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@fbkarsdorp
Created April 28, 2019 20:24
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Paths to Polarization: How Extreme Views, Miscommunication, and Random Chance Drive Opinion Dynamics\n",
"\n",
"By *Matthew A. Turner and Paul E. Smaldino* In: *Complexity* Volume 2018, Article ID 2740959, 17 pages https://doi.org/10.1155/2018/2740959"
]
},
{
"cell_type": "code",
"execution_count": 547,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.LineCollection at 0x13d7c6e48>"
]
},
"execution_count": 547,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import cmocean\n",
"plt.style.use('bmh')\n",
"\n",
"G = nx.connected_caveman_graph(20, 5)\n",
"\n",
"plt.figure(figsize=(6, 6))\n",
"pos = nx.kamada_kawai_layout(G)\n",
"nx.draw_networkx_nodes(G, pos, node_color=range(100), node_size=200, cmap=cmocean.cm.phase, alpha=0.5)\n",
"nx.draw_networkx_edges(G, pos, alpha=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"def add_long_ties(G, n):\n",
" while n > 0:\n",
" a = b = np.random.choice(G.nodes())\n",
" while b == a:\n",
" b = np.random.choice(list(set(G.nodes()) - set(G.neighbors(a))))\n",
" G.add_edge(a, b)\n",
" n -= 1"
]
},
{
"cell_type": "code",
"execution_count": 549,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"add_long_ties(G, 20)\n",
"\n",
"plt.figure(figsize=(6, 6))\n",
"nx.draw_networkx_nodes(G, pos, node_color=range(100), node_size=200, \n",
" cmap=cmocean.cm.phase, alpha=0.5)\n",
"nx.draw_networkx_edges(G, pos, alpha=0.5)\n",
"plt.savefig(\"network.png\", dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": 490,
"metadata": {},
"outputs": [],
"source": [
"import tqdm\n",
"from scipy.spatial.distance import cityblock, cdist\n",
"\n",
"def dist_fn(u, v):\n",
" return 1 - (abs(v - u).sum() / v.shape[0])\n",
"\n",
"def update_weights(G, agent):\n",
" K = G.node[agent]['opinions'].shape[0]\n",
" for neighbor in G.neighbors(agent):\n",
" distance = dist_fn(\n",
" G.node[agent]['opinions'], G.node[neighbor]['opinions'])\n",
" G[agent][neighbor]['weight'] = distance\n",
"\n",
"def update_opinions(G, agent, noise=0):\n",
" K = G.node[agent]['opinions'].shape[0]\n",
" noise = noise * np.random.normal(size=K)\n",
" neighbors = list(G.neighbors(agent))\n",
" delta_s = (1. / (2 * len(neighbors))) * np.array([\n",
" G[agent][neighbor]['weight'] * \n",
" (G.node[neighbor]['opinions'] - G.node[agent]['opinions'])\n",
" for neighbor in neighbors]).sum(0)\n",
" opinions = G.node[agent]['opinions']\n",
" idx = opinions > 0\n",
" opinions[idx] = opinions[idx] + ((noise[idx] + delta_s[idx]) * (1 - opinions[idx]))\n",
" opinions[~idx] = opinions[~idx] + ((noise[~idx] + delta_s[~idx]) * (1 + opinions[~idx]))\n",
" \n",
"def polarization(G):\n",
" opinions = np.array([data['opinions'] for _, data in G.nodes(data=True)])\n",
" dm = (1.0 / opinions.shape[1]) * cdist(opinions, opinions, metric='cityblock')\n",
" return dm[np.triu_indices(opinions.shape[0], k=1)].var()\n",
"\n",
"def simulate(G, n_iter=1000, long_range_ties=False):\n",
" history = []\n",
" for i in range(n_iter):\n",
" agents = list(G.nodes())\n",
" np.random.shuffle(agents)\n",
" for agent in agents:\n",
" update_weights(G, agent)\n",
" update_opinions(G, agent)\n",
" history.append(polarization(G))\n",
" if i == 500 and long_range_ties:\n",
" add_long_ties(G, 20)\n",
" return history"
]
},
{
"cell_type": "code",
"execution_count": 482,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Time')"
]
},
"execution_count": 482,
"metadata": {},
"output_type": "execute_result"
},
{
"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": [
"G = nx.connected_caveman_graph(20, 5)\n",
"S, K = 1, 1\n",
"\n",
"# initialize opinion values for K opinions\n",
"for agent, data in G.nodes(data=True):\n",
" data['opinions'] = np.random.uniform(-S, S, K)\n",
"\n",
"# initialize weight between agents\n",
"for agent in G.nodes():\n",
" update_weights(G, agent)\n",
"\n",
"p = simulate(G, n_iter=1000)\n",
"plt.plot(p)\n",
"plt.title(f\"P = {polarization(G):.2f}\");\n",
"plt.ylabel(\"Polarization\")\n",
"plt.xlabel(\"Time\")"
]
},
{
"cell_type": "code",
"execution_count": 488,
"metadata": {},
"outputs": [],
"source": [
"def experiment(S, K, runs=50, long_range_ties=False):\n",
" scores = []\n",
" for run in range(runs):\n",
" G = nx.connected_caveman_graph(20, 5)\n",
"\n",
" # initialize opinion values for K opinions\n",
" for agent, data in G.nodes(data=True):\n",
" data['opinions'] = np.random.uniform(-S, S, K)\n",
"\n",
" # initialize weight between agents\n",
" for agent in G.nodes():\n",
" update_weights(G, agent)\n",
"\n",
" simulate(G, n_iter=1000, long_range_ties=long_range_ties)\n",
" scores.append(polarization(G))\n",
" return scores"
]
},
{
"cell_type": "code",
"execution_count": 484,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
" 0%| | 0/5 [00:00<?, ?it/s]\u001b[A\n",
" 20%|██ | 1/5 [08:52<35:28, 532.14s/it]\u001b[A\n",
" 40%|████ | 2/5 [17:46<26:38, 532.89s/it]\u001b[A\n",
" 60%|██████ | 3/5 [26:47<17:50, 535.14s/it]\u001b[A\n",
" 80%|████████ | 4/5 [35:46<08:56, 536.31s/it]\u001b[A\n",
"100%|██████████| 5/5 [44:50<00:00, 538.76s/it]\u001b[A"
]
}
],
"source": [
"results = []\n",
"for K in tqdm.tqdm((1, 2, 3, 5, 10)):\n",
" scores = experiment(1, K)\n",
" for score in scores:\n",
" results.append((K, score))\n",
"results = pd.DataFrame(results, columns=['K', 'P'])"
]
},
{
"cell_type": "code",
"execution_count": 487,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ydj5bz6gLG/Vhoz5cvHJRUhIQkd8FvgQ8BTwHeBR4LvBTINBJYFtrnI7G+kXr+0anSz6GzPUePpopSxKIx9d+jGpBXdioDxv14eKVi1JbB/018E5jzEXAeOHvu4GDnkQVQHZvbeJAmZqKDg8Pl+U41YC6sFEfNurDxSsXpXaD7TLG/MuCdTcDKeC/lzek8tLeEF3yV397w+q6YF/Q2UBPZpqhiRwtG9Y2zVtra+uaXl9NqAsb9WGjPly8clFqEugXkQ5jTB/wjIjsBgZYB/0E3nFxeWbAjIRDvHBzI/cdG+HVO9b2ZoyOjmovyALqwkZ92KgPF69clFoc9AWc2cUAPgH8CGe6yevLHlGAubRQL7BWdKIMF3Vhoz5s1IeLVy5KbR300aLlW0TkbiBhjHnck6gCyiVbmvjUz44xPTNLfV2p+XMx2vbZRV3YqA8b9eHiSz+BOUTkGhG5cO65MeaoMeZxEfmgJ1EFlKZYHee2buAXJ0bXdBxt++yiLmzUh436cPHKRak/Z/8C+J6I/P6C9f+jzPEEnt1dTWuedlKbvbmoCxv1YaM+XPxuIjoFvBL4mIj8VdH6UofgqRp2bU1y39ERZtfQe1gnynBRFzbqw0Z9uHjlotQkYIwxD+H0GH6JiHxLRBpwxhCqKc5KxohHQhweOP0R/TIZbyawX4+oCxv1YaM+XLxyUWoSEABjTBq4DOgF7meJIaZrgd1rbCXU1tZWxmjWN+rCRn3YqA8Xr1yU2k/gprkFY8wMcLWI/FfgzV4EFXR2bU3ymQM9XPXCTSW/5qafnyA95jTxmpicZEOhfK+9IVq2vgzrkUwmQyKR8DuMwKA+bNSHi1cuSm0i+t4l1n0O+FzZI1oHnH9GgvRYlv6xLGeU2PM4PZadH8MoMztJsrC8mjGMqpFcLvAD0VYU9WGjPly8crFsEhCRzxtj3l1YvmW5/YwxV5VyIhG5HPgkTi/jG4wx1y2xzxuBa3HqGh4yxry1lGNXmnBIuGRLE/cezXDF+e2rfr32gHTRduA26sNGfbj40U/g6aLlX5/isSIiEgY+DbwaOB94i4icv2Cf7cCHgBcbY54D/EmJ1+ALu7aefr3A2NhYmaNZv2g7cBv1YaM+XCo+n4Ax5m9h/gv8GPAVY8zpzm92CXDYGHOkcMyvAlcCjxXt81+ATxtjhgvnD/Qk9i/c3MTH7znKRDbPhujqhlCKRLTZ2xxa3mujPmzUh4tXLlasEzDG5EXk42ucPGYzTiKZowe4dME+5wGIyH/gFBlda4z594UH6u/vZ9++fdTV1ZHP59m7dy/79+8nlUqRSCQIh8OMjIzQ3t7O0NAQxhja29vp6+ubL4YZGxujo6ODdDqNiNDS0kI6naapqYl8Ps/4+DidnZ2kUikikQjJZJKBgQGSySTZbJbJyUk6Ozs5uynE9x85ysvPa2dwcJDm5mYmJyeZmpqaf30sFiMej/NYb4Yn03XMzubJ52eJRqeZmckhIpw8eZJMJkNbWxuZTIZcLjf/+kpfUyqVIhqN0tjYuOI1DQ8P09rayujoKNlsdn57PB4nGo2WdE319fX09PRU1TWt5X0aHByksbGxqq5pLe/TyMiI9fpquKbTfZ8GBweJx+OnfU3LIaVMmSgiXwS+Zoz59oo7L/36NwCXG2PeVXj+NuBSY8x7ivb5DpAD3ogzif09wAXGmJPFxzpw4IDZuXPn6YRRdv710TRPDkzwgd/auuK+v//Fh8nPOq7zs7OEQ05JXDgk/MvbLjzVS6ua7u5utm5d2V+toD5s1IfLWlwcOnTo4J49ey5ealupTURjwNdF5ADOL/r5zFFixfBxYEvR87MK64rpAe4rzFv8tIg8CWwHHigxxoqzqyvJlx5MkZ81hEOn7jw9M2vmJ7wPh0KIOMurmfC+GmlvX33FejWjPmzUh4tXLkrtLPYI8L9xhpA+zCorhnG+yLeLyDkiEsXpX3D7gn2+BbwMQETacIqHjpR4fF/oaIzSuqGOJ/rHV9w3P2uIhkNEwyHC4i7P3R3UKkNDQ36HECjUh436cPHKRan9BP5yLScxxsyIyHuAO3HK+280xjwqIh8Bfm6Mub2w7ZUi8hiQBz5gjBlcy3krwa6uJAeOZnhOpzb7PB1KKY6sJdSHjfpw8cpFqcVBFH7B7wDaKBo4zhjzw1Jeb4y5A7hjwbpripYN8P7CY92wqyvJ391zlHddsvmU++VmDZmpmcIzAzlneabG7wT0dt9GfdioDxdfi4NE5DeBbuDHwPeAr+P8cr/Bk6jWEee1b2BseobjmdJ7/uqPG5e+vj6/QwgU6sNGfbh45aLUOoFPAB8zxrQAo4W/fwV8xpOo1hEhkZKmnYzVhYhHnEesToqWT3+GsmpAe0/bqA8b9eHilYtSv4HOwxnyoZjrgPeVN5z1ya4SksAZDVFa4hFa4hE2xsLzy6WOPaQoiuIFpSaBDNBUWO4tDPnQDGiaBi7a3MhTAxOMTs8su8+21jgvOnsjLzp7I89rq5tf3tZa2zMn6RAaNurDRn24eOWi1CRwG/CawvKNOE1FD+LUDdQ8sboQF25q4IFjIyXtn0ho7pyjo6PD7xAChfqwUR8uXrkotYnonxQt/52I3IdzF3CnJ1GtQ+Ymmnn5tpYltz/YO8bY007nZ2PMfGexhljJDbSqknQ6zZYtW1besUZQHzbqw8UrF6f1DWSM+Um5A1nvXNKV5Av3nyCXnyUSXnyDFRHY3r4BgOnpaerrnfkEBgoTzdQqc8lQcVAfNurDxSsXp5pP4CeUMIewMealZY1ondK6IcLmZD2PpMa5aHPjKfeN1NXkrJxL0tKy9J1TraI+bNSHi1cuTnUnUPN9AFbLXCuhlZJALpelPhyrUFTBJp1O6wBhRagPG/Xh4pWLU80ncHPZz1bl7O5Kcu33j/CHuzaf8tYtXFfb9QDFNDU1rbxTDaE+bNSHi1cuSu6pJCLvFJEfisivCn/f6UlE65hzWmLMGkP3yVPPvaPjobjk83m/QwgU6sNGfbh45aLUYSP+J/BB4KvAHxX+/llhvVJARNjdleRA9+KOYy2JKANjWecxnptfbknUdmex8fGVR2CtJdSHjfpw8cpFqeUS7wJeZozpnlshInfiTPzyN14Etl65tCvJlw6leMvz7UmhP/G68+aXi1sH1To6kbiN+rBRHy5+TDRfTAJIL1g3CNR2d9cluHBTA90npxiezC27j06e7aIubNSHjfpw8cpFqUng34Evi8gOEYmLyE7gZrSz2CKi4RAv2NzI/afoPRyJaBPROdSFjfqwUR8uXrkoNQm8BxgFHgbGgF8A48B7PYlqnbNcvcAcyWSygtEEG3Vhoz5s1IeLVy5KSgLGmJHCXMJxYBOwwRhz1cJJ4BWHS7Y08YsTo2RnZpfcPjAwUOGIgou6sFEfNurDxSsXp0wCItIhIl8RkYdF5Cag2RjTb4xZ+ttNAaApVsezWuP8ond0ye3668ZFXdioDxv14eKVi5VaB30G2Ah8Fvg94B+At3kSSZWxqyvJvd0jXLLFeeNu+vkJ0oVxgianpojHnJuo9oYo77j4TN/i9JtstrbHTlqI+rBRHy5euVgpCbwEOM8Yc1JEvgY86EkUVcjuriR/fsdh3mvOQkQ40H2SuamZc7kskYjTYezw4ERNJ4HJyUm/QwgU6sNGfbh45WKlJBCbK/c3xgyISMKTKKqQLRtjxCIhDg9Osr1tA/1jOSJhJwkYAzLjNCHN5Wu797C2A7dRHzbqw8UrFyslgUhheIi5gXDqReQ/F+9gjLnRk8iqgF2FVkLb2zYwkZtFCl0HDK7Q2k4BTttnHSDMRX3YqA8Xr1yslATuA64qen4/dp2AwZlpTFmCXV1JPntvD1e9cBMGmJ9moCgLLNOAqGaIRmt72IyFqA8b9eHilYtTJgFjzMs8OWuN8JyOBH1jWdLjToWO9YVf67cABRobTz3sdq2hPmzUh4tXLkoeRVRZPeGQcMmWJu49RcexWmdwcNDvEAKF+rBRHy5eudAk4DHORDOlTUBfizQ3N/sdQqBQHzbqw8UrF5oEPObis5p4tG8McKoB5iqEi5drGW0CaKM+bNSHi1cuNAl4TCIaZke707LW4FYFFC/XMlNTp56Ap9ZQHzbqw8UrF6uZWWyniPyFiHy66PmFnkRVZezeql3fl0PbgduoDxv14eLrfAIi8vs4E8hsxm0i2gB83JOoqoxdXTpP6nLoePE26sNGfbj4PZ/AR4BXGGP+EJib6PIh4HmlnkhELi/MT3xYRD54iv1+T0SMiFxc6rGDTmejM4tYfVjYEAkRD8OGSIgNkVDNl8fFYjG/QwgU6sNGfbh45aLU6SXPwJlLAE6jWFtEwsCngVcAPcADInK7MeaxBfs1An+M00mt6pjOG0Jzw0TknU4DlawXKB7Erhg/B7GLx3VyumLUh436cPHKRak/RA+yePTQN+P0IC6FS4DDxpgjxpgszkT1Vy6x318BHwWqrjZorjVQLBIiGnb+xiKhirYQSo9l6WisX/RYKjFUiuHhYd/OHUTUh436cPHKRal3An8E3CUi+4BEYZL584BXlvj6zcCxouc9wKXFO4jIC4Atxph/E5EPlHjcdcPcL/6JXKHbcL7y40UcHpzk14OLm5n52UqptbXVx7MHD/Vhoz5cvHJRUhIwxjxRmFf4tcB3cL7Qv2OMGStHECISwqlkfsdK+/b397Nv3z7q6urI5/Ps3buX/fv3k0qlSCQShMNhRkZGaG9vZ2hoCGMM7e3t9PX10dDQAMDY2BgdHR2k02lEhJaWFtLpNE1NTeTzecbHx+ns7CSVShGJREgmkwwMDJBMJslms0xOTs5vj0ajNDY2Mjg4SHNzM5OTk0xNTc1vj8ViK97GnTx5kkwmQ1tbG5lMhlwuN//6cl5T/1iWELMIgoSE2dlZRELMzM7S3d296msaHh6mtbWV0dFRstns/PZ4PE40Gi3pmuauPyjvUzmuaS3vU19fH9u2bauqa1rL+9Tb20ssFquqazrd9+n48eOcffbZp31Ny37/GuP970AR2Q1ca4x5VeH5hwCMMX9beJ4Efo0zfzFAJzAEXGGM+XnxsQ4cOGB27tzpeczl5pU32FMxFI8iete7LqpIDK/+pwepCy0ugJqZNXx3X2ViWEh3d7eOElmE+rBRHy5rcXHo0KGDe/bsWbKxTUl3AiLyE5YuNZjGKdq5zRjz7VMc4gFgu4icAxzHqU9469xGY0wGaCs6393Af1+YAKoJP4pgjHHGM1qIn3MaaDtwG/Vhoz5cfO0nANwNnA38GPhS4e9W4OdAH3CjiPzZci82xswA7wHuBB4HvmaMeVREPiIiV5x29MqqEIH8rFn0EB/Hr9B24Dbqw0Z9uHjlotSK4VcCrzLGPD63QkS+DNxsjLlURG4DbgU+ttwBjDF3AHcsWHfNMvu+rMS4lHWONgG0UR826sPF7yaiO4EjC9Z1AzsAjDH3Ax1ljKum+LcnBqhE3UwQ0UlDbNSHjfpw8cpFqUngHuCfRWSbiMREZBvwBeCnACJyAdDrSYQ1wHceH+DD3zvC8GTO0/PE6kLEI4sfsTr/+i1nMjrXQjHqw0Z9uHjlotT//rcX9n0MGAceBcK4TTqzwFvKHVyt8H+vOI+tzXGuvu0JDng4AU1dWJjJm0WPurB/lQJtbW0r71RDqA8b9eHilYtS+wkMAW8utOdvB9LGmNmi7b/yJLoaIRIOse83zuSSLU187O5u7j2a4Q93bSYeCZf1PBPZ/NIbllldCTKZDIlEwr8AAob6sFEfLl65WG05QALYAJwtIs8SkWeVPaIa5oLOBj67dyczs4arv/krHu8fL+vxc7MwaxY/cj5Odp/LeVsEtt5QHzbqw8UrF6X2Ezgf+DLOqKEGp6/TXE1meX+u1jiJaJgP/NZWfvL0ST581xFe++w23npR55KdvE4HH7sELIm2A7dRHzbqw8XvfgKfAX4EtAAjQDPwOZy6AsUDXnLORq5//U6eSI/zvm8/SU+mPGPq1YUWP/xE24HbqA8b9eHi93wCzwP+3BhzEmeoiQzwAZxRPxWPaE1E+JtXnctl21r4k9uf5DuPr70paX528cNPtLzXRn3YqA8Xr1yUmgSmgEhheUBEugqv1SHEL3gxAAAZtElEQVT+PEZEuPI57Xz8tedxxxMDXHPXEYYnTr9s0Czx8JNwWEsTi1EfNurDxSsXpSaBnwBvLCx/HfguztARP/QiKGUxXc0xPnnFeTyrJc7V33yCn3Wf9DuksjA3kqjioD5s1IeLVy5KbSL6xqKn/wN4BGgEbvEiqGplqard1fwSj4RDvLPQlPSjP+7m3u4Rrt5delPSuYlt1hJDuWlvb/fx7MFDfdioDxevXKx4JyAiYRG5W0TqAYwxs8aYLxljrjfGlLcNY42w1i/d53Q2cP3rd2IwXP3NJ3isr7S3wQCzSzz8TAJDQ0M+nj14qA8b9eHilYsV7wSMMfnCENC1Pif6mjHLLJ8OiWiYP33pVn769En+8vtHeM3ONv5TCU1Jl2oNNONj5bCfYyYFcc7lWh1DajnUh4tXLkr9Yv9L4HoR2Vq4MwjNPTyJqgoJARsiIedRJ/PLaxX4m+ds5DOv38mT6Qne9+0nOXby1E1JZ2YXP/zEz9v9IM65rMUfNurDxbfioAI3AFfhjCSaBXLATOGvUgKzOPMLT+RmmZgx88vl+A5u3RDhr1/1LF6xvYX3f+cpvv1YetlfDWFZ/PCTvr4+fwMIGOrDRn24eOWi1PkEzvHk7DXG3BeuMcxP5FKuHrwiwhXnt3PRmY189O5u7js2wvtf0kXLhoi1X9B6DK80/2mtoT5s1IeLVy5KuhMwxnQbY7pxJpjPzj0vrFNKIATU14UKD3e53OVpWzbG+IcrzmNbq9OU9D+eqY6mpIqieENJ30EislFEvoLTaexwYd0VIvLXXgZXTdhTO+Lp1I51IeEdF5/JNZedw+fvO87f39O9/AiiPjM2NuZ3CIFCfdioDxevXJRaHPRZYBhnXuHHCusOAH8P/C8P4qo6YnUhIoXyIGMMUvj293KS9+d0OE1JP3vvca7+5hOenWctdHT4NyHdidEsj6QW/2O1JPybzcpPH0FEfbh45aLUJLAHONMYkxMRA2CMSYvIGZ5EVYU01Ydpa3C+XKanp6mvrwdgwOOWKBuiYd7/0i7+45mT/OX3n/b0XKdDOp1my5Ytvpz7zMYoF53ZuGh93+i0D9E4+OkjiKgPF69clJoEMkAbRVNIFsYP0iklS+TkdJ6+seJOXTMA1Ecq08r2xWdvrMh5Vot4UR62jlEfNurDxSsXq2ki+g0R+W0gJCK7gZtxiomUEggBTbEwTbEwjfWh+eVa72jR0tLidwiBQn3YqA8Xr1yU+h30UeD/AZ/GGU30RuBfgU96ElUVkp81RMMhouEQYdzl/Gww2mzedzTDrA+9M9PpdMXPGWTUh436cPHKRakDyBmcL3z90i8DoVDwfv/ffLCXz913nL3PPYPLtrcQq9BsM01NTRU5z1IcHpzk14OTi9b7mZb99BFE1IeLVy5KnV7yIeBLwK3GmB5PIqlycrOGzJRTD+C0DnL6Cs8E5E7g07+7g1+mxvjGL9PcfLCX1+xs5Yrz22ld0Nms3OTzfjZdNZiAjavqr4/goT5cvHJRasXwtcBbgA+LyEHgK8C/GGN0iL8SMQbChcHdZmcNoZD3TURXg4hw4aZGLtzUyPHMFN98NM27v/E4l3Yl+b3ntnNu6wZPzjs+Pk5bW5snx16Jba0b6GisX7Tez9ZBfvoIIurDxSsXpRYHfRP4pog0AntxEsLHReQHxpgryh5VFRIOQa5oLsd8YTkcvJIhNidjvOdFW7jqBZv47q8G+Ys7j3DWxnr2PvcMLtnSRKiMrRT8nEg8iMVBOrG6jfpw8cpFqXcCABhjRgs9h08CUeA1nkRVhZyVjM0XPGRzWaIRp89AMO4DlqYpVsebntfB3ue2c8/TJ7nlYC+fL3O9QSqVYuvWrWWIdvVM5fLzfTeK8brvxqnw00cQUR8uXrkotU5AgJcDbwVeD3TjFAm9vewRVSnbWuPzRQ+jo6M0NjqdlPwseiiVSDjEnm0tvPzcZn6ZGucbj/Q79QY7CvUGidOvN4hEvK1zWG+oDxv14eKVi1LvBE4AY8BXgRcbYx73JJoaIRZbXA5dKdZSDerUGzRw4aYGt97gtrXVGySTyVW/plzEIiHGphdXtsUq1IFvKfz0EUTUh4tXLkpNAlcaY+5fuFJEQsYYn6clWR+0N0Tnf/WPjY/TkEjMr68k5Sp+WqreYHOynt+7YHX1BgMDAyQKLipNECuG/fQRRNSHi1cuSh1K2koAInKBiPwdUHJzURG5XER+JSKHReSDS2x/v4g8JiIPi8gPRKRqCwKjVXSLO1dvcPObzufyHa3ccrCXd339cb79WJqpEqYt0196NurDRn24+H0ngIi049QJvB14HvAT4I9LfG0Yp7fxK3ASxwMicrsx5rGi3R4ELjbGTIjI1cDHgDeVGl/QmZvKEGB8fIZEwlleD3UCpbBUvcEth1Ir1htks/5VwgZxFFE/fQQR9eHilYtTJgERiQBXAO8AXoUzl8CtOENKv9EY01/ieS4BDhtjjhSO+1XgStxhqTHG/Kho/3uBPyjx2OuOmZnqnZXTrjeY5luP9p+y3mBycnETzUoxkZ0hFgkvud4v/PQRRNSHi1cuVroT6MOZHvcm4MPGmEMAIvLfVnmezTizks3RA1x6iv33Ad9d5TnWDbUyZd7mZD37X7SFq164iTueWLrewM924FO52cA1EdV28Tbqw8WvfgIPA7+J84X9lIg8bYwZ9iSSAiLyB8DFwG8ttb2/v599+/ZRV1dHPp9n79697N+/n1QqRSKRIBwOMzIyQnt7O0NDQxhjaG9vp6+vb/7Ld2xsjI6ODtLpNCJCS0sL6XSapqYm8vk84+PjdHZ2kkqliEQiJJNJBgYGSCaTZLNZJicn57dHo1EaGxsZHBykubmZyclJpqam5rfHYjHi8Thj4+M01wvZ7DTj4xO0tbUyNjbGZFY4efIkmUyGtrY2MpkMuVxu/vXlvKZT0d3dveprGh4eprW1ldHRUbLZ7Pz2eDxONBqdv6bRTIZdG3O89vXb+LeHjnLjfce4/meGl58V5TfaQzQl4r68T/3jOQYmcsyNmyfC/HJvb+8pr8mr9+nEiRPs2LGjrJ+9Ut8nLz97p/s+9fT0kEgkquqaTvd9Onr0KOeee+5pX9Oy37lmhZEjCxW0VxUeXcBdOF/QzzbGHD/li91j7AauNca8qvD8QwDGmL9dsN9lwD8Cv7VcUdOBAwfMzp07SzltoPg/dz8zXycwNjZKQ4PbT+ADLzu7IjG88oYHl91217suqkgM4Iyd9MvUOLc90s8ve0d47bPPWHN/g9MhKD6K6e3tZdOmTb6cO4ioD5e1uDh06NDBPXv2XLzUthVbBxUmlP8rY8x2nBnGenGKiB4SkY+VGMMDwHYROUdEosCbgduLdxCRi4DPAVesoq5h3TDXRLRvdJqTudD8cqWbiAaBuXqDa1/xLK57RRcTuTzvvu1xPnb3MxwemPA7PF+Z60SoOKgPF69crKpXjDHmp8aYdwOdwHuBC0p83QzwHuBO4HHga8aYR0XkIyIyN/bQ/wEagH8RkV+IyO3LHG7dMz3tX4sgWeLhJ9HsKPtftIWb3ng+ZzfHueZ7R/jAvz3FgW5/5jfwm8HBQb9DCBTqw8UrF6saO2gOY8wUTiuhW1fxmjuAOxasu6Zo+bLTiWW9UNxEdGOU+TmGK91ENLTEt76fA5k2NzcD0Fhfxxuf18HeC87gniPDfOnBXr5w/3Fe/5x2LtveQnyJVjzVyJwPxUF9uHjlIoBjWFY/fjURjYScJLDw4eMoCYuavdWFhJdva+FTV+7gfS/p4uDxUa76f4/xzw+cYHC8epvWzqFNIm3Uh4tfTUQVD5iZ8acd+lnJetY2elD5mZqaWnK9iHBBZwMXdC7ob7Clib3PPYNtbd7Mb+A3y/moVdSHi1cuNAn4gF/9BHZv3Uh6iTbwflZOl9L2ubi/wXefGOSa7x1hc5Mzv8GlXeWd38BvtF28jfpwCcR8Akp5GBsbI5ncWPHzvuPiMyt+zpVYzRjpxfUGP3m6OusNdPx8G/Xh4ut8AsraKR5FdDIrTBWWK/kr/Kafn1j2TsCvBBGLxVb9mrqQ8NvntvCyZzXzSN843/ilM07Rq3e0cqUP/Q3Kyen4qGbUh4tXLjQJVIjiL9mRkRGampoqHsOB7sySNQKHByd9SwLxePy0X7u43iC97usN1uKjGlEfLl650NZBPjA87OnIG8sylcuTqA8vekzlFk+sUinK5cKpNzhr3fc38OuzEVTUh4tXLvROwAdaW1v9DiEwlNvFwnqDLz+YKsyLvD7qDfSzYaM+XLxyoXcCPjA6Oup3CIHBKxdz9Qb/eOV5vP+lXRwq9De4MeD9DfSzYaM+XDz7X/HkqMop0YkyXLx2UVxvcGJkmm8+4tQbXLKl8nUypaCfDRv14eLLpDKKN/jV9jmIE6tX0sWZTU69wVUv7OS7vxoEglferO3ibdSHi1cutDjIB1KplC/n3b11I9ta44seu7dWvs/CHH64aKyv440Xdpxyn289mua+oxm6hyeZLmGu5HLh12cjqKgPF69c6J2AD/jV7C2IncWC2gTw2Mkp7j+WITWapW8sS2N9mM6GejY1RdnUWE9nY5TORud564ZI2XotB9WHX6gPF69caBLwgWi09uYQWI6gunjvi7fML88aw+BEjt6RLKnRaVKjWR48MUpqdJDe0WnGpvOc0RB1E0Ojmyg2NdWTiJbeIimoPvxCfbh45UKTgA9kMhk2bvSvCCZIrAcXIRHaE1HaE1Eu3LR43KfpmVn6RrP0jk7TO+okikf6xkmNTJMay1IXEichFBJEZ1M9nQ1OgjijIUpd0fje68FHJVEfLl650CTgA21tbX6HEBiqwUV9XYiu5hhdzYu79RtjyEzNFJKDkyB+1T/Bj48M0zuSZWgiR8uGyHySaIkJW2eG6CzcSWyM1SFVNEDeaqmGz8daKB7qZWZmhrqnnwHKO9SLJgEfyGQyJBIJv8MIBNXuQkTYGI+wMR7h2Wcsvs6ZWUP/mJMcekezPHVikOOjeXoLdxa5vHHuHhrr6Syqj9jUGKWjsZ5YXXW37aj2z8dKHOg+ydzw7zO5HHURZ1ysw4MTmgTWM7lccDsrVZpad1EXEs5squfMJmemue74uDVS5Hg27ySIQn3EogrraHi+gnquPmLuLqItUb4Ka7+o9c/HVG6WtsIgk9MmR329U780sMRAkKeLJgEf0LbPLurCZqGPRDTMua0bOLd18WB4cxXWqdEsvSNOhfUvTozSW6iwHp3O07Ggwnq+4nqVFdZ+oZ8PF60YriJ0jHQXv12EAzbn8mp8FFdYX9B56grrVOHvI33j9BWKnoorrBcmijMaIkTC/hc1+f35CBLZbJZ6D4aT1iTgA7VcxrkQP12EcCp1FzKVq1znsIWU08dqK6yfTE9wz9OLK6w7FzR5rWSFtf6vuITC3ty5aRLwgbBHb+Z6RF3YVMpHKRXW6bHiZq9ZDnRn5pvAZvNmwV2EkyDKXWFd65+PWCTMeGGol5m8oW42P7++XGgS8IGRkRGam5v9DiMQ+OlCBPKzi8t+/KxLDcpnoy4kzpd6ocJ6IfMV1qNZUiPT9GSm+XnPKL2j01aFdXFymCtyat0QIRwqTXJQfPjF7q3J+SaiY+PjNCScXsPlnJFQk4APtLe3+x1CYPDTRUM0zMwSScDPZpfr5bOxUoX10ETOaeZqVVg7dxQj0zOckYjOt2iyOtI1Rmmod7+W1osPryhuBjoxMcGGDeWfLU+TgA8MDQ158mauR/x08TvPblt2zmW/qIbPRkiEtkSUthUqrFNjTtPX3tFpHusbn7+zmKuw7mysp4Fptp/ZNp8oglJh7QdefTY0CfiAWUfTHXqNny6COKBeLXw2VqqwHpnO0zviJIRf9fTz1IBdYd28oW5Ri6ZNhaE4Nsart4e1V58NTQI+UOu3uMWoC5ta9yEiJGN1JGN17Dwjwe7NcWJFzSKLK6ydZq9OhXVqzCl6mp7vYb14tNfOdd7D2qvPhiYBH+jr69O2zwXUhY36sFnoY7UV1sdH3Arr/rEsiWh4yRZNq62w9gOvPhuaBHygoWFxOWmtoi5s1IfNan2UWmE9NxTHQydGubNwR2FVWDc4YzUVV1oXV1j7gVefDU0CiqLUBCVVWI9lrbGaiiuswyKL7h6qocJak4APjI2N0dra6ncYgUBd2KgPm0r6qK8L0bUxRtfGlSusU6PT8xXWqdEsg+NLV1jP/S1HhbVXLiqWBETkcuCTQBi4wRhz3YLt9cAtwAuBQeBNxphnKhVfJenoOPX8trWEny5eecODy267610XVTASF/1s2ATFx8IK64XMVVjPjdHUO5rlwNHM/OB+0/M9rBdXWHc0RIkv0wN48Wd0aH6pXJ/RiiQBEQkDnwZeAfQAD4jI7caYx4p22wcMG2O2icibgY8Cb6pEfJUmnU6zZcuWlXesAdSFjfqwWS8+iiusL6Jx0Xarwno0O19hnSr0sJ6rsO6YSxSFJq8Vib0iZ4FLgMPGmCMAIvJV4EqgOAlcCVxbWP468CkREVOFDaertR3z6aAubNSHTbX4KKXCev4uYiTLQ71j3DkyXZHYKpUENgPHip73AJcut48xZkZEMkArMFC8U39/P/v27aOuro58Ps/evXvZv38/qVSKRCJBOBxmZGSE9vZ2hoaGMMbQ3t5OX1/ffO362NgYHR0dpNNpRISWlhbS6TRNTU3k83nGx8fp7OwklUoRiURIJpMMDAyQTCbJZrNMTk7Ob49GozQ2NjI4OEhzczOTk5NMTU3Nb4/FYsTjcYaHh2ltbWV0dJSpqSmmp6dJpVLE43Gi0SiZTIa2tjYymQy5XG7+9evlmrLZ7Pz21VxTY2MjPT09vlzTqejt7T3ta1rL+1T82QjS++TXZ88YQ3d3d1Vd03LvU+P0MGdvamW0IUs2C52dW3ndFx9b9jM69zkp9ZqWQyrxQ1tE3gBcbox5V+H524BLjTHvKdrnkcI+PYXnvy7sYyWBAwcOmJ07d3oes5d0d3drW/ACfroIYp2AfjZsat1HuT6jhw4dOrhnz56Ll9pWqTZNx4Higr2zCuuW3EdE6oAkTgVx1dHU1OR3CIFBXdioDxv14T2VSgIPANtF5BwRiQJvBm5fsM/twNsLy28AfliN9QEA+Xze7xACg7qwUR826sN7KlInUCjjfw9wJ04T0RuNMY+KyEeAnxtjbgf+CfiiiBzGaQf15krE5gfj4+O0tbX5HUYg8NOFX0U+p0I/Gza17qP4M+pV0VjF+gkYY+4A7liw7pqi5Sng9ysVj5/o5Nku6sJGfdioDxevXKzPfs7rnFQq5XcIgUFd2KgPG/Xh4pULTQI+8K1vfcvvEAKDurBRHzbqw8UrF5oEfOC2227zO4TAoC5s1IeN+nDxyoUmAR+YmZnxO4TAoC5s1IeN+nDxykVFOouVkx/84AdpoNvvONbC0NBQW0tLy8DKe1Y/6sJGfdioD5c1uti6Z8+eJacmW3dJQFEURSkfWhykKIpSw2gSUBRFqWE0CVQIEdkiIj8SkcdE5FER+WO/YwoCIhIWkQdF5Dt+x+InIrJRRL4uIk+IyOMistvvmPxERN5X+D95RERuFZHF031VMSJyo4j0FwbWnFvXIiLfE5GnCn+by3EuTQKVYwb4U2PM+cAuYL+InO9zTEHgj4HH/Q4iAHwS+HdjzE7gedSwExHZDPwRcLEx5rk4Q81U7TAyy3ATcPmCdR8EfmCM2Q78oPB8zWgSqBDGmF5jzKHC8ijOP/lmf6PyFxE5C/gd4Aa/Y/ETEUkCL8UZPwtjTNYYc9LfqHynDogXRhTeAJzwOZ6KYoy5h+K5JB2uBG4uLN8M/G45zqVJwAdE5GzgIuA+fyPxnX8A/gyY9TsQnzkHSAP/XCgau0FEFk9kWyMYY44DfwccBXqBjDHmLn+jCgQdxpjewnIKKMsEzJoEKoyINADfAP7EGDPidzx+ISKvBfqNMQf9jiUA1AEvAK43xlwEjFOmW/31SKGs+0qc5HgmkBCRP/A3qmBRGGa/LO37NQlUEBGJ4CSALxtjar0//IuBK0TkGeCrwMtF5Ev+huQbPUCPMWbuzvDrOEmhVrkMeNoYkzbG5IDbgBf5HFMQ6BORTQCFv/3lOKgmgQohzozZ/wQ8boz5uN/x+I0x5kPGmLOMMWfjVPr90BhTk7/2jDEp4JiI7Cis2gMsP7ls9XMU2CUiGwr/N3uo4YryIoon3no78K/lOKgmgcrxYuBtOL94f1F4vMbvoJTA8F7gyyLyMPB84H/7HI9vFO6Ivg4cAn6J8z31eV+DqjAicitwANghIj0isg+4DniFiDyFc7d0XVnOpcNGKIqi1C56J6AoilLDaBJQFEWpYTQJKIqi1DCaBBRFUWoYTQKKoig1jCYBRVGUGkaTgKIoSg2jSUBR1oCI7BKRO0XkQPH4NiLyTRH5hoi8ys/4FGUltLOYoqwREbkduNUYc2vh+auAEWPMAX8jU5SV0SSgKGtARMLAAHA+cBJ4A/C9wnhAihJ4tDhIUdbGC3DGdm/Ame2pWxOAsp7QJKAoa+PlOHcAnTijPL7X33AUZXXU+R2Aoqxzfhv4pDHmJyLyKPC0iHQZY476HZiilILWCSjKaVKYJGgIONcY019Y91mc6RD/3NfgFKVEtDhIUU4DEXkB8NHC098prGsCEsDVIvJOv2JTlNWgdwKKoig1jN4JKIqi1DCaBBRFUWoYTQKKoig1jCYBRVGUGkaTgKIoSg2jSUBRFKWG0SSgKIpSw2gSUBRFqWE0CSiKotQw/x9T4mtXPyjLCQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(results['K'], results['P'], 's', alpha=0.5, color='#348ABD')\n",
"plt.plot(results.groupby('K')['P'].mean(), linewidth=1, color='#348ABD')\n",
"plt.ylabel(\"Average Polarization\")\n",
"plt.xlabel(\"$K$\");"
]
},
{
"cell_type": "code",
"execution_count": 491,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
" 0%| | 0/5 [00:00<?, ?it/s]\u001b[A\n",
" 20%|██ | 1/5 [08:58<35:55, 538.79s/it]\u001b[A\n",
" 40%|████ | 2/5 [17:58<26:57, 539.11s/it]\u001b[A\n",
" 60%|██████ | 3/5 [27:00<17:59, 539.93s/it]\u001b[A\n",
" 80%|████████ | 4/5 [36:20<09:06, 546.04s/it]\u001b[A\n",
"100%|██████████| 5/5 [45:30<00:00, 547.18s/it]\u001b[A"
]
},
{
"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": [
"results = []\n",
"for K in tqdm.tqdm((1, 2, 3, 5, 10)):\n",
" scores = experiment(1, K, long_range_ties=True)\n",
" for score in scores:\n",
" results.append((K, score))\n",
"results = pd.DataFrame(results, columns=['K', 'P'])\n",
"plt.plot(results['K'], results['P'], 's', alpha=0.5, color='#348ABD')\n",
"plt.plot(results.groupby('K')['P'].mean(), linewidth=1, color='#348ABD')\n",
"plt.ylabel(\"Average Polarization\")\n",
"plt.xlabel(\"$K$\");"
]
},
{
"cell_type": "code",
"execution_count": 543,
"metadata": {},
"outputs": [],
"source": [
"def plot_opinion_evolution(K, S, sigma, T, log):\n",
"\n",
" G = nx.connected_caveman_graph(20, 5)\n",
"\n",
" # initialize opinion values for K opinions\n",
" for agent, data in G.nodes(data=True):\n",
" data['opinions'] = np.random.uniform(-S, S, K)\n",
"\n",
" # initialize weight between agents\n",
" for agent in G.nodes():\n",
" update_weights(G, agent)\n",
"\n",
" history = []\n",
" for i in range(T + 1):\n",
" agents = list(G.nodes())\n",
" np.random.shuffle(agents)\n",
" for agent in agents:\n",
" update_weights(G, agent)\n",
" update_opinions(G, agent, noise=sigma)\n",
" if i in log:\n",
" history.append((i, np.array([data['opinions'] for _, data in G.nodes(data=True)])))\n",
" if i == 500:\n",
" add_long_ties(G, 20)\n",
"\n",
" fig, axes = plt.subplots(ncols=4, figsize=(12, 3))\n",
" for i, (t, opinions) in enumerate(history):\n",
" axes[i].scatter(opinions[:, 0], opinions[:, 1], color='#348ABD')\n",
" axes[i].set_title(f'$t={t}$')\n",
" P = polarization(G)\n",
" fig.suptitle(rf'$S={S}, K={K}, \\sigma={sigma}, P={P:.2f}$', y=1.1)\n",
" plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 544,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_opinion_evolution(2, 0.5, 0, T=1001, log=(0, 200, 500, 1000))"
]
},
{
"cell_type": "code",
"execution_count": 545,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_opinion_evolution(2, 0.5, 0.08, T=1001, log=(0, 200, 500, 1000))"
]
},
{
"cell_type": "code",
"execution_count": 546,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_opinion_evolution(2, 0.5, 0.2, T=1001, log=(0, 200, 500, 1000))"
]
},
{
"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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