{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Foundations of Computational Economics #32\n", "\n", "by Fedor Iskhakov, ANU\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## Cake eating model with discretized choice\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "[https://youtu.be/EDcCoXkIU34](https://youtu.be/EDcCoXkIU34)\n", "\n", "Description: Using function interpolation to solve cake eating problem with discretized choice." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Cake eating problem\n", "\n", "\n", "\n", " \n", "- Cake of initial size $ W_0 $ \n", "- How much of the cake to eat each period $ t $, $ c_t $? \n", "- Time is discrete, $ t=1,2,\\dots,\\infty $ \n", "- What is not eaten in period $ t $ is left for the future $ W_{t+1}=W_t-c_t $ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Bellman equation\n", "\n", "$$\n", "V(W_{t})=\\max_{0 \\le c_{t} \\le W_t}\\big\\{\\log(c_{t})+\\beta V(\\underset{=W_{t+1}}{\\underbrace{W_{t}-c_{t}}})\\big\\}\n", "$$\n", "\n", "$$\n", "c^{\\star}(W_t)=\\arg\\max_{0 \\le c_{t} \\le W_t}\\big\\{\\log(c_{t})+\\beta V(\\underset{=W_{t+1}}{\\underbrace{W_{t}-c_{t}}})\\big\\}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Recap: components of the dynamic model\n", "\n", "- **State variables** — vector of variables that describe all relevant\n", " information about the modeled decision process, $ W_t $ \n", "- **Decision variables** — vector of variables describing the choices,\n", " $ c_t $ \n", "- **Instantaneous payoff** — utility function, $ u(c_t)=\\log(c_t) $, with\n", " time separable discounted utility \n", "- **Motion rules** — agent’s beliefs of how state variable evolve\n", " through time, conditional on choices, $ W_{t+1}=W_t-c_t $ \n", "- **Value function** — maximum attainable utility, $ V(W_t) $ \n", "- **Policy function** — mapping from state space to action space that\n", " returns the optimal choice, $ c^{\\star}(W_t) $ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Value function iterations (VFI) solution\n", "\n", "Numerically solve\n", "\n", "$$\n", "V(W) = \\max_{0 \\le c \\le W} \\big[ u(c)+\\beta V(W-c) \\big ]\n", "$$\n", "\n", "Solve the **functional fixed point equation** $ T({V})(W) = V(W) $ for $ V(W) $, where\n", "\n", "$$\n", "T(V)(W) \\equiv \\max_{0 \\le c \\le W} \\big[u(c)+\\beta V(W-c)\\big]\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### VFI algorithm\n", "\n", "- Start with an arbitrary guess $ V_0(W) $\n", " (will see next time that the initial guess is not important) \n", "- At each iteration $ i $ compute \n", "\n", "\n", "$$\n", "\\begin{eqnarray*}\n", "V_i(W) = T(V_{i-1})(W) &=&\n", "\\max_{0 \\le c \\le W} \\big\\{u(c)+\\beta V_{i-1}(W-c) \\big \\} \\\\\n", "c_{i-1}(W) &=&\n", "\\underset{0 \\le c \\le W}{\\arg\\max} \\big\\{u(c)+\\beta V_{i-1}(W-c) \\big \\}\n", "\\end{eqnarray*}\n", "$$\n", "\n", "- Repeat until convergence " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Numerical implementation of the Bellman operator\n", "\n", "- Cake is continuous $ \\rightarrow $ value function is a function\n", " of continuous variable \n", "- Solution: **discretize** $ W $\n", " Construct a *grid* (vector) of cake-sizes\n", " $ \\vec{W}\\in\\{0,\\dots\\overline{W}\\} $ \n", "\n", "\n", "$$\n", "V_{i}(\\vec{W})=\\max_{0 \\le c \\le \\vec{W}}\\{u(c)+\\beta V_{i-1}(\\vec{W}-c)\\}\n", "$$\n", "\n", "- Compute value and policy function sequentially point-by-point \n", "- May need to compute the value function *between grid points*\n", " $ \\Rightarrow $ Interpolation and function approximation " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Solution “on the grid”\n", "\n", "- allows to avoid computation of value function between the grid points \n", "- but have to rewrite the model with choices in terms of $ W_{t+1} $ \n", "- consumption is then taken as the difference $ W_{t+1}-W_t $ \n", "- very crude representation of consumption choice, thus terribly low accuracy of the solution " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import numpy as np\n", "class cake_ongrid():\n", " '''Simple class to implement cake eating problem on the grid'''\n", "\n", " def __init__(self,beta=.9, Wbar=10, ngrid=50):\n", " '''Initializer'''\n", " self.beta = beta # Discount factor\n", " self.Wbar = Wbar # Upper bound on cake size\n", " self.ngrid = ngrid # Number of grid points\n", " self.epsilon = np.finfo(float).eps # smallest positive float number\n", " self.grid = np.linspace(self.epsilon,Wbar,ngrid) # grid for both state and decision space\n", "\n", " def bellman(self,V0):\n", " '''Bellman operator, V0 is one-dim vector of values on grid'''\n", " c = self.grid - self.grid[:,np.newaxis] # current state in columns and choices in rows\n", " c[c==0] = self.epsilon # add small quantity to avoid log(0)\n", " mask = c>0 # mask off infeasible choices\n", " matV1 = np.full((self.ngrid,self.ngrid),-np.inf) # init V with -inf\n", " matV0 = np.repeat(V0.reshape(self.ngrid,1),self.ngrid,1) #current value function repeated in columns\n", " matV1[mask] = np.log(c[mask])+self.beta*matV0[mask] # maximand of the Bellman equation\n", " V1 = np.amax(matV1,axis=0,keepdims=False) # maximum in every column\n", " c1 = self.grid - self.grid[np.argmax(matV1,axis=0)] # consumption (index of maximum in every column)\n", " return V1, c1\n", "\n", " def solve(self, maxiter=1000, tol=1e-4, callback=None):\n", " '''Solves the model using VFI (successive approximations)'''\n", " V0=np.log(self.grid) # on first iteration assume consuming everything\n", " for iter in range(maxiter):\n", " V1,c1=self.bellman(V0)\n", " if callback: callback(iter,self.grid,V1,c1) # callback for making plots\n", " if np.all(abs(V1-V0) < tol):\n", " break\n", " V0=V1\n", " else: # when i went up to maxiter\n", " print('No convergence: maximum number of iterations achieved!')\n", " return V1,c1" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Comparison to analytic solution\n", "\n", "In video 30 we derived the analytic solution of the cake eating problem\n", "\n", "$$\n", "c^{\\star}(W) = \\frac {W} {1 + \\beta B} = \\frac {W} {1 + \\frac{\\beta}{1-\\beta}} = (1-\\beta)W\n", "$$\n", "\n", "$$\n", "V(W) = \\frac{\\log(W)}{1-\\beta} + \\frac{\\log(1-\\beta)}{1-\\beta} + \\frac{\\beta \\log(\\beta)}{(1-\\beta)^2}\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "def check_analytic(model):\n", " '''Check the cake eating numerical solution against the analytic solution'''\n", " # analytic solution\n", " aV = lambda w: np.log(w)/(1 - model.beta) + np.log(1 - model.beta)/(1 - model.beta) + model.beta* np.log(model.beta)/((1 - model.beta)**2)\n", " aP = lambda w: (1 - model.beta) * w\n", " grid = model.grid # grid from the model\n", " xg = np.linspace(model.epsilon,model.Wbar,1000) # dense grid for analytical solution\n", " V,policy = model.solve() # solve the model\n", " # make plots\n", " fig1, (ax1,ax2) = plt.subplots(1,2,figsize=(14,8))\n", " ax1.grid(b=True, which='both', color='0.65', linestyle='-')\n", " ax2.grid(b=True, which='both', color='0.65', linestyle='-')\n", " ax1.set_title('Value functions')\n", " ax2.set_title('Policy functions')\n", " ax1.set_xlabel('Cake size, W')\n", " ax2.set_xlabel('Cake size, W')\n", " ax1.set_ylabel('Value function')\n", " ax2.set_ylabel('Policy function')\n", " ax1.plot(grid[1:],V[1:],linewidth=1.5,label='Numerical')\n", " ax1.plot(xg,aV(xg),linewidth=1.5,label='Analytical')\n", " ax2.plot(grid,policy,linewidth=1.5,label='Numerical')\n", " ax2.plot(grid,aP(grid),linewidth=1.5,label='Analytical')\n", " ax1.legend()\n", " ax2.legend()\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m1 = cake_ongrid(beta=0.9,Wbar=10,ngrid=50)\n", "check_analytic(m1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Interpolation of the value function\n", "\n", "Rather than trying to avoid interpolation by rewriting the problem\n", "in terms of the next period choice, today we will\n", "\n", "- discretize the choice variable to avoid solving optimization problem for\n", " each value of wealth \n", "- use interpolation of already computed next period value function " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Cake eating with discretized choices\n", "\n", "*Control for grid over state space separately from the discretization of\n", "the choice variables to increase accuracy*\n", "\n", "- As before solve cake eating Bellman equation by VFI \n", "- Discretize state space with $ \\vec{W}\\in\\{0,\\dots\\overline{W}\\} $ \n", "- Discretize decision space with\n", " $ \\vec{D}\\in\\{0,\\dots\\overline{D}\\} $, usually\n", " $ \\overline{D}=\\overline{W} $ \n", "\n", "\n", "$$\n", "V_{i}(\\vec{W})=\\max_{c \\in \\vec{D}}\\{u(c)+\\beta V_{i-1}(\\vec{W}-c)\\}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- Compute value/policy function point-by-point on grid $ \\vec{W} $ \n", "- Find the maximum over the points of grid $ \\vec{D} $ that satisfy\n", " the choice set condition $ 0 \\le \\vec{D} \\le W $ \n", "- In each iteration, the value function $ V_{i}(\\vec{W}) $ is\n", " computed on a set of grid points \n", "- But for iteration $ i+1 $ we need to compute\n", " $ V_{i}(\\vec{W}-c)\\}=V_{i}(\\vec{W}-\\vec{D})\\} $ \n", "- **Interpolation of the value function** " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# CODE DEVELOPED IN THE VIDEO\n", "\n", "import numpy as np\n", "from scipy import interpolate # Interpolation routines\n", "\n", "class cake_discretized():\n", " '''Class to implement the cake eating model with discretized choice'''\n", "\n", " def __init__(self,beta=.9, Wbar=10, ngrid=50, nchgrid=100, optim_ch=True):\n", " '''Initializer'''\n", " self.beta = beta # Discount factor\n", " self.Wbar = Wbar # Upper bound on cake size\n", " self.ngrid = ngrid # Number of grid points\n", " self.nchgrid = nchgrid # Number of grid points for choice grid\n", " self.epsilon = np.finfo(float).eps # smallest positive float number\n", " self.grid = np.linspace(self.epsilon,Wbar,ngrid) # grid for state space\n", " self.chgrid = np.linspace(self.epsilon,Wbar,nchgrid) # grid for decision space\n", " self.optim_ch = optim_ch\n", "\n", " def bellman(self,V0):\n", " '''Bellman operator, V0 is one-dim vector of values on state grid'''\n", " c = self.chgrid[:,np.newaxis] # column vector\n", " if self.optim_ch:\n", " c = c + np.zeros(self.ngrid) # matrix of consumption values\n", " c *= self.grid/self.Wbar # scale choices to ensure cW] = -np.inf # infeasible choices\n", " V1 = np.amax(matV1,axis=0,keepdims=False) # maximum in every column\n", " if self.optim_ch:\n", " c1 = c[np.argmax(matV1,axis=0),np.arange(self.ngrid)]\n", " else:\n", " c1 = c[np.argmax(matV1,axis=0)] # consumption (index of maximum in every column)\n", " return V1, c1\n", "\n", " def solve(self, maxiter=1000, tol=1e-4, callback=None):\n", " '''Solves the model using VFI (successive approximations)'''\n", " V0=np.log(self.grid) # on first iteration assume consuming everything\n", " for iter in range(maxiter):\n", " V1,c1=self.bellman(V0)\n", " if callback: callback(iter,self.grid,V1,c1) # callback for making plots\n", " if np.all(abs(V1-V0) < tol):\n", " break\n", " V0=V1\n", " else: # when i went up to maxiter\n", " print('No convergence: maximum number of iterations achieved!')\n", " return V1,c1" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# CODE DEVELOPED IN THE VIDEO\n", "\n", "# m1 = cake_ongrid( beta=0.9,Wbar=10,ngrid=50)\n", "m2 = cake_discretized(beta=0.9,Wbar=10,ngrid=100,nchgrid=100,optim_ch=False)\n", "m3 = cake_discretized(beta=0.9,Wbar=10,ngrid=100,nchgrid=100,optim_ch=True)\n", "# check_analytic(m1)\n", "check_analytic(m2)\n", "check_analytic(m3)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Previously written solution\n", "\n", "class cake_discretized():\n", "\n", " def __init__(self,beta=.9, Wbar=10, ngrid=50, ngrid_choice=100):\n", " self.beta = beta # Discount factor\n", " self.Wbar = Wbar # Upper bound on cake size\n", " self.ngrid = ngrid # Number of grid points for the size of cake\n", " self.ngrid_choice = ngrid_choice # Number of grid points for how much of cake to consume\n", " self.epsilon = np.finfo(float).eps # smallest positive float number\n", " self.grid = np.linspace(self.epsilon,Wbar,ngrid) # grid for state space\n", " self.grid_choice = np.linspace(self.epsilon,Wbar,ngrid_choice) # grid for decision space\n", "\n", " def bellman(self,V0):\n", " #Bellman operator, V0 is one-dim vector of values on grid\n", " matW = np.repeat(np.reshape(self.grid,(1,-1)),self.ngrid_choice,0) # matrix with state space repeated in rows\n", " c = np.repeat(np.reshape(self.grid_choice,(-1,1)),self.ngrid,1) # decisions grid repeated by columns\n", " #c *= np.reshape(self.grid,(1,-1)) /self.Wbar # normalize max choice to current wealth\n", " matWpr = matW-c # size of cake in the next period\n", " matWpr[matWpr==0] = self.epsilon # add small quantity to avoid log(0)\n", " mask = matWpr>0 # mask off infeasible choices\n", " matV1 = np.interp(matWpr,self.grid,V0) # INPERPOLATE values of next period value at next period case sizes\n", " preV1 = np.full((self.ngrid_choice,self.ngrid),-np.inf) # init V with -inf\n", " preV1[mask] = np.log(c[mask]) + self.beta*matV1[mask] # maximand of the Bellman equation\n", " V1 = np.amax(preV1,0,keepdims=False) # maximum in every column\n", " c1 = c[np.argmax(preV1,axis=0),range(self.ngrid)] # choose the max attaining levels of c\n", " return V1, c1\n", "\n", " def solve(self, maxiter=1000, tol=1e-4, callback=None):\n", " '''Solves the model using successive approximations'''\n", " V0=np.log(self.grid) # on first iteration assume consuming everything\n", " for iter in range(maxiter):\n", " V1,c1=self.bellman(V0)\n", " if callback: callback(iter,self.grid,V1,c1) # callback for making plots\n", " if np.all(abs(V1-V0) < tol):\n", " break\n", " V0=V1\n", " else: # when i went up to maxiter\n", " print('No convergence: maximum number of iterations achieved!')\n", " return V1,c1\n", "\n", " def solve_plot(self, maxiter=1000, tol=1e-4):\n", " '''Illustrate solution'''\n", " fig1, (ax1,ax2) = plt.subplots(1,2,figsize=(14,8))\n", " ax1.grid(b=True, which='both', color='0.65', linestyle='-')\n", " ax2.grid(b=True, which='both', color='0.65', linestyle='-')\n", " ax1.set_title('Value function convergence with VFI')\n", " ax2.set_title('Policy function convergence with VFI')\n", " ax1.set_xlabel('Cake size, W')\n", " ax2.set_xlabel('Cake size, W')\n", " ax1.set_ylabel('Value function')\n", " ax2.set_ylabel('Policy function')\n", " def callback(iter,grid,v,c):\n", " ax1.plot(grid[1:],v[1:],color='k',alpha=0.25)\n", " ax2.plot(grid,c,color='k',alpha=0.25)\n", " V,c = self.solve(maxiter=maxiter,tol=tol,callback=callback)\n", " # add solutions\n", " ax1.plot(self.grid[1:],V[1:],color='r',linewidth=2.5)\n", " ax2.plot(self.grid,c,color='r',linewidth=2.5)\n", " plt.show()\n", " return V,c\n", "\n", "m2 = cake_discretized(beta=0.9,Wbar=10,ngrid=50,ngrid_choice=50)\n", "V2,c2 = m2.solve_plot() # make convergence plot" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide-output": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m1 = cake_ongrid(beta=0.9,Wbar=10,ngrid=50)\n", "m2 = cake_discretized(beta=0.9,Wbar=10,ngrid=50)\n", "check_analytic(m1)\n", "check_analytic(m2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### How to increase the accuracy?\n", "\n", "- increase the number of grid points, both in state space and especially in choice space \n", "- optimize the use of the grid points in the choice space by accounting for the constraints of the model \n", "- relocate the state grid points towards the ares of higher curvature of the value function \n", "- use a more sophisticated approximation technique " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Further learning resources\n", "\n", "- 📖 Adda and Cooper “Dynamic Economics. Quantitative Methods and Applications.” *Chapters: 2* \n", "- QuantEcon DP sectionx [https://lectures.quantecon.org/py/index_dynamic_programming.html](https://lectures.quantecon.org/py/index_dynamic_programming.html) " ] } ], "metadata": { "celltoolbar": "Slideshow", "date": 1612589586.183433, "download_nb": false, "filename": "32_cake_discretized.rst", "filename_with_path": "32_cake_discretized", "kernelspec": { "display_name": "Python", "language": "python3", "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": "3.7.6" }, "title": "Foundations of Computational Economics #32" }, "nbformat": 4, "nbformat_minor": 4 }