Created
April 28, 2019 08:32
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Python code for "Social conformity despite individual preferences for distinctiveness"
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Social conformity despite individual preferences for distinctiveness\n", | |
| "\n", | |
| "By *Paul E. Smaldino and Joshua M. Epstein*" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 101, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "\n", | |
| "def ideal_position(d, pop): \n", | |
| " return pop.mean() + d * pop.std() \n", | |
| "\n", | |
| "def adjust_position(i, pop, d, k, fn): \n", | |
| " return pop[i] + k * (fn(d[i], pop) - pop[i])\n", | |
| "\n", | |
| "def simulate(T, N, d, k, population, history, fn=ideal_position):\n", | |
| " for i in range(T): \n", | |
| " js = np.arange(N) \n", | |
| " np.random.shuffle(js) \n", | |
| " for j in js: \n", | |
| " population[j] = adjust_position(j, population, d, k, fn) \n", | |
| " history[j, i] = population[j] " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "T = 500 # number of time steps\n", | |
| "N = 500 # population size\n", | |
| "k = 0.01 # adjustment rate\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, N))\n", | |
| "d = np.array([1] * N)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "simulate(T, N, d, k, population, history)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "plt.style.use('bmh')\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, N))\n", | |
| "d = np.array([3] * N)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 32, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "T = 1000\n", | |
| "s = 0.5\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "d = np.random.normal(loc=0.0, scale=s, size=N)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 33, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "T = 1000\n", | |
| "s = 1.5\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "d = np.random.normal(loc=0.0, scale=s, size=N)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 35, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "T = 3000\n", | |
| "s = 0.95\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "d = np.random.normal(loc=0.0, scale=s, size=N)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 36, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "T = 5000\n", | |
| "s = 1.0\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "d = np.random.normal(loc=0.0, scale=s, size=N)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 37, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "T = 1000\n", | |
| "s = 1.0\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "d = np.random.randint(0, 2, size=N).astype(np.float)\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history[d == 0]:\n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#A60628')\n", | |
| "\n", | |
| "for pos in history[d == 1]: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 97, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import scipy.stats as stats\n", | |
| "\n", | |
| "T = 3000\n", | |
| "s = 1.0\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "p = 0.06\n", | |
| "conformists = np.array([True] * int((1 - p) * N) + [False] * int(p * N))\n", | |
| "\n", | |
| "d_conf = stats.norm(-0.2, 0.3)\n", | |
| "d_non_conf = stats.norm(3, 0.1)\n", | |
| "\n", | |
| "d = np.array([\n", | |
| " d_conf.rvs() if c else d_non_conf.rvs() for c in conformists\n", | |
| "])\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history[conformists]:\n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#A60628')\n", | |
| "\n", | |
| "for pos in history[~conformists]: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 98, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import scipy.stats as stats\n", | |
| "\n", | |
| "T = 3000\n", | |
| "s = 1.0\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "p = 0.08\n", | |
| "conformists = np.array([True] * int((1 - p) * N) + [False] * int(p * N))\n", | |
| "\n", | |
| "d_conf = stats.norm(-0.2, 0.3)\n", | |
| "d_non_conf = stats.norm(3, 0.1)\n", | |
| "\n", | |
| "d = np.array([\n", | |
| " d_conf.rvs() if c else d_non_conf.rvs() for c in conformists\n", | |
| "])\n", | |
| "simulate(T, N, d, k, population, history)\n", | |
| "\n", | |
| "for pos in history[conformists]:\n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#A60628')\n", | |
| "\n", | |
| "for pos in history[~conformists]: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 104, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def ideal_position2(d, pop, eps=0.1): \n", | |
| " return pop.mean() + d * (pop.std() + eps)\n", | |
| "\n", | |
| "T = 5000\n", | |
| "population = np.random.uniform(-1, 1, N) \n", | |
| "history = np.zeros((N, T))\n", | |
| "p = 0.08\n", | |
| "conformists = np.array([True] * int((1 - p) * N) + [False] * int(p * N))\n", | |
| "\n", | |
| "d_conf = stats.norm(-0.2, 0.3)\n", | |
| "d_non_conf = stats.norm(3, 0.1)\n", | |
| "\n", | |
| "d = np.array([\n", | |
| " d_conf.rvs() if c else d_non_conf.rvs() for c in conformists\n", | |
| "])\n", | |
| "simulate(T, N, d, k, population, history, fn=ideal_position2)\n", | |
| "\n", | |
| "for pos in history[conformists]:\n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#A60628')\n", | |
| "\n", | |
| "for pos in history[~conformists]: \n", | |
| " plt.plot(pos, linewidth=0.5, alpha=0.2, color='#348ABD')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "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": "3.7.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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