{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Playing BlackJack with First Visit MC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " First, let us import all the necessary libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import gym\n", "import numpy as np\n", "from matplotlib import pyplot\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from collections import defaultdict\n", "from functools import partial\n", "%matplotlib inline\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Simulate the Blackjack environment" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[2018-05-23 13:46:39,765] Making new env: Blackjack-v0\n" ] } ], "source": [ "env = gym.make('Blackjack-v0')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we define the policy function which takes the current state and check if the score is\n", "greater than or equal to 20, if yes we return 0 else we return 1. i.e If the score is greater\n", "than or equal to 20 we stand (0) else we hit (1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def sample_policy(observation):\n", " score, dealer_score, usable_ace = observation\n", " return 0 if score >= 20 else 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a function called generate_episode for generating epsiodes" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def generate_episode(policy, env):\n", " \n", " # we initialize the list for storing states, actions, and rewards\n", " states, actions, rewards = [], [], []\n", " \n", " # Initialize the gym environment\n", " observation = env.reset()\n", " \n", " while True:\n", " \n", " # append the states to the states list\n", " states.append(observation)\n", " \n", " # now, we select an action using our sample_policy function and append the action to actions list\n", " \n", " action = sample_policy(observation)\n", " actions.append(action)\n", " \n", " # We perform the action in the environment according to our sample_policy, move to the next state \n", " # and receive reward\n", " observation, reward, done, info = env.step(action)\n", " rewards.append(reward)\n", " \n", " # Break if the state is a terminal state\n", " if done:\n", " break\n", " \n", " return states, actions, rewards" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Now that we learned how to generate an episode, we will see how to perform First Vist MC Prediction" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def first_visit_mc_prediction(policy, env, n_episodes):\n", " \n", " # First, we initialize the empty value table as a dictionary for storing the values of each state\n", " value_table = defaultdict(float)\n", " N = defaultdict(int)\n", "\n", " \n", " for _ in range(n_episodes):\n", " \n", " # Next, we generate the epsiode and store the states and rewards\n", " states, _, rewards = generate_episode(policy, env)\n", " returns = 0\n", " \n", " # Then for each step, we store the rewards to a variable R and states to S, and we calculate\n", " # returns as a sum of rewards\n", " \n", " for t in range(len(states) - 1, -1, -1):\n", " R = rewards[t]\n", " S = states[t]\n", " \n", " returns += R\n", " \n", " # Now to perform first visit MC, we check if the episode is visited for the first time, if yes,\n", " # we simply take the average of returns and assign the value of the state as an average of returns\n", " \n", " if S not in states[:t]:\n", " N[S] += 1\n", " value_table[S] += (returns - value_table[S]) / N[S]\n", " \n", " return value_table" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "value = first_visit_mc_prediction(sample_policy, env, n_episodes=500000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us see first few elements in the value table" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "((7, 1, False), -0.6222222222222212)\n", "((4, 7, False), -0.4941634241245135)\n", "((18, 6, False), -0.6950909090909095)\n", "((6, 7, False), -0.5026595744680847)\n", "((17, 8, True), -0.38016528925619797)\n", "((20, 6, False), 0.6994790971016418)\n", "((8, 9, False), -0.5072024260803637)\n", "((4, 4, False), -0.5106382978723403)\n", "((13, 1, False), -0.670459424645771)\n", "((12, 10, True), -0.28959276018099556)\n" ] } ], "source": [ "for i in range(10):\n", " print(value.popitem())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We define the function plot_blackjack for plotting the value function and we can see how our value function is attaining the convergence. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_blackjack(V, ax1, ax2):\n", " player_sum = np.arange(12, 21 + 1)\n", " dealer_show = np.arange(1, 10 + 1)\n", " usable_ace = np.array([False, True])\n", " state_values = np.zeros((len(player_sum), len(dealer_show), len(usable_ace)))\n", "\n", " for i, player in enumerate(player_sum):\n", " for j, dealer in enumerate(dealer_show):\n", " for k, ace in enumerate(usable_ace):\n", " state_values[i, j, k] = V[player, dealer, ace]\n", " \n", " X, Y = np.meshgrid(player_sum, dealer_show)\n", " \n", " ax1.plot_wireframe(X, Y, state_values[:, :, 0])\n", " ax2.plot_wireframe(X, Y, state_values[:, :, 1])\n", " \n", " for ax in ax1, ax2:\n", " ax.set_zlim(-1, 1)\n", " ax.set_ylabel('player sum')\n", " ax.set_xlabel('dealer showing')\n", " ax.set_zlabel('state-value')\n", " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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SFRUVtLe309jYyP79++nfv78u9xk2bBiffvopEydODHu+BGGFgPfULzU1lfb2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oObnqZjvZiL79BfTdr0PAjza5Acfaa8ldfRW2/IKoh2BUlSAUIvybH6Pveg3t2k9iuf7TcUAh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\nOboj/j8dIEpsvq8a4gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = pyplot.subplots(nrows=2, figsize=(5, 8),\n", "subplot_kw={'projection': '3d'})\n", "axes[0].set_title('value function without usable ace')\n", "axes[1].set_title('value function with usable ace')\n", "plot_blackjack(value, axes[0], axes[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:universe]", "language": "python", "name": "conda-env-universe-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 2 }