{ "cells": [ { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "# Job Search Model\n", "\n", "\n", "**Randall Romero Aguilar, PhD**\n", "\n", "This demo is based on the original Matlab demo accompanying the Computational Economics and Finance 2001 textbook by Mario Miranda and Paul Fackler.\n", "\n", "Original (Matlab) CompEcon file: **demdp04.m**\n", "\n", "Running this file requires the Python version of CompEcon. This can be installed with pip by running\n", "\n", " !pip install compecon --upgrade\n", "\n", "Last updated: 2022-Oct-22\n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## About\n", "\n", "Infinitely-lived worker must decide whether to quit, if employed, or search for a job, if unemployed, given prevailing market wages.\n", "\n", "### States\n", "\n", "- w prevailing wage\n", "- i unemployed (0) or employed (1) at beginning of period\n", "\n", "### Actions\n", "\n", "- j idle (0) or active (i.e., work or search) (1) this period\n", "\n", "### Parameters\n", "\n", "| Parameter | Meaning |\n", "|-----------|-------------------------|\n", "| $v$ | benefit of pure leisure |\n", "| $\\bar{w}$ | long-run mean wage |\n", "| $\\gamma$ | wage reversion rate |\n", "| $p_0$ | probability of finding job |\n", "| $p_1$ | probability of keeping job |\n", "| $\\sigma$ | standard deviation of wage shock |\n", "| $\\delta$ | discount factor |\n" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "# Preliminary tasks" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from compecon import BasisSpline, DPmodel, qnwnorm" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "## FORMULATION\n", " \n", "### Worker's reward\n", "\n", "The worker's reward is:\n", "\n", "- $w$ (the prevailing wage rate), if he's employed and active (working)\n", "- $u=90$, if he's unemployed but active (searching)\n", "- $v=95$, if he's idle (quit if employed, not searching if unemployed)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "u = 90\n", "v = 95\n", "\n", "def reward(w, x, employed, active):\n", " if active:\n", " return w.copy() if employed else np.full_like(w, u) # the copy is critical!!! otherwise it passes a pointer to w!!\n", " else:\n", " return np.full_like(w, v)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Model dynamics\n", "\n", "#### Stochastic Discrete State Transition Probabilities\n", "\n", "An unemployed worker who is searching for a job has a probability $p_0=0.2$ of finding it, while an employed worker who doesn't want to quit his job has a probability $p_1 = 0.9$ of keeping it. An idle worker (someone who quits or doesn't search for a job) will definitely be unemployed next period. Thus, the transition probabilities are\n", "\\begin{align}\n", " q = \\begin{bmatrix}1-p_0 &p_0\\\\1-p_1&p_1\\end{bmatrix},&\\qquad\\text{if active} \\\\\n", " = \\begin{bmatrix}1 & 0\\\\1 &0 \\end{bmatrix},&\\qquad\\text{if iddle}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "p0 = 0.20\n", "p1 = 0.90\n", "\n", "q = np.zeros((2, 2, 2))\n", "q[1, 0, 1] = p0\n", "q[1, 1, 1] = p1\n", "q[:, :, 0] = 1 - q[:, :, 1]" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "#### Stochastic Continuous State Transition\n", "Assuming that the wage rate $w$ follows an exogenous Markov process \n", "\\begin{equation}\n", " w_{t+1} = \\bar{w} + \\gamma(w_t − \\bar{w}) + \\epsilon_{t+1}\n", "\\end{equation}\n", "\n", "where $\\bar{w}=100$ and $\\gamma=0.4$. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "wbar = 100\n", "ɣ = 0.40\n", "def transition(w, x, i, j, in_, e):\n", " return wbar + ɣ * (w - wbar) + e" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Here, $\\epsilon$ is normal $(0,\\sigma^2)$ wage shock, where $\\sigma=5$. We discretize this distribution with the function ```qnwnorm```." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "σ = 5\n", "m = 15\n", "e, w = qnwnorm(m, 0, σ**2)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Approximation Structure\n", "\n", "To discretize the continuous state variable, we use a cubic spline basis with $n=150$ nodes between $w_\\text{min}=0$ and $w_\\text{max}=200$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "n = 150\n", "wmin = 0\n", "wmax = 200\n", "basis = BasisSpline(n, wmin, wmax, labels=['wage'])" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "## SOLUTION\n", "\n", "To represent the model, we create an instance of ```DPmodel```. Here, we assume a discout factor of $\\delta=0.95$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "model = DPmodel(basis, reward, transition,\n", " i =['unemployed', 'employed'],\n", " j = ['idle', 'active'],\n", " discount=0.95, e=e, w=w, q=q)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Then, we call the method ```solve``` to solve the Bellman equation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solving infinite-horizon model collocation equation by Newton's method\n", "iter change time \n", "------------------------------\n", " 0 2.1e+03 0.1758\n", " 1 3.5e+01 0.3564\n", " 2 1.9e+01 0.5304\n", " 3 1.4e+00 0.7117\n", " 4 2.8e-12 0.8892\n", "Elapsed Time = 0.89 Seconds\n" ] }, { "data": { "text/html": [ "
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wageivalueresidj*value[idle]value[active]
wage
unemployed0.0000000.00000001911.1011860.000000e+00idle1911.1011861906.101213
0.1334220.13342201911.101997-1.405169e-10idle1911.1019971906.102026
0.2668450.26684501911.102810-1.452918e-10idle1911.1028101906.102841
0.4002670.40026701911.103625-5.434231e-11idle1911.1036251906.103656
0.5336890.53368901911.1044409.526957e-11idle1911.1044401906.104473
\n", "
" ], "text/plain": [ " wage i value resid j* \\\n", " wage \n", "unemployed 0.000000 0.000000 0 1911.101186 0.000000e+00 idle \n", " 0.133422 0.133422 0 1911.101997 -1.405169e-10 idle \n", " 0.266845 0.266845 0 1911.102810 -1.452918e-10 idle \n", " 0.400267 0.400267 0 1911.103625 -5.434231e-11 idle \n", " 0.533689 0.533689 0 1911.104440 9.526957e-11 idle \n", "\n", " value[idle] value[active] \n", " wage \n", "unemployed 0.000000 1911.101186 1906.101213 \n", " 0.133422 1911.101997 1906.102026 \n", " 0.266845 1911.102810 1906.102841 \n", " 0.400267 1911.103625 1906.103656 \n", " 0.533689 1911.104440 1906.104473 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S = model.solve(show=True)\n", "S.head()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Compute and Print Critical Action Wages" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Critical Search Wage = 93.8\n", "Critical Quit Wage = 79.4\n" ] } ], "source": [ "def critical(db):\n", " wcrit = np.interp(0, db['value[active]'] - db['value[idle]'], db['wage'])\n", " vcrit = np.interp(wcrit, db['wage'], db['value[idle]'])\n", " return wcrit, vcrit\n", "\n", "wcrit0, vcrit0 = critical(S.loc['unemployed'])\n", "print(f'Critical Search Wage = {wcrit0:5.1f}')\n", "\n", "wcrit1, vcrit1 = critical(S.loc['employed'])\n", "print(f'Critical Quit Wage = {wcrit1:5.1f}')" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Action-Contingent Value Function" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vv = ['value[idle]','value[active]']\n", "fig1, (ax0, ax1) = plt.subplots(1,2,figsize=[16,4])\n", "\n", "# UNEMPLOYED\n", "ax0.set(title='Action-Contingent Value, Unemployed', xlabel='Wage', ylabel='Value')\n", "ax0.plot(S.loc['unemployed',vv])\n", "ax0.annotate(f'$w^*_0 = {wcrit0:.1f}$', [wcrit0, vcrit0], fontsize=12, va='top')\n", "ax0.legend(['Do Not Search', 'Search'], loc='upper left', fontsize=\"x-small\")\n", "\n", "\n", "# EMPLOYED\n", "ax1.set(title='Action-Contingent Value, Employed', xlabel='Wage', ylabel='Value')\n", "ax1.plot(S.loc['employed',vv])\n", "ax1.annotate(f'$w^*_0 = {wcrit1:.1f}$', [wcrit1, vcrit1], fontsize=12, va='top')\n", "ax1.legend(['Quit', 'Work'], loc='upper left', fontsize=\"x-small\")" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Residual" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S['resid2'] = 100 * (S['resid'] / S['value'])\n", "\n", "fig2, ax = plt.subplots()\n", "\n", "ax.set(title='Bellman Equation Residual',\n", " xlabel='Wage',\n", " ylabel='Percent Residual')\n", "ax.plot(S.loc['unemployed','resid2'])\n", "ax.plot(S.loc['employed','resid2'])\n", "ax.legend(model.labels.i)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "## SIMULATION" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Simulate Model\n", "\n", "We simulate the model 10000 times for a time horizon $T=40$, starting with an unemployed worker ($i=0$) at the long-term wage rate mean $\\bar{w}$. To be able to reproduce these results, we set the random seed at an arbitrary value of 945." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "T = 40\n", "nrep = 10000\n", "sinit = np.full((1, nrep), wbar)\n", "iinit = 0\n", "data = model.simulate(T, sinit, iinit, seed=945)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/html": [ "
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time_repiwagej*
000unemployed100.0active
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" ], "text/plain": [ " time _rep i wage j*\n", "0 0 0 unemployed 100.0 active\n", "1 0 1 unemployed 100.0 active\n", "2 0 2 unemployed 100.0 active\n", "3 0 3 unemployed 100.0 active\n", "4 0 4 unemployed 100.0 active" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Print Ergodic Moments" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Ergodic Means\n", "\tWage = 100.02\n", "\tEmployment = 0.58\n", "\n", "Ergodic Standard Deviations\n", "\tWage = 5.37\n", "\tEmployment = 0.49\n" ] } ], "source": [ "ff = '\\t{:12s} = {:5.2f}'\n", "\n", "print('\\nErgodic Means')\n", "print(ff.format('Wage', data['wage'].mean()))\n", "print(ff.format('Employment', (data['i'] == 'employed').mean()))\n", "print('\\nErgodic Standard Deviations')\n", "print(ff.format('Wage',data['wage'].std()))\n", "print(ff.format('Employment', (data['i'] == 'employed').std()))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/html": [ "
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Ergodic MeansErgodic Standard Deviations
Wage100.025.37
Employment0.580.49
\n", "
" ], "text/plain": [ " Ergodic Means Ergodic Standard Deviations\n", "Wage 100.02 5.37\n", "Employment 0.58 0.49" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ergodic = pd.DataFrame({\n", " 'Ergodic Means' : [data['wage'].mean(), (data['i'] == 'employed').mean()],\n", " 'Ergodic Standard Deviations': [data['wage'].std(), (data['i'] == 'employed').std()]},\n", " index=['Wage', 'Employment'])\n", "\n", "ergodic.round(2)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Expected Discrete State Path" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/html": [ "
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time_repiwagej*
000unemployed100.0active
101unemployed100.0active
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\n", "
" ], "text/plain": [ " time _rep i wage j*\n", "0 0 0 unemployed 100.0 active\n", "1 0 1 unemployed 100.0 active\n", "2 0 2 unemployed 100.0 active\n", "3 0 3 unemployed 100.0 active\n", "4 0 4 unemployed 100.0 active" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data['ii'] = data['i'] == 'employed'\n", "probability_of_employment = data[['ii','time']].groupby('time').mean()\n", "\n", "fig3, ax = plt.subplots()\n", "ax.set(title='Probability of Employment', xlabel='Period', ylabel='Probability')\n", "ax.plot(probability_of_employment)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "### Plot Simulated and Expected Continuous State Path" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subdata = data.query('_rep < 3').pivot(\"time\", \"_rep\" ,'wage')\n", "\n", "fig4, ax = plt.subplots()\n", "\n", "ax.set(title='Simulated and Expected Wage', xlabel='Period', ylabel='Wage')\n", "subdata.plot(ax=ax)\n", "ax.plot(data[['time','wage']].groupby('time').mean(),'k--',label='mean')\n", "ax.legend(fontsize='xx-small')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.7 ('base')", "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": "3.9.7" }, "vscode": { "interpreter": { "hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186" } } }, "nbformat": 4, "nbformat_minor": 4 }