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aopell/Monopoly_Simulation.ipynb

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Simulating games of Monopoly to determine which spaces are most common to land on
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Monopoly_Simulation.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Monopoly Simulation.ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "code",
"metadata": {
"id": "aWqBOcx0OATp",
"colab_type": "code",
"colab": {}
},
"source": [
"import random\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"sns.set(style=\"darkgrid\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "e_oQJlSvQZ9u",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "3fbbf8f0-100c-4d85-a5ac-1f9337a49470"
},
"source": [
"spaces = pd.DataFrame(columns=[\"name\"], data=[\"GO\", \"Mediterranean Avenue\", \"Community Chest (1)\", \"Baltic Avenue\", \"Income Tax\", \n",
" \"Reading Railroad\", \"Oriental Avenue\", \"Chance (1)\", \"Vermont Avenue\", \"Connecticut Avenue\",\n",
" \"Jail / Just Visiting\", \"St. Charles Place\", \"Electric Company\", \"State Avenue\", \"Virginia Avenue\",\n",
" \"Pennsylvania Railroad\", \"St. James Place\", \"Community Chest (2)\", \"Tennessee Avenue\", \"New York Avenue\",\n",
" \"Free Parking\", \"Kentucky Avenue\", \"Chance (2)\", \"Indiana Avenue\", \"Illinois Avenue\",\n",
" \"B&O Railroad\", \"Atlantic Avenue\", \"Ventnor Avenue\", \"Water Works\", \"Marvin Gardens\",\n",
" \"Go to Jail\", \"Pacific Avenue\", \"North Carolina Avenue\", \"Community Chest (3)\", \"Pennsylvania Avenue\",\n",
" \"Short Line\", \"Chance (3)\", \"Park Place\", \"Luxury Tax\", \"Boardwalk\"])\n",
"\n",
"def shuffle_deck():\n",
" card_list = list(range(16))\n",
" np.random.shuffle(card_list)\n",
" return card_list\n",
"\n",
"chance_cards = shuffle_deck()\n",
"community_chest_cards = shuffle_deck()\n",
"\n",
"reverse_colors = {\"purple\": [1, 3],\n",
" \"lightblue\": [6, 8, 9],\n",
" \"pink\": [11, 13, 14],\n",
" \"orange\": [16, 18, 19],\n",
" \"red\": [21, 23, 24],\n",
" \"yellow\": [26, 27, 29],\n",
" \"green\": [31, 32, 34],\n",
" \"blue\": [37, 39] }\n",
"color_name_map = {}\n",
"\n",
"spaces['color'] = [\"black\"] * 40\n",
"for c, l in zip(reverse_colors, reverse_colors.values()):\n",
" spaces.loc[l, \"color\"] = c\n",
"\n",
"spaces['type'] = [\"property\"] * 40\n",
"spaces.loc[[5, 15, 25, 35], \"type\"] = \"railroad\"\n",
"spaces.loc[[2, 17, 33], \"action\"] = \"community_chest\"\n",
"spaces.loc[[7, 22, 36], \"action\"] = \"chance\"\n",
"spaces.loc[spaces.action.notna(), \"type\"] = \"card\"\n",
"spaces.loc[[12, 28], \"type\"] = \"utility\"\n",
"spaces.loc[[4, 38], \"type\"] = \"tax\"\n",
"spaces.loc[[0, 10, 20, 30], \"type\"] = \"other\"\n",
"spaces.loc[30, \"action\"] = \"jail\"\n",
"spaces"
],
"execution_count": 69,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>color</th>\n",
" <th>type</th>\n",
" <th>action</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>GO</td>\n",
" <td>black</td>\n",
" <td>other</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Mediterranean Avenue</td>\n",
" <td>purple</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Community Chest (1)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>community_chest</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Baltic Avenue</td>\n",
" <td>purple</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Income Tax</td>\n",
" <td>black</td>\n",
" <td>tax</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>Reading Railroad</td>\n",
" <td>black</td>\n",
" <td>railroad</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>Oriental Avenue</td>\n",
" <td>lightblue</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>Chance (1)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>chance</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>Vermont Avenue</td>\n",
" <td>lightblue</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>Connecticut Avenue</td>\n",
" <td>lightblue</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>Jail / Just Visiting</td>\n",
" <td>black</td>\n",
" <td>other</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>St. Charles Place</td>\n",
" <td>pink</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>Electric Company</td>\n",
" <td>black</td>\n",
" <td>utility</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>State Avenue</td>\n",
" <td>pink</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>Virginia Avenue</td>\n",
" <td>pink</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>Pennsylvania Railroad</td>\n",
" <td>black</td>\n",
" <td>railroad</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>St. James Place</td>\n",
" <td>orange</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>Community Chest (2)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>community_chest</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>Tennessee Avenue</td>\n",
" <td>orange</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>New York Avenue</td>\n",
" <td>orange</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>Free Parking</td>\n",
" <td>black</td>\n",
" <td>other</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>21</th>\n",
" <td>Kentucky Avenue</td>\n",
" <td>red</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>Chance (2)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>chance</td>\n",
" </tr>\n",
" <tr>\n",
" <th>23</th>\n",
" <td>Indiana Avenue</td>\n",
" <td>red</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>Illinois Avenue</td>\n",
" <td>red</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>B&amp;O Railroad</td>\n",
" <td>black</td>\n",
" <td>railroad</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>Atlantic Avenue</td>\n",
" <td>yellow</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>Ventnor Avenue</td>\n",
" <td>yellow</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>Water Works</td>\n",
" <td>black</td>\n",
" <td>utility</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>29</th>\n",
" <td>Marvin Gardens</td>\n",
" <td>yellow</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>30</th>\n",
" <td>Go to Jail</td>\n",
" <td>black</td>\n",
" <td>other</td>\n",
" <td>jail</td>\n",
" </tr>\n",
" <tr>\n",
" <th>31</th>\n",
" <td>Pacific Avenue</td>\n",
" <td>green</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>32</th>\n",
" <td>North Carolina Avenue</td>\n",
" <td>green</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>33</th>\n",
" <td>Community Chest (3)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>community_chest</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34</th>\n",
" <td>Pennsylvania Avenue</td>\n",
" <td>green</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>35</th>\n",
" <td>Short Line</td>\n",
" <td>black</td>\n",
" <td>railroad</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>36</th>\n",
" <td>Chance (3)</td>\n",
" <td>black</td>\n",
" <td>card</td>\n",
" <td>chance</td>\n",
" </tr>\n",
" <tr>\n",
" <th>37</th>\n",
" <td>Park Place</td>\n",
" <td>blue</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>38</th>\n",
" <td>Luxury Tax</td>\n",
" <td>black</td>\n",
" <td>tax</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>39</th>\n",
" <td>Boardwalk</td>\n",
" <td>blue</td>\n",
" <td>property</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" name color type action\n",
"0 GO black other NaN\n",
"1 Mediterranean Avenue purple property NaN\n",
"2 Community Chest (1) black card community_chest\n",
"3 Baltic Avenue purple property NaN\n",
"4 Income Tax black tax NaN\n",
"5 Reading Railroad black railroad NaN\n",
"6 Oriental Avenue lightblue property NaN\n",
"7 Chance (1) black card chance\n",
"8 Vermont Avenue lightblue property NaN\n",
"9 Connecticut Avenue lightblue property NaN\n",
"10 Jail / Just Visiting black other NaN\n",
"11 St. Charles Place pink property NaN\n",
"12 Electric Company black utility NaN\n",
"13 State Avenue pink property NaN\n",
"14 Virginia Avenue pink property NaN\n",
"15 Pennsylvania Railroad black railroad NaN\n",
"16 St. James Place orange property NaN\n",
"17 Community Chest (2) black card community_chest\n",
"18 Tennessee Avenue orange property NaN\n",
"19 New York Avenue orange property NaN\n",
"20 Free Parking black other NaN\n",
"21 Kentucky Avenue red property NaN\n",
"22 Chance (2) black card chance\n",
"23 Indiana Avenue red property NaN\n",
"24 Illinois Avenue red property NaN\n",
"25 B&O Railroad black railroad NaN\n",
"26 Atlantic Avenue yellow property NaN\n",
"27 Ventnor Avenue yellow property NaN\n",
"28 Water Works black utility NaN\n",
"29 Marvin Gardens yellow property NaN\n",
"30 Go to Jail black other jail\n",
"31 Pacific Avenue green property NaN\n",
"32 North Carolina Avenue green property NaN\n",
"33 Community Chest (3) black card community_chest\n",
"34 Pennsylvania Avenue green property NaN\n",
"35 Short Line black railroad NaN\n",
"36 Chance (3) black card chance\n",
"37 Park Place blue property NaN\n",
"38 Luxury Tax black tax NaN\n",
"39 Boardwalk blue property NaN"
]
},
"metadata": {
"tags": []
},
"execution_count": 69
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "vztiCJLDdFCr",
"colab_type": "code",
"colab": {}
},
"source": [
"def iprint():\n",
" pass\n",
"\n",
"def roll():\n",
" roll1 = random.randint(1, 6)\n",
" roll2 = random.randint(1, 6)\n",
" iprint(1, f\"Rolled {roll1} + {roll2} = {roll1 + roll2}\")\n",
" return (roll1 + roll2, roll1 == roll2)\n",
"\n",
"class Player:\n",
" def __init__(self):\n",
" self.position = 0\n",
" self.in_jail = False\n",
" self.goojf_count = 0\n",
" self.jail_turns = 0\n",
" self.turns = 0\n",
" self.moves = []\n",
" self.landing_spots = []\n",
" \n",
" def __str__(self):\n",
" return f\"At: {spaces.loc[self.position]['name']} | In Jail: {self.in_jail} | Jail Turns: {self.jail_turns} | GOOJF Cards: {self.goojf_count} | Turn: {self.turns} | Moves: {len(self.moves)}\"\n",
"\n",
" def __repr__(self):\n",
" return self.__str__()\n",
"\n",
" def print_status(self, indent):\n",
" iprint(indent, f\"At: {spaces.loc[self.position]['name']}\")\n",
" if self.in_jail:\n",
" iprint(indent, f\"In jail for {self.jail_turns} turns\")\n",
" elif self.jail_turns > 0:\n",
" iprint(indent, f\"Not in jail, but jail_turns is set to {self.jail_turns}\")\n",
" if self.goojf_count > 0:\n",
" iprint(indent, f\"{self.goojf_count} get out of jail free cards\")\n",
"\n",
" def take_turn(self, silent=False):\n",
" global iprint\n",
" if silent:\n",
" iprint = lambda a, b: None\n",
" else:\n",
" iprint = lambda a, b: print(\"%s+ %s\" % (\" \"*a, b))\n",
" self.turns += 1\n",
" iprint(0, f\"Starting turn {self.turns}\")\n",
" self.print_status(1)\n",
" self.move()\n",
" self.landing_spots.append(self.position)\n",
" iprint(1, f\"Turn {self.turns} over\")\n",
" \n",
" def move(self, doubles_rolled = 0):\n",
" def go(p):\n",
" self.position = p\n",
" self.goto(p)\n",
" total, doubles = roll()\n",
" pos = (self.position + total) % 40\n",
"\n",
" if self.in_jail and self.goojf_count > 0:\n",
" iprint(1, \"Used get out of jail free card\")\n",
" iprint(2, f\"{self.goojf_count} remaining\")\n",
" self.goojf_count -= 1\n",
" self.jail_turns = 0\n",
" self.in_jail = False\n",
"\n",
" if self.in_jail:\n",
" if doubles:\n",
" iprint(1, \"Rolled doubles to get out of jail\")\n",
" self.jail_turns = 0\n",
" self.in_jail = False\n",
" go(pos)\n",
" elif self.jail_turns == 2:\n",
" iprint(1, \"Spent 3 turns in jail, got out on bail\")\n",
" self.jail_turns = 0\n",
" self.in_jail = False\n",
" go(pos)\n",
" else:\n",
" self.jail_turns += 1\n",
" else:\n",
" if doubles:\n",
" if doubles_rolled == 2:\n",
" iprint(1, \"Rolled 3 doubles in a row, going to jail\")\n",
" self.jail()\n",
" else:\n",
" go(pos)\n",
" if not self.in_jail:\n",
" iprint(1, \"Moving again because doubles were rolled\")\n",
" self.move(doubles_rolled=doubles_rolled + 1)\n",
" else:\n",
" go(pos)\n",
"\n",
" def goto(self, space):\n",
" iprint(1, f\"Traveled to {spaces.loc[space]['name']}\")\n",
" self.moves.append(space)\n",
" action = spaces.loc[space][\"action\"]\n",
" if action == \"chance\":\n",
" self.chance()\n",
" if space != self.position:\n",
" self.goto(self.position)\n",
" if action == \"community_chest\":\n",
" self.community_chest()\n",
" if space != self.position:\n",
" self.goto(self.position)\n",
" if action == \"jail\":\n",
" self.jail()\n",
"\n",
" def jail(self):\n",
" iprint(2, \"Went to jail\")\n",
" self.position = 10\n",
" self.in_jail = True\n",
" self.jail_turns = 0\n",
" self.goto(self.position)\n",
"\n",
" def chance(self):\n",
" global chance_cards\n",
" iprint(2, \"Drawing a chance card\")\n",
" def nearest_utility():\n",
" if self.position == 22:\n",
" return 28\n",
" return 12\n",
" def nearest_railroad():\n",
" if self.position == 7:\n",
" return 15\n",
" if self.position == 22:\n",
" return 25\n",
" return 5\n",
" spots = [0, 24, 11, nearest_utility(), nearest_railroad(), self.position - 3, 5, 39]\n",
" if len(chance_cards) == 0:\n",
" iprint(3, \"No more chance cards! Shuffling deck.\")\n",
" chance_cards = shuffle_deck()\n",
" draw = chance_cards.pop()\n",
" iprint(3, f\"Drew card {draw}\")\n",
" if draw < 8:\n",
" iprint(4, f\"Drew 'advance to {spaces.loc[spots[draw]]['name']}'\")\n",
" self.position = spots[draw]\n",
" if draw == 8:\n",
" iprint(4, \"Drew a 'go to jail' card\")\n",
" self.position = 10\n",
" self.in_jail = True\n",
" if draw == 9:\n",
" iprint(4, \"Drew a 'get out of jail free' card\")\n",
" self.goojf_count += 1\n",
"\n",
" def community_chest(self):\n",
" global community_chest_cards\n",
" iprint(2, \"Drawing a community chest card\")\n",
" if len(community_chest_cards) == 0:\n",
" iprint(3, \"No more community chest cards! Shuffling deck.\")\n",
" community_chest_cards = shuffle_deck()\n",
" draw = community_chest_cards.pop()\n",
" iprint(3, f\"Drew card {draw}\")\n",
" if draw == 0:\n",
" iprint(4, \"'Advance to GO'\")\n",
" self.position = 0\n",
" if draw == 1:\n",
" iprint(4, \"'Go to Jail'\")\n",
" self.position = 10\n",
" self.in_jail = True\n",
" if draw == 2:\n",
" iprint(4, \"'Get out of Jail Free'\")\n",
" self.goojf_count += 1"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "mv0kJyghvj94",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "22c9b11b-e017-4b6e-f69a-11eb074bd272"
},
"source": [
"p = Player()\n",
"for i in range(10):\n",
" p.take_turn()"
],
"execution_count": 72,
"outputs": [
{
"output_type": "stream",
"text": [
"+ Starting turn 1\n",
" + At: GO\n",
" + Rolled 4 + 4 = 8\n",
" + Traveled to Vermont Avenue\n",
" + Moving again because doubles were rolled\n",
" + Rolled 5 + 3 = 8\n",
" + Traveled to St. James Place\n",
" + Turn 1 over\n",
"+ Starting turn 2\n",
" + At: St. James Place\n",
" + Rolled 4 + 2 = 6\n",
" + Traveled to Chance (2)\n",
" + Drawing a chance card\n",
" + Drew card 5\n",
" + Drew 'advance to New York Avenue'\n",
" + Traveled to New York Avenue\n",
" + Turn 2 over\n",
"+ Starting turn 3\n",
" + At: New York Avenue\n",
" + Rolled 5 + 1 = 6\n",
" + Traveled to B&O Railroad\n",
" + Turn 3 over\n",
"+ Starting turn 4\n",
" + At: B&O Railroad\n",
" + Rolled 5 + 4 = 9\n",
" + Traveled to Pennsylvania Avenue\n",
" + Turn 4 over\n",
"+ Starting turn 5\n",
" + At: Pennsylvania Avenue\n",
" + Rolled 1 + 5 = 6\n",
" + Traveled to GO\n",
" + Turn 5 over\n",
"+ Starting turn 6\n",
" + At: GO\n",
" + Rolled 2 + 6 = 8\n",
" + Traveled to Vermont Avenue\n",
" + Turn 6 over\n",
"+ Starting turn 7\n",
" + At: Vermont Avenue\n",
" + Rolled 6 + 1 = 7\n",
" + Traveled to Pennsylvania Railroad\n",
" + Turn 7 over\n",
"+ Starting turn 8\n",
" + At: Pennsylvania Railroad\n",
" + Rolled 6 + 1 = 7\n",
" + Traveled to Chance (2)\n",
" + Drawing a chance card\n",
" + Drew card 9\n",
" + Drew a 'get out of jail free' card\n",
" + Turn 8 over\n",
"+ Starting turn 9\n",
" + At: Chance (2)\n",
" + 1 get out of jail free cards\n",
" + Rolled 5 + 1 = 6\n",
" + Traveled to Water Works\n",
" + Turn 9 over\n",
"+ Starting turn 10\n",
" + At: Water Works\n",
" + 1 get out of jail free cards\n",
" + Rolled 2 + 5 = 7\n",
" + Traveled to Short Line\n",
" + Turn 10 over\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "yqXhtRCIfvBH",
"colab_type": "code",
"colab": {}
},
"source": [
"# players = [Player() for i in range(1000)]\n",
"# for i in range(50):\n",
"# for p in players:\n",
"# p.take_turn(silent=True)\n",
"\n",
"players = []\n",
"for i in range(500):\n",
" game_players = [Player() for k in range(4)]\n",
" for t in range(50):\n",
" for g in game_players:\n",
" g.take_turn(silent=True)\n",
" players.extend(game_players)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "m_PPNyrV91uq",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 439
},
"outputId": "e0187a5f-32a2-4e36-b1b3-2046e6f21d22"
},
"source": [
"# all_spots = spaces.loc[players[0].moves]\n",
"# landing_spots = spaces.loc[players[0].landing_spots]\n",
"\n",
"landing_spots = pd.DataFrame(np.vstack(tuple([p.landing_spots for p in players])))\n",
"landing_spots\n",
"\n",
"move_spots = [p.moves for p in players]\n",
"max_len = max([len(x) for x in move_spots])\n",
"move_spots = pd.DataFrame(np.vstack(tuple([(x + [None] * (max_len - len(x))) for x in move_spots])))\n",
"move_spots"
],
"execution_count": 45,
"outputs": [
{
"output_type": "execute_result",
"data": {
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" <td>31</td>\n",
" <td>35</td>\n",
" <td>38</td>\n",
" <td>4</td>\n",
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" <td>21</td>\n",
" <td>31</td>\n",
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" <td>36</td>\n",
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" <td>21</td>\n",
" <td>28</td>\n",
" <td>36</td>\n",
" <td>5</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
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" <tr>\n",
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" <td>12</td>\n",
" <td>22</td>\n",
" <td>24</td>\n",
" <td>32</td>\n",
" <td>2</td>\n",
" <td>13</td>\n",
" <td>23</td>\n",
" <td>29</td>\n",
" <td>34</td>\n",
" <td>2</td>\n",
" <td>10</td>\n",
" <td>13</td>\n",
" <td>20</td>\n",
" <td>28</td>\n",
" <td>37</td>\n",
" <td>6</td>\n",
" <td>11</td>\n",
" <td>20</td>\n",
" <td>32</td>\n",
" <td>39</td>\n",
" <td>7</td>\n",
" <td>13</td>\n",
" <td>16</td>\n",
" <td>24</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>16</td>\n",
" <td>23</td>\n",
" <td>33</td>\n",
" <td>4</td>\n",
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" <td>22</td>\n",
" <td>11</td>\n",
" <td>17</td>\n",
" <td>27</td>\n",
" <td>31</td>\n",
" <td>38</td>\n",
" <td>7</td>\n",
" <td>10</td>\n",
" <td>22</td>\n",
" <td>31</td>\n",
" <td>39</td>\n",
" <td>6</td>\n",
" <td>12</td>\n",
" <td>19</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>36</td>\n",
" <td>5</td>\n",
" <td>16</td>\n",
" <td>25</td>\n",
" <td>33</td>\n",
" <td>2</td>\n",
" <td>4</td>\n",
" <td>12</td>\n",
" <td>18</td>\n",
" <td>27</td>\n",
" <td>32</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>10</td>\n",
" <td>15</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1995</th>\n",
" <td>11</td>\n",
" <td>17</td>\n",
" <td>22</td>\n",
" <td>25</td>\n",
" <td>37</td>\n",
" <td>6</td>\n",
" <td>12</td>\n",
" <td>15</td>\n",
" <td>24</td>\n",
" <td>29</td>\n",
" <td>39</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>17</td>\n",
" <td>10</td>\n",
" <td>17</td>\n",
" <td>24</td>\n",
" <td>28</td>\n",
" <td>32</td>\n",
" <td>0</td>\n",
" <td>10</td>\n",
" <td>17</td>\n",
" <td>0</td>\n",
" <td>4</td>\n",
" <td>11</td>\n",
" <td>14</td>\n",
" <td>19</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>15</td>\n",
" <td>20</td>\n",
" <td>27</td>\n",
" <td>35</td>\n",
" <td>5</td>\n",
" <td>11</td>\n",
" <td>20</td>\n",
" <td>32</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>14</td>\n",
" <td>25</td>\n",
" <td>31</td>\n",
" <td>35</td>\n",
" <td>5</td>\n",
" <td>12</td>\n",
" <td>15</td>\n",
" <td>17</td>\n",
" <td>0</td>\n",
" <td>12</td>\n",
" <td>19</td>\n",
" <td>27</td>\n",
" <td>34</td>\n",
" <td>2</td>\n",
" <td>8</td>\n",
" <td>15</td>\n",
" <td>20</td>\n",
" <td>23</td>\n",
" <td>31</td>\n",
" <td>2</td>\n",
" <td>11</td>\n",
" <td>16</td>\n",
" <td>25</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1996</th>\n",
" <td>5</td>\n",
" <td>15</td>\n",
" <td>24</td>\n",
" <td>32</td>\n",
" <td>35</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>15</td>\n",
" <td>21</td>\n",
" <td>25</td>\n",
" <td>35</td>\n",
" <td>5</td>\n",
" <td>10</td>\n",
" <td>16</td>\n",
" <td>20</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>36</td>\n",
" <td>10</td>\n",
" <td>18</td>\n",
" <td>22</td>\n",
" <td>5</td>\n",
" <td>10</td>\n",
" <td>17</td>\n",
" <td>23</td>\n",
" <td>27</td>\n",
" <td>35</td>\n",
" <td>37</td>\n",
" <td>2</td>\n",
" <td>7</td>\n",
" <td>15</td>\n",
" <td>22</td>\n",
" <td>19</td>\n",
" <td>26</td>\n",
" <td>29</td>\n",
" <td>0</td>\n",
" <td>8</td>\n",
" <td>13</td>\n",
" <td>18</td>\n",
" <td>22</td>\n",
" <td>24</td>\n",
" <td>35</td>\n",
" <td>38</td>\n",
" <td>4</td>\n",
" <td>12</td>\n",
" <td>21</td>\n",
" <td>32</td>\n",
" <td>3</td>\n",
" <td>13</td>\n",
" <td>20</td>\n",
" <td>23</td>\n",
" <td>29</td>\n",
" <td>1</td>\n",
" <td>6</td>\n",
" <td>17</td>\n",
" <td>22</td>\n",
" <td>19</td>\n",
" <td>26</td>\n",
" <td>34</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1997</th>\n",
" <td>8</td>\n",
" <td>17</td>\n",
" <td>24</td>\n",
" <td>29</td>\n",
" <td>0</td>\n",
" <td>5</td>\n",
" <td>10</td>\n",
" <td>15</td>\n",
" <td>22</td>\n",
" <td>27</td>\n",
" <td>37</td>\n",
" <td>3</td>\n",
" <td>7</td>\n",
" <td>15</td>\n",
" <td>19</td>\n",
" <td>26</td>\n",
" <td>37</td>\n",
" <td>0</td>\n",
" <td>5</td>\n",
" <td>11</td>\n",
" <td>19</td>\n",
" <td>29</td>\n",
" <td>36</td>\n",
" <td>0</td>\n",
" <td>11</td>\n",
" <td>20</td>\n",
" <td>24</td>\n",
" <td>26</td>\n",
" <td>36</td>\n",
" <td>7</td>\n",
" <td>24</td>\n",
" <td>27</td>\n",
" <td>34</td>\n",
" <td>38</td>\n",
" <td>7</td>\n",
" <td>17</td>\n",
" <td>27</td>\n",
" <td>38</td>\n",
" <td>6</td>\n",
" <td>11</td>\n",
" <td>22</td>\n",
" <td>29</td>\n",
" <td>38</td>\n",
" <td>2</td>\n",
" <td>7</td>\n",
" <td>11</td>\n",
" <td>19</td>\n",
" <td>25</td>\n",
" <td>35</td>\n",
" <td>39</td>\n",
" <td>10</td>\n",
" <td>20</td>\n",
" <td>27</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>17</td>\n",
" <td>0</td>\n",
" <td>10</td>\n",
" <td>16</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>10</td>\n",
" <td>16</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1998</th>\n",
" <td>3</td>\n",
" <td>7</td>\n",
" <td>4</td>\n",
" <td>16</td>\n",
" <td>25</td>\n",
" <td>29</td>\n",
" <td>36</td>\n",
" <td>11</td>\n",
" <td>17</td>\n",
" <td>19</td>\n",
" <td>31</td>\n",
" <td>38</td>\n",
" <td>9</td>\n",
" <td>21</td>\n",
" <td>26</td>\n",
" <td>36</td>\n",
" <td>12</td>\n",
" <td>18</td>\n",
" <td>29</td>\n",
" <td>36</td>\n",
" <td>12</td>\n",
" <td>23</td>\n",
" <td>28</td>\n",
" <td>35</td>\n",
" <td>5</td>\n",
" <td>14</td>\n",
" <td>21</td>\n",
" <td>32</td>\n",
" <td>37</td>\n",
" <td>1</td>\n",
" <td>11</td>\n",
" <td>18</td>\n",
" <td>22</td>\n",
" <td>0</td>\n",
" <td>4</td>\n",
" <td>10</td>\n",
" <td>17</td>\n",
" <td>26</td>\n",
" <td>34</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>11</td>\n",
" <td>16</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>1</td>\n",
" <td>10</td>\n",
" <td>18</td>\n",
" <td>22</td>\n",
" <td>39</td>\n",
" <td>9</td>\n",
" <td>14</td>\n",
" <td>25</td>\n",
" <td>36</td>\n",
" <td>10</td>\n",
" <td>18</td>\n",
" <td>27</td>\n",
" <td>34</td>\n",
" <td>38</td>\n",
" <td>3</td>\n",
" <td>8</td>\n",
" <td>17</td>\n",
" <td>24</td>\n",
" <td>29</td>\n",
" <td>0</td>\n",
" <td>12</td>\n",
" <td>17</td>\n",
" <td>22</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1999</th>\n",
" <td>7</td>\n",
" <td>0</td>\n",
" <td>6</td>\n",
" <td>14</td>\n",
" <td>19</td>\n",
" <td>27</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>18</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>2</td>\n",
" <td>10</td>\n",
" <td>19</td>\n",
" <td>26</td>\n",
" <td>30</td>\n",
" <td>10</td>\n",
" <td>20</td>\n",
" <td>22</td>\n",
" <td>31</td>\n",
" <td>38</td>\n",
" <td>2</td>\n",
" <td>12</td>\n",
" <td>18</td>\n",
" <td>24</td>\n",
" <td>34</td>\n",
" <td>4</td>\n",
" <td>12</td>\n",
" <td>16</td>\n",
" <td>27</td>\n",
" <td>33</td>\n",
" <td>4</td>\n",
" <td>12</td>\n",
" <td>21</td>\n",
" <td>29</td>\n",
" <td>37</td>\n",
" <td>3</td>\n",
" <td>5</td>\n",
" <td>12</td>\n",
" <td>24</td>\n",
" <td>31</td>\n",
" <td>38</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>15</td>\n",
" <td>21</td>\n",
" <td>32</td>\n",
" <td>1</td>\n",
" <td>9</td>\n",
" <td>17</td>\n",
" <td>22</td>\n",
" <td>25</td>\n",
" <td>29</td>\n",
" <td>38</td>\n",
" <td>1</td>\n",
" <td>13</td>\n",
" <td>18</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" <td>None</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>2000 rows × 75 columns</p>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4 5 6 ... 68 69 70 71 72 73 74\n",
"0 7 10 20 26 29 34 5 ... None None None None None None None\n",
"1 6 13 20 25 31 34 2 ... None None None None None None None\n",
"2 9 18 28 30 10 12 21 ... None None None None None None None\n",
"3 5 12 18 23 30 10 17 ... None None None None None None None\n",
"4 2 12 22 24 32 2 13 ... None None None None None None None\n",
"... .. .. .. .. .. .. .. ... ... ... ... ... ... ... ...\n",
"1995 11 17 22 25 37 6 12 ... None None None None None None None\n",
"1996 5 15 24 32 35 1 8 ... None None None None None None None\n",
"1997 8 17 24 29 0 5 10 ... None None None None None None None\n",
"1998 3 7 4 16 25 29 36 ... 30 10 None None None None None\n",
"1999 7 0 6 14 19 27 30 ... None None None None None None None\n",
"\n",
"[2000 rows x 75 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 45
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "KGQ-75KUCcrn",
"colab_type": "code",
"colab": {}
},
"source": [
"HUE_ORDER = [\"black\", \"purple\", \"lightblue\", \"pink\", \"orange\", \"red\", \"yellow\", \"green\", \"blue\"]\n",
"COLORMAP = {\"black\": \"black\",\n",
" \"purple\": \"purple\",\n",
" \"lightblue\": \"skyblue\",\n",
" \"pink\": \"magenta\",\n",
" \"orange\": \"orange\",\n",
" \"red\": \"red\",\n",
" \"yellow\": \"yellow\",\n",
" \"green\": \"green\",\n",
" \"blue\": \"blue\" }\n",
"\n",
"def create_player_plot(players, x='name', include_jail=True, source=landing_spots):\n",
" if isinstance(players, (list, tuple)):\n",
" data = spaces.loc[pd.Series(np.array(source.loc[players]).flatten()).dropna()]\n",
" else:\n",
" data = spaces.loc[source.loc[players]]\n",
" if not include_jail:\n",
" data = data[data['name'] != 'Jail / Just Visiting']\n",
" COLORS = [COLORMAP[cl] for cl in spaces.set_index(x).loc[data[x].value_counts().index]['color']]\n",
" sns.countplot(data=data, x=x, order=data[x].value_counts().index, palette=COLORS)\n",
" plt.xticks(rotation=90)\n",
"\n",
"def create_turn_plot(turns, x='name'):\n",
" if isinstance(turns, (list, tuple)):\n",
" data = spaces.loc[np.array(landing_spots.loc[:, turns]).flatten()]\n",
" else:\n",
" data = spaces.loc[landing_spots.loc[:, turns]]\n",
" COLORS = [COLORMAP[cl] for cl in spaces.set_index(x).loc[data[x].value_counts().index]['color']]\n",
" sns.countplot(data=data, x=x, order=data[x].value_counts().index, palette=COLORS)\n",
" plt.xticks(rotation=90)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "MEa6nb5EFpfC",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 492
},
"outputId": "4d906b7c-b439-4c3a-f159-c91337f17633"
},
"source": [
"create_player_plot(list(range(len(players))), include_jail=False)\n",
"plt.title(\"Monopoly\\nEnd of Turn Landing Positions\\n500 Games of 50 Turns\\n4 Players Per Game\\n100000 Total Turns\\nExcluding Jail/Just Visiting\")\n",
"plt.xlabel(\"Space Name\")\n",
"plt.ylabel(\"Count\");"
],
"execution_count": 73,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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Kt/9kh9wJEyZgwoQJyMjIwMyZM7Fjxw7MnDlT63zNzc3RrFkzHDp0CK1bt9Zq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\n5rhCdiOH0QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "KSEVAZn1n2sA",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 477
},
"outputId": "4e1c52ab-f982-4cb8-f23a-09aef0663002"
},
"source": [
"create_player_plot(list(range(len(players))), include_jail=True)\n",
"plt.title(\"Monopoly\\nEnd of Turn Landing Positions\\n500 Games of 50 Turns\\n4 Players Per Game\\n100000 Total Turns\")\n",
"plt.xlabel(\"Space Name\")\n",
"plt.ylabel(\"Count\");"
],
"execution_count": 74,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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PEsjlcvTr1w+BgYG4f/++Sq/S5ubmmDx5MgYOHFhm/S/3VDx69GiMHj0aycnJ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\nhdLiUGdDoVAolBbn/wGICOwHdzpzzwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "OiooXwSnNqoK",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 492
},
"cellView": "both",
"outputId": "12e896a0-1cfd-4bbe-b541-2d06cba76a00"
},
"source": [
"create_player_plot(list(range(len(players))), include_jail=False, source=move_spots)\n",
"plt.title(\"Monopoly\\nAll Landing Positions (Including Mid-Turn)\\n500 Games of 50 Turns\\n4 Players Per Game\\n100000 Total Turns\\nExcluding Jail/Just Visiting\")\n",
"plt.xlabel(\"Space Name\")\n",
"plt.ylabel(\"Count\");"
],
"execution_count": 75,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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4REdH48KFC9i4caOw+mR1MjIyEB0dDSsrKwDA+vXrcfv2bYSFheHw4cNIS0sT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\nLfz0ks3a8AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JnM2Dvb7p5KW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 477
},
"outputId": "6f355a39-8c63-455d-bbda-78c63b967b07"
},
"source": [
"create_player_plot(list(range(len(players))), include_jail=True, source=move_spots)\n",
"plt.title(\"Monopoly\\nAll Landing Positions (Including Mid-Turn)\\n500 Games of 50 Turns\\n4 Players Per Game\\n100000 Total Turns\")\n",
"plt.xlabel(\"Space Name\")\n",
"plt.ylabel(\"Count\");"
],
"execution_count": 76,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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9+xAWFobz588jOjoa4eHhuHz5Mr7++mvh7pPVycjIQHh4OKysrAAAa9euRUJC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\nOBQBAQEBAV74PzZL9z9r+NaXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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