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edwardchalstrey1edwardchalstrey1
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check if pandas duplications error exists if we dont save outputs on notebooks
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‎doc/tutorials/01_quickstart.ipynb‎

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"cell_type": "code",
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"cell_type": "code",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"pygambit.gambit.Game"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"outputs": [],
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"source": [
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"n_strategies = [2, 2]\n",
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"g = gbt.Game.new_table(n_strategies, title=\"Prisoner's Dilemma\")\n",
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"cell_type": "code",
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"cell_type": "code",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<center><h1>Prisoner's Dilemma</h1></center>\n",
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"<table><tr><td></td><td align=center><b>Cooperate</b></td><td align=center><b>Defect</b></td></tr><tr><td align=center><b>Cooperate</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>Defect</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>Cooperate</b></td><td align=center><b>Defect</b></td></tr><tr><td align=center><b>Cooperate</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>Defect</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>Cooperate</b></td><td align=center><b>Defect</b></td></tr><tr><td align=center><b>Cooperate</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>Defect</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>Cooperate</b></td><td align=center><b>Defect</b></td></tr><tr><td align=center><b>Cooperate</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>Defect</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table>\n"
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],
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"text/plain": [
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"Game(title='Prisoner's Dilemma')"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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"source": [
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"# View the payout matrix\n",
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"g"
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"cell_type": "code",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<center><h1>Another Prisoner's Dilemma</h1></center>\n",
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"<table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>2</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>2</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>2</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>-1,-1</td><td align=center>-3,0</td></tr><tr><td align=center><b>2</b></td><td align=center>0,-3</td><td align=center>-2,-2</td></tr></table>\n"
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],
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"text/plain": [
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"Game(title='Another Prisoner's Dilemma')"
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},
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"outputs": [],
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"source": [
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"player1_payoffs = np.array([[-1, -3], [0, -2]])\n",
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"player2_payoffs = np.transpose(player1_payoffs)\n",
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},
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{
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"cell_type": "code",
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"id": "5ee752c4",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"-1\n",
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"<class 'pygambit.gambit.Rational'>\n"
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]
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}
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],
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"outputs": [],
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"source": [
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"tom_payoffs, jerry_payoffs = g.to_arrays(\n",
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" # dtype=float\n",
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"cell_type": "code",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"pygambit.nash.NashComputationResult"
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]
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},
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"execution_count": 8,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"outputs": [],
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"source": [
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"result = gbt.nash.enumpure_solve(g)\n",
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"type(result)"
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},
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"cell_type": "code",
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"metadata": {},
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"1"
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"outputs": [],
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"len(result.equilibria)"
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"outputs": [
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"data": {
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"text/latex": [
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"$\\left[\\left[0,1\\right],\\left[0,1\\right]\\right]$"
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],
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"text/plain": [
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"[[Rational(0, 1), Rational(1, 1)], [Rational(0, 1), Rational(1, 1)]]"
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"output_type": "execute_result"
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}
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],
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"outputs": [],
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"source": [
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"msp = result.equilibria[0]\n",
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"msp"
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]
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"metadata": {},
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"outputs": [
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"pygambit.gambit.MixedStrategyProfileRational"
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"type(msp)"
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Tom plays the equilibrium strategy:\n",
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"Probability of cooperating: 0\n",
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"Probability of defecting: 1\n",
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"Payoff: -2\n",
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"\n",
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"Jerry plays the equilibrium strategy:\n",
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"Probability of cooperating: 0\n",
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"Probability of defecting: 1\n",
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"Payoff: -2\n",
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"\n"
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]
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}
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],
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"outputs": [],
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"source": [
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"for player in g.players:\n",
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" print(f\"{player.label} plays the equilibrium strategy:\")\n",
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"id": "e1b060fb-94cc-432d-a9cc-4ccae5908f79",
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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" .dataframe tbody tr th {\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>Game</th>\n",
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" <th>Title</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>2smp</td>\n",
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" <td>Two-stage matching pennies game</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1</th>\n",
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" <td>pd</td>\n",
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" <td>Two person Prisoner's Dilemma game</td>\n",
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],
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" Game Title\n",
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"0 2smp Two-stage matching pennies game\n",
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"1 pd Two person Prisoner's Dilemma game"
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]
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"<center><h1>Two person Prisoner's Dilemma game</h1></center>\n",
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"<table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>9,9</td><td align=center>0,10</td></tr><tr><td align=center><b>2</b></td><td align=center>10,0</td><td align=center>1,1</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>9,9</td><td align=center>0,10</td></tr><tr><td align=center><b>2</b></td><td align=center>10,0</td><td align=center>1,1</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>9,9</td><td align=center>0,10</td></tr><tr><td align=center><b>2</b></td><td align=center>10,0</td><td align=center>1,1</td></tr></table><table><tr><td></td><td align=center><b>1</b></td><td align=center><b>2</b></td></tr><tr><td align=center><b>1</b></td><td align=center>9,9</td><td align=center>0,10</td></tr><tr><td align=center><b>2</b></td><td align=center>10,0</td><td align=center>1,1</td></tr></table>\n"
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"Game(title='Two person Prisoner's Dilemma game')"
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"output_type": "execute_result"
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"outputs": [],
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"g = gbt.catalog.load(\"pd\")\n",
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