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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dynamic Process: Single-Peaked Profiles (C.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:27.824418Z",
     "start_time": "2021-02-09T13:45:21.999726Z"
    }
   },
   "outputs": [],
   "source": [
    "from poisson_approval import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:27.833381Z",
     "start_time": "2021-02-09T13:45:27.828394Z"
    }
   },
   "outputs": [],
   "source": [
    "N_SAMPLES = 10000\n",
    "N_MAX_EPISODES = 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:27.847931Z",
     "start_time": "2021-02-09T13:45:27.839688Z"
    }
   },
   "outputs": [],
   "source": [
    "RANKINGS_SP = ['abc', 'acb', 'bac', 'cab']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:27.883098Z",
     "start_time": "2021-02-09T13:45:27.856130Z"
    }
   },
   "outputs": [],
   "source": [
    "rand_profile = RandProfileHistogramUniform(n_bins=1, orders=RANKINGS_SP)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Condorcet consistency:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:28.729042Z",
     "start_time": "2021-02-09T13:45:27.893753Z"
    }
   },
   "outputs": [],
   "source": [
    "results = monte_carlo_fictitious_play(\n",
    "    factory=rand_profile,\n",
    "    n_samples=N_SAMPLES,\n",
    "    n_max_episodes=N_MAX_EPISODES,\n",
    "    voting_rules=VOTING_RULES,\n",
    "    init='random_tau',\n",
    "    monte_carlo_settings=[\n",
    "        MCS_FREQUENCY_CW_WINS\n",
    "    ],\n",
    "    file_save='sav/single_peaked_profiles.sav',\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:28.741014Z",
     "start_time": "2021-02-09T13:45:28.731040Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9924"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(results[APPROVAL]['mean_frequency_cw_wins'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:28.776796Z",
     "start_time": "2021-02-09T13:45:28.744005Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6608"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(results[PLURALITY]['mean_frequency_cw_wins'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-02-09T13:45:28.835716Z",
     "start_time": "2021-02-09T13:45:28.780772Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7468768805486792"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(results[ANTI_PLURALITY]['mean_frequency_cw_wins'])"
   ]
  }
 ],
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   "title_cell": "Table of Contents",
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