrYtQt+8Qv41KfGfvB3\nNHAchx07dtDe3k5HRweGYRCPx7Esi8HBQbLZLI7jEIlEGBgYIJ1OMzAwwK5du9i1axeJRIJrrrmG\nlpYWZs2aRVNTE9XV1YRCIUKhEJqm+evBI5Bj4zgGjlNAUaIYRg+Ok/fvhN279HTJjzZUdD4JVLV8\njEt+6ti2jhAGshxHCAMhHBxHx7LSRWFxBci2M3hi5rYdqdjbyKLr24lGZ4z48tx1+FJRAJziuQ6m\n2YdlDRTFSyCEa+tSx+uJt2t3FVUtJxqdSSIx32+3htFNLrcTxykURX0AyxpEliPF6yBwHLOYnoIs\nh8jn9/hi7/Xw3ClUVMATCLOYv4njuI8gPaEbRvji6627DrhQbDeJ4mNGuXhzYBZ7pKKYrlncZ5Ss\nezcSBUyzH8fJFe1fKC7z/vVwnBxCOH7dJEkhFpvNFVe8c+486jnlTE+yu+I48H//B6tWQWUlfOMb\nsHz5uf/8/0whhKCzs5PXXnuNbdu28eGHH7Jjxw50XccwDAzDwDRNCoUCiUSCpqYmamtrmTBhAslk\nEk3T0DQNVVWJxWLU1NRQXV1NVVUVlZWVfohEIv71CcQjIODcYcwHdz9WpqdYeNuG556DX/8a+vvh\n6afhssvOYAHPc4QQ9PT00N7eTl9fH93d3WQyGUzT9IOu6/T29tLf309fXx+pVMoPiqIgyzK2bXPx\nxRczadIkIpEItbW1zJgxg7q6Ourr64nH4yQSCSKRCOFwmMmTJ6NpJ/e8PCAg4NQZV47fQwj47/+G\nf/xHuOEG+Kd/grlzz0ABxzFCCIaGhnAcB0VR2L59O4cOHSKfz9Pd3c2uXbvo6emhs7MTXdfJZDIY\nhkEul6O7u5vJkydTV1eH4zjU19cTi8UIh8OEw2FfIOrr66moqMBxHHK5HPl8nkmTJlFbW+uPiwgh\nigO4EqZpkkgkqK+v98dADMOgvLycyspKVFVFlmVCoRDyhfA8MCDgGIxLx++RycC//zs8/jhceaUr\nAAsXjmIBA04LwzDYtWsX/f39SJLE/v37yefzFAqFEcs9e/ag6zqyLPticODAAXp6ekgmkyQSiZJv\nPQSKojA0NERnZyfZbBYhBKFQiIGBAVKpFI7jYNs2pmkSiUSIx+N+6Ovro6amBlmWqa+vJxKJEIvF\nmDFjBtOmTUNRFKZMmUJ1dTWdnZ309/dTVVVFfX090WiUaDTqj5mEw2F0XceyLCZOnHhMO+TzebLZ\nLOXl5QwNDZFMJk9KkIQQ6LpOPB4/YdyA8cm4dvwe2Sz853/CT38KLS2waBE0NLhh4UIIHk+PL7we\nxNDQENlslsHBQerq6ujv72dwcJBMJkOhUCCdTrNz50727duHZVns3buXgYEB3+Hv2bOHdDpNLpdD\n13VM0ySfz5NOpykrK0PTNDKZDJIkEY1GqaurI5FIkEqlMAyD3t5e4vE46XSacDiMYRhEo1F0XQfc\n9l9RUUEikSAajfo9mAMHDmAYBslk0h+oPzx44zMA6XSaVCpFNptFUZQjBvhLB/o1TcNxHOrq6jh0\n6JBfJ1mWkWW5+H2E44ut+/qpPOK36h3z1gFM00QIgaZplJeX+0KpaRrxeJzKykqmTJlCS0sL5eXl\nmKbpX5t8Pk8+n/d7jplMhqGhIRRFQZIkkskkc+fORVXVo441ed/J6LpOV1cXqVSK6upqLMuioqLC\nF/+BgQEikQgVFRW+ADuOg2VZfjBN018vFAp0dHSgqiqappFOp9E0jaamJiZPnuz3RBVFQVVVVFX1\n171lJBIhGo1i2zaqOnpTsQeOv4RsFl54AT74ADo64MMPwTThkkvgq1+FT386EIGAj4/jOH7bNU0T\n27bp6+tjaGgIXdf9x1oNDQ0j2rhlWf5xcP9buru7G9u2yefzvuOcNGkSsViM/v7+EeMxhwdd1xFC\nUF5eTlVVFYlEAtu2/cH90oH+0nXHcejt7aW2thZN00gkEn5vyXPyXvDK6eHtKz3uOT9ZljFNk8HB\nQXK5nJ9nOp0mnU6ze/du3n//fYaGhvx8k8kksVjMd5BlZWWUlZURj8f9fL1Hi5ZlHXEthBB0dXWh\naRqRSIQJEyZQVVVFX18fiqKQTqcZGhpiaGiI8vJyCoUCqVRqRBqlYuo5eW992rRp/nVOJBKYpsn2\n7dvp6ury24Jt29i27QtG6Xo+n8cwDADi8fiIsa/y8nJqa2tH9FYdx8Ew3NdtvV5wLBbDMAwcx/FF\nub29PXD8x0II2LwZ/vY3ePRR+OgjaGyEW2+FSZPg5puhqemMZR8QEBDgC1gmk/HXhRCkUil6enqo\nqqryx6e8MSqAXC5HoVAgk8kQjUb9HpAkScyZMydw/CeDEGAY0NYGf/2r+13Ab38LU6e6PYFLL3U/\nFCuZZDQgICDgnCR41PMxcBx4/XV4+2146y1Yvx7q6lwRSCbdN4U+9zm3lxAQEBBwrnDeO37TNlHl\nc+P/Z/fvh8FBeP99d7ygrQ3+938hFHK/F1ixAm67zf2ILBgrCAgIGCvOe8f/2u7XWNKw5GxnfdLY\nNnR1uT2DZ5+FV1+FQsGdNlpR3Okj5s2DmTOhthauvRamTAFVDcQhICDgzHDeO/7Prvksz694noh6\nbv671eE4Dvz975BOu9u5nNsz6Ox0BWL9ejh40BWEmhqYOBHq62FgwJ1iYuJE93GSqoKmuduTJ0N5\nOUSjUF3tnldWBvm8uy8QkICAgFLOe8e/6NeLuHzi5fzspp9dUPPB5PPQ2+uKQWfnsCM/cAD6+tzB\nZtN0j+3f736MpuvuVBR9fe62prkCkUy6ohEKuaGiAmbPdt9IkqSRwuD9EVqh4AbDGA6K4qbpbRcK\nEInAnDlu+rbtCk0iAfG4K0ATJrjlqa8PBCgg4FzhvHf83ZluPvk/n+Q7i77DPS33nO0inLM4juto\ns1m3d2EYrlAYhiso7e2wfbu7HQ67cYWAnh63txEOD4tFOOw6fNsGy3L3aZq7zGTcHownDLmcOyNq\nNgvd3XDokCsG+TzEYm4+U6a4+0pFxSubYbjlKC9OXhkOu8diMVdQPGHSNFdMLrrIFTfHcXtFhQLM\nmuXml067Yy7ptHu8osJNJ5dz6+i4U/37j9xmzXLjFArD4lVV5R7z7BAOu9v5vHvcE9No9MxP++04\nw9dVlgMhDTh9znvHL4Tg9Y7X+fIfvkzbfW3UxmvPdjECjoMQbigUXEEA9+M4yxoWj8ODEK7DFsJ1\n0pGI62j7+12hATe9zk5XWGzbdYSxmOuYP/rIdcrJpCsgyaR7PJVyz4/HXadpWa5oeIK2bZubj6q6\nZU2n3fi2PdwDKhSGeza53EjhisXcfLzgOejSUCogkYgrFoWCm28oNJyXabqhNF9dHxZoT7QOT98L\nqurWvazMzePwUFnpHjvWuVVV7vFYbGQ68bgriomEawPbdsvpiZJXNu/aZTLDNwu27R7zluAey+fd\n9VJBO5mlZx8vby94NzeaNnzzEo269ta0owdJctPyyqGqw+2xrMy1gaK4+xXlyDx1/cgbrNJ1b1ko\nuOkrynAbtKzh622aI7cPPybEcBuxrJHXVJLcsqRSw220stK1lRffq9NPfnIBOH4hBPe+eC97B/fy\ny1t+yazq8+9/awPOb/J598fvOb7DHaHn8Lwfvxcsy3VI4fBwr8nrYXmOy3NeicTIXsXheR3u/EqF\nqzQ4jusYdf3Y56ZSbq9N192elJeOrrv7vWOqOuwMSx2zJA330lR1uG5e78qLpyhu/T2nVSocx1s6\nzrB9vPS8tBXFfcxYau9czr1GpU7UC8UPY/2er+MMO1zDGO41ltrwcLGMRl1xKO0NH20ZDo+sgzdW\n5y29ULpduu7ZLBweFiCvTOAer6wcvnlJpdz8PIfvCdJDD10Ajh8gU8jw+FuP88TbTzB/4ny++Ikv\nsqxpGXXxurNdrICAgIBzmtF61HNG5rBdt24dzc3NzJo1i1/84hfHjVsWLuOHS35I90Pd3PWJu/jj\nzj/S8EQDS59eyusdr4/ph15ng9I/Uh7vBLYYJrDFMIEtRp8z8gXVN77xDX71q18xbdo0Pv3pT3Pn\nnXdSU1Nz3HMiaoT75t/HffPvI2fm+LeN/8Z9/+8+kuEkSxqWUBGuoD/fz0Xxi2iZ0EIilECV1ZMK\nmqz564qs0Kv3okgKqqwiS7IfJElClmQUSUFTzs4firS2trLkfPlX+TNMYIthAlsME9hi9Bl1xz84\nOAjA4sWLAVi6dCkbNmzglltuOek0olqUhxY9xLcWfovXOl5jw/4N5Kwck8smsze9lz/99U+Ytonl\nWCcVTGc4rmmbVEXdiXlsYeMI54hgOzYXJS4irIRRZMUXCW/9aEtVVv14qqxSGa3EEQ4Fq4BhG9jC\n9kVFlmQiaoSYFuOdv7/DwZcP+nX30vHS9gTpdPCn0C35L9HScp6oXt4xWTqyY3h4T0xwZM/saL21\n48V7r/s9ntr81Kikdbx4o5nW0eIdLY7XFuKhOFLxP21Ll8CIfe91v8d/vfdfx41z+FKTNSJqBFvY\nWI41ok175fTKVto2Dm8nZzreyZwDICERUkJs7trMU5ufOqL+Xpxj2edUjh8vbkyLnfJv0EvjpOKO\nwWteo+74N27cyOzZs/3tOXPm8Pbbb5+S4/dQZIUbp9/IjdNvHM0inhDbsenMdGLaJrawsR3b/zF5\n697SEY6/33IsbGFj2AapXApVVgmrYUJKCFmSR/wQc2YO3dTZH9/PpXWXAm6jL03Hdmz/R3u6lDbq\n0vQtxyLv5I9Zr9I6O8I5akM+vMGeTJzjxdszuId1e9eNSlonijeaaR0t3tHyCykh9AHdd36lS2DE\nvo6BDl7reO2oTvNY5xu2Qd7KjxBz78bhcGdWWubDnd/ZiHcy5zjCwXRM9qb38vqe10fY6HB7HW6f\nj3O8dN0RDrqpn5IjP5rwHzPuKTzKPpV0T8SYTZZzIX209XF5+cmXx7oI5wzvrXlvrItwzvD+b94f\n6yKcMwTtYnQZdcd/5ZVX8p3vfMff3rJlCzfddNOIOBf6gG1AQEDAucyov9VTXvx0c926dXR0dPDn\nP/+ZBQsWjHY2AQEBAQGnyRl51PPEE0/w1a9+FdM0eeCBB074Rk9AQEBAwNnjjLzHf91117Ft2zZ2\n7tzJAw884O8/lff7LwT27dvH9ddfz9y5c1myZAnPPfcc4P4V2/Lly5k6dSqf/exnyWaz/jk///nP\nmTVrFnPmzOGNN94Yq6KfMWzbZt68eSxbtgwYv7YYGhrinnvu4eKLL2bOnDls2LBh3NriySefZNGi\nRVx++eV885vfBMZPu1i5ciUXXXQRn/jEJ/x9p1P3bdu2MX/+fKZPn873v//9E2csziItLS3i9ddf\nFx0dHaKpqUn09PSczezPOl1dXWLz5s1CCCF6enpEY2OjSKfT4pFHHhFf//rXRT6fF1/72tfEY489\nJoQQ4uDBg6KpqUns2bNHtLa2innz5o1l8c8Ijz/+uLjrrrvEsmXLhBBi3NriwQcfFKtWrRK5XE6Y\npikGBgbGpS36+vpEQ0ODyGazwrZtcfPNN4u1a9eOG1usW7dOvPvuu+KSSy7x951O3W+++WaxZs0a\n0dvbK66++mqxcePG4+Z7Ru74j0bp+/3Tpk3z3++/kJkwYQItLS0A1NTUMHfuXDZu3EhbWxv33nsv\n4XCYlStX+nbYsGEDN910E1OnTuW6665DCEHGm93sAmD//v388Y9/5L777vMH+MerLf7yl7/wve99\nj0gkgqqqlJeXj0tbRKNRhBAMDg6Sy+XQdZ2KiopxY4trr72WysrKEftOpe5eb6C9vZ3bb7+d6upq\nPv/5z5/Qt541x3+s9/vHCzt37mTLli1cddVVI2wxe/Zs2traAPfCNjc3++c0NTX5xy4EvvWtb/HY\nY48hy8PNbjzaYv/+/eTzee6//34WLFjAI488Qi6XG5e2iEaj/PKXv6ShoYEJEyZw9dVXs2DBgnFp\nC49TqfuGDRvYuXMndXXDc5udjG89a45/PJPJZLj99tv56U9/SiKROKXXWS+U7x1eeukl6urqmDdv\n3oj6j0db5PN5duzYwYoVK2htbWXLli389re/HZe26Onp4f7772fr1q10dHTw1ltv8dJLL41LW3h8\n3LqfzPlnzfFfeeWVbN++3d/esmULCxcuPFvZjxmmabJixQruvvtuli9fDri22LZtG+AOylx55ZUA\nLFiwgK1bt/rnbt++3T92vvPmm2/y4osv0tjYyJ133smrr77K3XffPS5tMXPmTJqamli2bBnRaJQ7\n77yTtWvXjktbtLW1sXDhQmbOnEl1dTW33XYb69evH5e28DjVus+cOZODB4enfdm6desJfetZc/zj\n8f1+IQT33nsvl1xyif+2ArgXcPXq1eRyOVavXu1fpKuuuoo//elP7N27l9bWVmRZpqysbKyKP6r8\n+Mc/Zt++fezevZs1a9Zwww038PTTT49LWwDMmjWLDRs24DgOL7/8MjfeeOO4tMW1117Lpk2b6O/v\np1Ao8Morr7B06dJxaQuP06n77NmzWbNmDb29vbzwwgsn9q2jNDh9UrS2torZs2eLGTNmiJ/97Gdn\nM+sxYf369UKSJHHZZZeJlpYW0dLSIl555RWRTqfFrbfeKqZMmSKWL18uMpmMf84TTzwhZsyYIZqb\nm8W6devGsPRnjtbWVv+tnvFqi/b2drFgwQJx2WWXiQcffFBks9lxa4unnnpKLF68WFxxxRVi1apV\nwrbtcWOLO+64Q0ycOFGEQiExefJksXr16tOq+5YtW8S8efNEQ0OD+O53v3vCfMfkj1gCAgICAsaO\nYHA3ICAgYJwROP6AgICAcUbg+AMCAgLGGYHjDwgICBhnBI4/ICAgYJwROP6AgICAccb/B4TIHXZ+\nqMoPAAAAAElFTkSuQmCC\n" }, { "output_type": "stream", "stream": "stdout", "text": "Simulation: 5000 * gauss(mu=100.0) for T=25000 steps with nearby1 doing random_split:\n\n top 1% top 10% top 25% top 33.3% median bot 33.3% bot 25% bot 10% bot 1% \nstart 177.55 142.07 122.37 113.99 100.02 85.68 77.74 57.62 23.26 \nmid 353.05 211.08 142.84 119.68 81.54 50.33 36.31 14.11 1.63 \nfinal 377.13 221.84 145.43 117.31 76.45 45.68 32.32 12.30 0.93 \n" }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD9CAYAAAC7iRw+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6S1BSpFYAAAAAElFTkSuQmCC\n" } ], "prompt_number": 374 }, { "cell_type": "markdown", "metadata": {}, "source": "We see that the nearby rule, which limits transactions to your 5 closest neighbors in either direction (out of 5000 total actors), has a negligible effect on the outcome. I found that fairly surprising. But the nearby1 rule, which lets you do business only with your immediate left or right neighbor does have a slight effect towards income equality. The bottom quarter still do poorly, but the top 1% only gets to about 85% of what they get under unconstrained trade." }, { "cell_type": "code", "collapsed": false, "input": "", "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }