{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Moran Process with the Axelrod library\n", "\n", "The [Moran process](https://en.wikipedia.org/wiki/Moran_process) is a common population model of natural selection. With the wealth of strategies in the [axelrod library](https://github.com/Axelrod-Python), implementing a Moran process is simple.\n", "\n", "The basic idea of the model is that we have a population of $N$ individuals. The population size is fixed throughout. Each round every player interacts with every other player, in this case the default game in the axelrod library, the [prisoner's dilemma](https://en.wikipedia.org/wiki/Prisoner's_dilemma).\n", "\n", "After the scores are summed for each player, we choose one to reproduce proportionally to its score ([fitness proportionate selection](https://en.wikipedia.org/wiki/Fitness_proportionate_selection)). We also choose one player to replace, at random uniformly. The process continues until the population consists of a single type ([fixation](https://en.wikipedia.org/wiki/Fixation_%28population_genetics%29)).\n", "\n", "The Moran process is natively supported in the axelrod library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import itertools\n", "import random\n", "\n", "import matplotlib.pyplot as plt\n", "import axelrod as axl\n", "plt.rcParams['figure.figsize'] = (10, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Moran Proccesses\n", "\n", "Let's create a population of players and run the population dynamic." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The winner is: Tit For Tat\n" ] } ], "source": [ "# Create a population of size 30\n", "N = 20\n", "players = []\n", "for _ in range(N):\n", " player = random.choice(axl.basic_strategies)\n", " players.append(player())\n", "\n", "# Run the process. Eventually there will be only\n", "# one player type left.\n", "mp = axl.MoranProcess(players=players, turns=200)\n", "mp.play()\n", "print(\"The winner is:\", mp.winning_strategy_name)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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bftnBiZPHuXd0FNs37MmJ99B+/vzpZyqWYJHAZ2+8QUhQEBmZmXQYPpymw7sx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\nwyplTKiq54wlR0ZGqtHR0U5rPzMzk5k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iF3Xvc9/zn49ff9/78JG//Eusra/vLfWdeO5z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\nz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "\n", "player_names = mp.populations[0].keys()\n", "\n", "plot_data = []\n", "labels = []\n", "for name in player_names:\n", " labels.append(name)\n", " values = [counter[name] for counter in mp.populations]\n", " plot_data.append(values)\n", " domain = range(len(values))\n", "\n", "plt.stackplot(domain, plot_data, labels=labels)\n", "plt.legend()\n", "plt.xlabel(\"Rounds\")\n", "plt.ylabel(\"Number of Individuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With Mutation\n", "\n", "We can also run a population with mutation. It will never converge so we need to limit the number of rounds." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed 1000 rounds.\n" ] } ], "source": [ "# Create a population of size 30\n", "N = 25\n", "players = []\n", "for _ in range(N):\n", " player = random.choice([axl.TitForTat, axl.Cooperator, axl.Defector])\n", " players.append(player())\n", "\n", "rounds = 1000\n", "mp = axl.MoranProcess(players=players, turns=200, mutation_rate=0.05)\n", "list(itertools.islice(mp, rounds))\n", "print(\"Completed {} rounds.\".format(rounds))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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CIlKVCfO8VJ2ciDqVpj82Ss3G2YybiOLCICwiVWvCPJdrwmhSSFM1vFKLJZsL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6rnTQC+Gfqbrkn7/H8APi2EuB7AzZheH7ouLcEYOwjg5wEcEUI8FdOJZq8CXZM2+G+Y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\nRBhBEARBEEQL/P9txHTYNLQXJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "\n", "player_names = mp.populations[0].keys()\n", "\n", "plot_data = []\n", "labels = []\n", "for name in player_names:\n", " labels.append(name)\n", " values = [counter[name] for counter in mp.populations]\n", " plot_data.append(values)\n", " domain = range(len(values))\n", "\n", "plt.stackplot(domain, plot_data, labels=labels)\n", "plt.legend()\n", "plt.xlabel(\"Rounds\")\n", "plt.ylabel(\"Number of Individuals\")\n", "plt.show()" ] }, { "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 }