{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# DiscreteDP Example: Modeling Career Choice" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Daisuke Oyama**\n", "\n", "*Faculty of Economics, University of Tokyo*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use DiscreteDP to solve the carrer-job model considered in\n", "[http://quant-econ.net/py/career.html](http://quant-econ.net/py/career.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "from matplotlib import cm\n", "import quantecon as qe\n", "from quantecon.markov import DiscreteDP" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# matplotlib settings\n", "plt.rcParams['axes.xmargin'] = 0\n", "plt.rcParams['axes.ymargin'] = 0\n", "plt.rcParams['patch.force_edgecolor'] = True\n", "\n", "from cycler import cycler\n", "plt.rcParams['axes.prop_cycle'] = cycler(color='bgrcmyk')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the state space:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Number of possible realizations for both theta and epsilon\n", "N = 50\n", "\n", "# Upper bound for both theta and epsilon\n", "B = 5\n", "\n", "theta = np.linspace(0, B, N) # set of theta values\n", "epsilon = np.linspace(0, B, N) # set of epsilon values\n", "\n", "# Set of indices for theta-epsilon pairs\n", "s_indices2d = qe.cartesian([np.arange(N), np.arange(N)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "States are ordered as follows:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0 0]\n", " [ 0 1]\n", " [ 0 2]\n", " ..., \n", " [49 47]\n", " [49 48]\n", " [49 49]]\n" ] } ], "source": [ "print(s_indices2d)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Number of states\n", "n = N * N" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Distrubtions of theta and epsilon:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "F_a, F_b = 1, 1\n", "F_probs = qe.distributions.BetaBinomial(N-1, F_a, F_b).pdf()\n", "F_mean = np.sum(theta * F_probs)\n", "\n", "G_a, G_b = 1, 1\n", "G_probs = qe.distributions.BetaBinomial(N-1, G_a, G_b).pdf()\n", "G_mean = np.sum(epsilon * G_probs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the reward array R and the transition probability array Q:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Number of actions; 0: stay put, 1: new job, 2: new life\n", "m = 3\n", "\n", "# Reward and transition probability arrays\n", "R = np.empty((n, m))\n", "Q = np.zeros((n, m, n))\n", "\n", "# Stay put\n", "R[:, 0] = theta[s_indices2d[:, 0]] + epsilon[s_indices2d[:, 1]]\n", "Q[np.arange(n), 0, np.arange(n)] = 1\n", "\n", "# New job\n", "R[:, 1] = theta[s_indices2d[:, 0]] + G_mean\n", "for i in range(N):\n", " Q[i*N:(i+1)*N, 1, i*N:(i+1)*N] = G_probs\n", "\n", "# New life\n", "R[:, 2] = F_mean + G_mean\n", "Q[:, 2] = F_probs.reshape(N, 1).dot(G_probs.reshape(1, N)).ravel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discount factor:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "beta = 0.95" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a DiscreteDP instance:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ddp = DiscreteDP(R, Q, beta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving the model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the Markov decision problem:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "res = ddp.solve()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of iterations:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res.num_iter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The returned value function res.v and res.sigma are 1-dimenstional arrays.\n", "To convert them to 2-dimensional arrays:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_2d = res.v.reshape(N, N)\n", "sigma_2d = res.sigma.reshape(N, N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the optimal value function:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdMAAAFeCAYAAADe0PWrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncHA8Jlww5eDg4ODgeEz+P2aEtkJr+LguAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, projection='3d')\n", "tg, eg = np.meshgrid(theta, epsilon)\n", "ax.plot_surface(tg,\n", " eg,\n", " v_2d.T,\n", " rstride=2, cstride=2,\n", " cmap=cm.jet,\n", " alpha=0.5,\n", " linewidth=0.25)\n", "ax.set_zlim(150, 200)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.set_zlabel('value', fontsize=14)\n", "ax.view_init(ax.elev, 225)\n", "ax.set_title(r'Optimal value function: $\\beta = {0}$'\n", " .format(ddp.beta), y=1.05)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the optimal policy function:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAGJCAYAAACDyOR3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERCSgEgIhJS/w/yKByFXMLpawAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 6))\n", "tg, eg = np.meshgrid(theta, epsilon)\n", "lvls=(-0.5, 0.5, 1.5, 2.5)\n", "ax.contourf(tg, eg, sigma_2d.T, levels=lvls, cmap=cm.winter, alpha=0.5)\n", "ax.contour(tg, eg, sigma_2d.T, colors='k', levels=lvls, linewidths=2)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.text(1.8, 2.5, 'new life', fontsize=14)\n", "ax.text(4.5, 2.5, 'new job', fontsize=14, rotation='vertical')\n", "ax.text(4.0, 4.5, 'stay put', fontsize=14)\n", "ax.set_title(r'Optimal policy function: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulate the controlled Markov chain:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAHkCAYAAAAjARvjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_length = 20\n", "seed = 3210 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "X = res.mc.simulate(ts_length=ts_length, num_reps=2, random_state=seed)\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(10, 8))\n", "for x, ax in zip(X, axes):\n", " theta_path, epsilon_path = theta[s_indices2d[x, 0]], epsilon[s_indices2d[x, 1]]\n", " ax.plot(epsilon_path, label='epsilon')\n", " ax.plot(theta_path, label='theta')\n", " ax.legend(loc='lower right')\n", " ax.set_ylim(0, B)\n", "axes[0].set_title(r'Sample paths: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate sample paths and compute the first passage times for the stay-put region:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "M = 25000 # Number of samples\n", "ts_length = 100\n", "seed = 42\n", "X = res.mc.simulate(ts_length=ts_length, init=0, num_reps=M, random_state=seed)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "T_stars = (res.sigma[X] != 0).sum(axis=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the state enters the regions before ts_length:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all(T_stars < ts_length)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAFPCAYAAAAyddakAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSRImBJIkCfj/jrhaY0hILYgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "hist = np.histogram(T_stars, bins=T_stars.max(), range=(0, T_stars.max()))\n", "ax.bar(np.arange(T_stars.max()), hist[0], align='center')\n", "ax.set_xlim(0, ts_length)\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Frequency')\n", "ax.set_title(r'First passage time: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8.4454799999999999" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(T_stars)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.median(T_stars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Increased discount factor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Repeat the above exercises with $\\beta = 0.99$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ddp.beta = 0.99" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "res99 = ddp.solve()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res99.num_iter" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v99_2d = res99.v.reshape(N, N)\n", "sigma99_2d = res99.sigma.reshape(N, N)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdMAAAFeCAYAAADe0PWrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, projection='3d')\n", "tg, eg = np.meshgrid(theta, epsilon)\n", "ax.plot_surface(tg,\n", " eg,\n", " v99_2d.T,\n", " rstride=2, cstride=2,\n", " cmap=cm.jet,\n", " alpha=0.5,\n", " linewidth=0.25)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.set_zlabel('value', fontsize=14)\n", "ax.view_init(ax.elev, 225)\n", "ax.set_title(r'Optimal value function: $\\beta = {0}$'\n", " .format(ddp.beta), y=1.05)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAGJCAYAAACtjcXlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAZ7QJQRl+bY5AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 6))\n", "tg, eg = np.meshgrid(theta, epsilon)\n", "lvls=(-0.5, 0.5, 1.5, 2.5)\n", "ax.contourf(tg, eg, sigma99_2d.T, levels=lvls, cmap=cm.winter, alpha=0.5)\n", "ax.contour(tg, eg, sigma99_2d.T, colors='k', levels=lvls, linewidths=2)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.text(1.8, 2.5, 'new life', fontsize=14)\n", "ax.text(4.6, 2.5, 'new job', fontsize=14, rotation='vertical')\n", "ax.text(4.5, 4.7, 'stay put', fontsize=14)\n", "ax.set_title(r'Optimal policy function: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAHkCAYAAAAjARvjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZiW4aDIzMzMr4f8qjHu+30D3BAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_length = 20\n", "seed = 3210 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "X = res99.mc.simulate(ts_length=ts_length, num_reps=2, random_state=seed)\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(10, 8))\n", "for x, ax in zip(X, axes):\n", " theta_path, epsilon_path = theta[s_indices2d[x, 0]], epsilon[s_indices2d[x, 1]]\n", " ax.plot(epsilon_path, label='epsilon')\n", " ax.plot(theta_path, label='theta')\n", " ax.legend(loc='lower right')\n", " ax.set_ylim(0, B)\n", "axes[0].set_title(r'Sample paths: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "M = 25000 # Number of samples\n", "ts_length = 120\n", "seed = 42 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "x = res99.mc.simulate(ts_length=ts_length, init=0, num_reps=M, random_state=seed)\n", "T_stars = (res99.sigma[x] != 0).sum(axis=1)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all(T_stars < ts_length)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAFPCAYAAAAyddakAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwkAgSZIwEEiSJOD/A0prB6osOPvWAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "hist = np.histogram(T_stars, bins=T_stars.max(), range=(0, T_stars.max()))\n", "ax.bar(np.arange(T_stars.max()), hist[0], align='center')\n", "ax.set_xlim(0, ts_length)\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Frequency')\n", "ax.set_title(r'First passage time: $\\beta = {0}$'.format(ddp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.93272" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(T_stars)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "14.0" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.median(T_stars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wrapping the procedure in a class" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class CareerWorkerProblemDiscreteDP():\n", " \"\"\"\n", " Class to solve the career-job choice model.\n", " \n", " Parameters\n", " ----------\n", " See CareerWorkerProblem.\n", " \n", " \"\"\"\n", " def __init__(self, B=5.0, beta=0.95, N=50, F_a=1, F_b=1, G_a=1, G_b=1):\n", " self.beta, self.N, self.B = beta, N, B\n", " self.theta = np.linspace(0, B, N) # set of theta values\n", " self.epsilon = np.linspace(0, B, N) # set of epsilon values\n", " self.F_probs = qe.distributions.BetaBinomial(N-1, F_a, F_b).pdf()\n", " self.G_probs = qe.distributions.BetaBinomial(N-1, G_a, G_b).pdf()\n", " self.F_mean = np.sum(self.theta * self.F_probs)\n", " self.G_mean = np.sum(self.epsilon * self.G_probs)\n", "\n", " self.s_indices2d = qe.cartesian((np.arange(N), np.arange(N)))\n", " self.s_values2d = qe.cartesian((self.theta, self.epsilon))\n", " n = N * N # Number of states\n", " m = 3 # Number of actions; 0: stay put, 1: new job, 2: new life\n", "\n", " # Reward and transition probability arrays\n", " R = np.empty((n, m))\n", " Q = np.zeros((n, m, n))\n", "\n", " # Stay put\n", " R[:, 0] = self.s_values2d.sum(axis=-1)\n", " Q[np.arange(n), 0, np.arange(n)] = 1\n", "\n", " # New job\n", " R[:, 1] = self.s_values2d[:, 0] + self.G_mean\n", " for i in range(N):\n", " Q[i*N:(i+1)*N, 1, i*N:(i+1)*N] = self.G_probs\n", "\n", " # New life\n", " R[:, 2] = self.F_mean + self.G_mean\n", " Q[:, 2] = self.F_probs.reshape(N, 1).dot(self.G_probs.reshape(1, N)).ravel()\n", " \n", " self.ddp = DiscreteDP(R, Q, self.beta)\n", " self._mc = None\n", " self.num_iter = None\n", " \n", " @property\n", " def mc(self):\n", " if self._mc is None:\n", " self.solve()\n", " return self._mc\n", " \n", " def solve(self, *args, **kwargs):\n", " \"\"\"\n", " Solve the model.\n", " \n", " \"\"\"\n", " res = self.ddp.solve(*args, **kwargs)\n", " v = res.v.reshape(self.N, self.N)\n", " sigma = res.sigma.reshape(self.N, self.N)\n", " self._mc = res.mc\n", " self.num_iter = res.num_iter\n", " \n", " return v, sigma\n", " \n", " def simulate(self, ts_length, init=None, num_reps=None, random_state=None,\n", " ret='state_value'):\n", " \"\"\"\n", " Simulate the controlled Markov chain.\n", " \n", " \"\"\"\n", " if init is not None:\n", " init = init[0]*self.N + init[1]\n", " X = self.mc.simulate(ts_length, init, num_reps, random_state)\n", " if ret == 'state_index':\n", " paths_index = self.s_indices2d[X]\n", " return paths_index\n", " elif ret == 'state_value':\n", " paths_value = self.s_values2d[X]\n", " return paths_value\n", " else:\n", " raise ValueError()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Different set of parameter values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let G_a = G_b = 100:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "G_a, G_b = 100, 100\n", "wp = CareerWorkerProblemDiscreteDP(G_a=G_a, G_b=G_b)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v, sigma = wp.solve()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdMAAAFeCAYAAADe0PWrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKklSJctUkqRKlqkkSZV+Aehr5g/K3mYRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, projection='3d')\n", "tg, eg = np.meshgrid(wp.theta, wp.epsilon)\n", "ax.plot_surface(tg,\n", " eg,\n", " v.T,\n", " rstride=2, cstride=2,\n", " cmap=cm.jet,\n", " alpha=0.5,\n", " linewidth=0.25)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.set_zlabel('value', fontsize=14)\n", "ax.view_init(ax.elev, 225)\n", "ax.set_title(r'Optimal value function: '\n", " r'$G_a = {G_a}$, $G_b = {G_b}$, $\\beta = {beta}$'\n", " .format(G_a=G_a, G_b=G_b, beta=wp.beta), y=1.05)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAGJCAYAAACDyOR3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niE+pAEREfEoFICLiU/8P6bdx+aTy77sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 6))\n", "tg, eg = np.meshgrid(wp.theta, wp.epsilon)\n", "lvls=(-0.5, 0.5, 1.5, 2.5)\n", "ax.contourf(tg, eg, sigma.T, levels=lvls, cmap=cm.winter, alpha=0.5)\n", "ax.contour(tg, eg, sigma.T, colors='k', levels=lvls, linewidths=2)\n", "ax.set_xlabel('theta', fontsize=14)\n", "ax.set_ylabel('epsilon', fontsize=14)\n", "ax.text(1.8, 2.5, 'new life', fontsize=14)\n", "ax.text(4.5, 2.5, 'new job', fontsize=14, rotation='vertical')\n", "ax.text(4.0, 4.5, 'stay put', fontsize=14)\n", "ax.set_title(r'Optimal policy function: '\n", " r'$G_a = {G_a}$, $G_b = {G_b}$, $\\beta = {beta}$'\n", " .format(G_a=G_a, G_b=G_b, beta=wp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAHkCAYAAAAjARvjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_length = 20\n", "seed = 3210 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "paths = wp.simulate(ts_length=ts_length, num_reps=2, random_state=seed)\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(10, 8))\n", "for path, ax in zip(paths, axes):\n", " theta_path, epsilon_path = path[:, 0], path[:, 1]\n", " ax.plot(epsilon_path, label='epsilon')\n", " ax.plot(theta_path, label='theta')\n", " ax.legend(loc='lower right')\n", " ax.set_ylim(0, wp.B)\n", "axes[0].set_title(r'Sample paths: '\n", " r'$G_a = {G_a}$, $G_b = {G_b}$, $\\beta = {beta}$'\n", " .format(G_a=G_a, G_b=G_b, beta=wp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "M = 25000 # Number of samples\n", "ts_length = 100\n", "seed = 42 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "X = wp.simulate(ts_length=ts_length, init=(0, 0), num_reps=M, random_state=seed,\n", " ret='state_index')\n", "T_stars = (sigma[X[..., 0], X[..., 1]] != 0).sum(axis=1)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all(T_stars < ts_length)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAFPCAYAAAAyddakAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n44YAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "hist = np.histogram(T_stars, bins=T_stars.max(), range=(0, T_stars.max()))\n", "ax.bar(np.arange(T_stars.max()), hist[0], align='center')\n", "ax.set_xlim(0, ts_length)\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Frequency')\n", "ax.set_title(r'First passage time: '\n", " r'$G_a = {G_a}$, $G_b = {G_b}$, $\\beta = {beta}$'\n", " .format(G_a=G_a, G_b=G_b, beta=wp.beta))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.31344" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(T_stars)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9.0" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.median(T_stars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison with CareerWorkerProblem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us compare the above CareerWorkerProblemDiscreteDP with the original CareerWorkerProblem:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to download the script file career.py from the career directory\n", "in the [QuantEcon.lectures.code](https://github.com/QuantEcon/QuantEcon.lectures.code) repo." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A file named career.py already exists in the specified directory ... skipping download.\n" ] } ], "source": [ "# Download the module file and then import it\n", "module = \"career\"\n", "folder = \"career\"\n", "object_name = \"CareerWorkerProblem\"\n", "file = module + \".py\"\n", "repo = \"https://github.com/QuantEcon/QuantEcon.lectures.code\"\n", "qe.util.fetch_nb_dependencies(files=[file], repo=repo, folder=folder)\n", "\n", "exec(\"from {0} import {1}\".format(module, object_name))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to use CareerWorkerProblem." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true }, "outputs": [], "source": [ "wp_orig = CareerWorkerProblem()\n", "wp_ddp = CareerWorkerProblemDiscreteDP()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the model by value iteration with max_iter = 50,\n", "which is the default value in qe.compute_fixed_point:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration Distance Elapsed (seconds)\n", "---------------------------------------------\n", "25 1.460e+00 4.252e-01 \n", "50 4.050e-01 8.444e-01 \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Applications/anaconda/lib/python3.6/site-packages/quantecon/compute_fp.py:155: RuntimeWarning: max_iter attained before convergence in compute_fixed_point\n", " warnings.warn(_non_convergence_msg, RuntimeWarning)\n" ] } ], "source": [ "v_init = np.ones((wp_orig.N, wp_orig.N))*100\n", "v_orig = qe.compute_fixed_point(wp_orig.bellman_operator, v_init, print_skip=25)\n", "sigma_orig = wp_orig.get_greedy(v_orig)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_init_1d = np.ones(wp_orig.N*wp_orig.N)*100\n", "error_tol = 1e-3\n", "epsilon = error_tol * (2*wp_orig.beta) / (1-wp_orig.beta)\n", "v_ddp, sigma_ddp = \\\n", " wp_ddp.solve(method='vi', v_init=v_init_1d, epsilon=epsilon, max_iter=50)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.5369931689929217e-13" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.abs(v_orig - v_ddp).max()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array_equal(sigma_orig-1, sigma_ddp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "max_iter = 50 is binding:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wp_ddp.num_iter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve by policy iteration:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_ddp_pi, sigma_ddp_pi = \\\n", " wp_ddp.solve(method='pi', v_init=v_init_1d)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7.6944975276712739" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.abs(v_orig - v_ddp_pi).max()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array_equal(sigma_orig-1, sigma_ddp_pi)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(sigma_orig-1 != sigma_ddp_pi).sum()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 38, 38, 38, 38, 38, 38, 38,\n", " 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38,\n", " 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38]),\n", " array([49, 48, 47, 46, 45, 44, 43, 42, 41, 0, 1, 2, 3, 4, 5, 6, 7,\n", " 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,\n", " 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]))" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.where(sigma_orig-1 != sigma_ddp_pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increse max_iter:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_ddp2, sigma_ddp2 = \\\n", " wp_ddp.solve(method='vi', v_init=v_init_1d, epsilon=epsilon, max_iter=200)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "168" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wp_ddp.num_iter" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration Distance Elapsed (seconds)\n", "---------------------------------------------\n", "25 1.460e+00 4.221e-01 \n", "50 4.050e-01 8.440e-01 \n", "75 1.123e-01 1.270e+00 \n", "100 3.116e-02 1.695e+00 \n", "125 8.644e-03 2.118e+00 \n", "150 2.398e-03 2.541e+00 \n", "168 9.524e-04 2.845e+00 \n", "Converged in 168 steps\n" ] } ], "source": [ "v_init = np.ones((wp_orig.N, wp_orig.N))*100\n", "v_orig2 = qe.compute_fixed_point(wp_orig.bellman_operator, v_init, print_skip=25,\n", " max_iter=200)\n", "sigma_orig2 = wp_orig.get_greedy(v_orig2)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array_equal(sigma_orig2-1, sigma_ddp_pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the case of $\\beta = 0.99$." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "beta = 0.99\n", "wp_orig99 = CareerWorkerProblem(beta=beta)\n", "wp_ddp99 = CareerWorkerProblemDiscreteDP(beta=beta)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration Distance Elapsed (seconds)\n", "---------------------------------------------\n", "100 3.328e+00 1.676e+00 \n", "200 1.218e+00 3.409e+00 \n", "300 4.458e-01 5.136e+00 \n", "400 1.632e-01 6.816e+00 \n", "500 5.973e-02 8.488e+00 \n", "600 2.186e-02 1.016e+01 \n", "700 8.003e-03 1.184e+01 \n", "800 2.929e-03 1.352e+01 \n", "900 1.072e-03 1.519e+01 \n", "907 9.994e-04 1.531e+01 \n", "Converged in 907 steps\n" ] } ], "source": [ "v_init = np.ones((wp_orig99.N, wp_orig99.N))*100\n", "v_orig99 = qe.compute_fixed_point(wp_orig99.bellman_operator, v_init, max_iter=2000, print_skip=100)\n", "sigma_orig99 = wp_orig99.get_greedy(v_orig99)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_init_1d = np.ones(wp_orig.N*wp_orig.N)*100\n", "error_tol = 1e-3\n", "epsilon = error_tol * (2*wp_orig.beta) / (1-wp_orig.beta)\n", "v_ddp99, sigma_ddp99 = \\\n", " wp_ddp99.solve(method='vi', v_init=v_init_1d, epsilon=epsilon, max_iter=2000)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array_equal(sigma_orig99-1, sigma_ddp99)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_ddp99_pi, sigma_ddp99_pi = \\\n", " wp_ddp99.solve(method='pi', v_init=v_init_1d)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array_equal(sigma_orig99-1, sigma_ddp99_pi)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(sigma_orig99-1 != sigma_ddp99_pi).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the median first passage time as in the lecture:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "14.0\n" ] } ], "source": [ "F = qe.DiscreteRV(wp_orig99.F_probs)\n", "G = qe.DiscreteRV(wp_orig99.G_probs)\n", "\n", "def gen_first_passage_time(sigma):\n", " t = 0\n", " i = j = 0\n", " while 1:\n", " if sigma[i, j] == 1: # Stay put\n", " return t\n", " elif sigma[i, j] == 2: # New job\n", " j = int(G.draw())\n", " else: # New life\n", " i, j = int(F.draw()), int(G.draw())\n", " t += 1\n", "\n", "M = 25000 # Number of samples\n", "samples = np.empty(M)\n", "for i in range(M): \n", " samples[i] = gen_first_passage_time(sigma=sigma_orig99)\n", "print(np.median(samples))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And by the simulate method of our CareerWorkerProblemDiscreteDP class:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "14.0" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M = 25000 # Number of samples\n", "ts_length = 120\n", "seed = 42 # for replication\n", "# seed = None # to randomly initialize the random number generator\n", "X = wp_ddp99.simulate(ts_length=ts_length, init=(0, 0), num_reps=M, random_state=seed,\n", " ret='state_index')\n", "T_stars = (sigma_ddp99[X[..., 0], X[..., 1]] != 0).sum(axis=1)\n", "np.median(T_stars)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }