{
"cells": [
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"source": [
"# Foundations of Computational Economics #44\n",
"\n",
"by Fedor Iskhakov, ANU\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"## Newton-Kantorovich method\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
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"source": [
"\n",
"\n",
"[https://youtu.be/mRLxOWxqJbU](https://youtu.be/mRLxOWxqJbU)\n",
"\n",
"Description: Solving Bellman equation using Newton-Kantorovich iterations. Convergence rates. Polyalgorithm."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
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"source": [
"We have seen that different solution methods can differ drastically in their numerical performance:\n",
"\n",
"- VFI is simple to implement, global convergence, but the rate depends on the modulus of contraction \n",
"- Time iterations though theoretically equivalent, converge faster \n",
"- Policy iterations can converge much much faster \n",
"\n",
"\n",
"Newton-Kantorovich iterations is one more solution method: it adopts Newton-Raphson algorithm\n",
"to find the fixed point on Bellman operator, and is therefore very fast as well"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Leonid Vitalievich Kantorovich, 1912-1986\n",
"\n",
"\n",
"\n",
"- Russian mathematician and economist, Leningrad/St.Petersburg, Novosibirsk \n",
"- Linear programming (see video 18) together with George Danzig \n",
"- Functional analysis: theoretical and numerical results \n",
"- 1975 Nobel prize for contributions to the theory of optimum allocation of resources, shared with Tjalling Koopmans \n",
"\n",
"\n",
"[https://en.wikipedia.org/wiki/Leonid_Kantorovich](https://en.wikipedia.org/wiki/Leonid_Kantorovich)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Kantorovich contribution\n",
"\n",
"📖 L. V. Kantorovich 1948 “Functional analysis and applied mathematics”, Uspekhi Mat. Nauk\n",
"\n",
"- application of functional analysis in numerical applications (in multiple works from 1937) \n",
"- built general approximation theory for solving functional equations \n",
"- generalized gradient descend and Newton methods for functional equations \n",
"- results on existence of solution to the approximated equation, convergence of approximated solutions to the true one, rates and error bounds of this approach "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Kantorovich theorem\n",
"\n",
"- operator $ F: X \\rightarrow X $ maps Banach space $ X $ to itself \n",
"- to solve functional equation \n",
"\n",
"\n",
"$$\n",
"F(x) = 0\n",
"$$\n",
"\n",
"- form the sequence of approximate solutions $ x_0, x_1, \\dots $ such that \n",
"\n",
"\n",
"$$\n",
"x_{k+1} = x_k - F'(x_k)^{-1} F(x_k)\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Kantorovich theorem\n",
"\n",
"Let $ F $ be twice continuously differentiable on a ball $ B = \\{x: ||x-x_0|| \\le r\\} $, linear operator $ F'(x_0) $ is invertible,\n",
"$ ||F'(x_0)^{-1}F(x_0)|| \\le \\eta $, $ ||F'(x_0)^{-1}F''(x)|| \\le K, \\, x\\in B $, and\n",
"\n",
"$$\n",
"h = K \\eta < \\tfrac{1}{2}, \\;\\; r \\ge \\frac{1-\\sqrt{1-2h}}{h} \\eta.\n",
"$$\n",
"\n",
"Then the equation $ F(x)=0 $ has a solution $ x^\\star \\in B : F(x^\\star)=0 $, and the sequence given by the Newton step converges to\n",
"$ x^\\star $ with the quadratic rate\n",
"\n",
"$$\n",
"||x_k - x^\\star|| \\le \\frac{\\eta}{h 2^k}(2h)^{2^k}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### NK iterations in dynamic modeling\n",
"\n",
"- solution of a dynamic model *in infinite horizon* is given by the fixed point of the Bellman operator \n",
"\n",
"\n",
"$$\n",
"T(V)(x) = \\max_{a} \\big[ U(x,a) + \\beta \\mathbb{E}\\big\\{ V(x') \\big| x,a \\big\\} \\big]\n",
"$$\n",
"\n",
"- we can apply Newton-Kantorovich method to solve the equation \n",
"\n",
"\n",
"$$\n",
"T(V)(x) - V(x) = 0\n",
"$$\n",
"\n",
"- **quadratic convergence** as compared to the linear convergence of successive approximating VFI solver \n",
"- requires to code the *(Fréchet) derivative of Bellman operator* (derivative defined on Banach spaces) "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### Rust model of bus engine replacement\n",
"\n",
"Application: Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher (đź“– John Rust 1987, Econometrica)\n",
"\n",
"- Recall: video 28 for the setup, video 29 for implementation \n",
"- Choice to *keep* or *replace* the engine on the bus, conditional on the observed mileage and unobserved (by econometrician) other information \n",
"- Infinite horizon, discrete time \n",
"- Mileage process is discretized, band diagonal transition probability matrix estimated from the data directly "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Transition matrix for mileage\n",
"\n",
"- If not replacing ($ d=0) $ \n",
"\n",
"\n",
"$$\n",
"\\Pi_{n \\times n} =\n",
"\\begin{pmatrix}\n",
"\\theta_{20} & \\theta_{21} & \\theta_{22} & 0 & \\cdot & \\cdot & \\cdot & 0 \\\\\n",
"0 & \\theta_{20} & \\theta_{21} & \\theta_{22} & 0 & \\cdot & \\cdot & 0 \\\\\n",
"0 & 0 &\\theta_{20} & \\theta_{21} & \\theta_{22} & 0 & \\cdot & 0 \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot \\\\\n",
"0 & \\cdot & \\cdot & 0 & \\theta_{20} & \\theta_{21} & \\theta_{22} & 0 \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & 0 & \\theta_{20} & \\theta_{21} & \\theta_{22} \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & \\cdot & 0 & \\theta_{20} & 1-\\theta_{20} \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & 0 & 1\n",
"\\end{pmatrix}\n",
"$$\n",
"\n",
"- If replacing ($ d=1 $), transition probabilities are given by the first row "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Zurcher’s preferences\n",
"\n",
"Instantaneous payoffs are given by the cost function that depends on the choice\n",
"\n",
"$$\n",
"u(x_{t},d_t,\\theta_1)=\\left \\{\n",
"\\begin{array}{ll}\n",
" -RC-c(0,\\theta_1) & \\text{if }d_{t}=\\text{replace}=1 \\\\\n",
" -c(x_{t},\\theta_1) & \\text{if }d_{t}=\\text{keep}=0\n",
"\\end{array} \\right.\n",
"$$\n",
"\n",
"- $ RC $ = replacement cost \n",
"- $ c(x,\\theta_1) $ = cost of maintenance with preference parameters $ \\theta_1 $ "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Three independence assumptions for the error term\n",
"\n",
"1. Error terms are **independent across observations** due to random sampling \n",
"1. Error terms come in pairs, one for each decision $ d=0 $ and $ d=1 $, and are **independent across choices** \n",
"1. Conditional on mileage $ x $, there is no serial correlation in error terms **across time** "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Bellman equation\n",
"\n",
"$$\n",
"V(x,\\varepsilon) = \\max_{d\\in \\{0,1\\}} \\big\\{ u(x,\\varepsilon_d,d) + \\beta \\mathbb{E}\\big[ V(x',\\varepsilon')\\big|x,\\varepsilon,d\\big] \\big\\}\n",
"$$\n",
"\n",
"$$\n",
"V(x,\\varepsilon) = \\max_{d\\in \\{0,1\\}} \\big\\{ u(x,\\varepsilon_d,d) + \\beta\n",
"\\int_{X} \\int_{\\Omega} V(x',\\varepsilon') p(x',\\varepsilon'|x,\\varepsilon,d) dx'd\\varepsilon' \\big\\}\n",
"$$\n",
"\n",
"where $ \\varepsilon_d $ is the component of vector $ \\varepsilon \\in \\mathbb{R}^2 $ which corresponds to $ d $"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Rust assumptions\n",
"\n",
"**(AS)** Additive separability in preferences\n",
"\n",
"$$\n",
"u(x,\\varepsilon_d,d) = u(x,d) + \\varepsilon_d,\n",
"$$\n",
"\n",
"**(CI)** Conditional independence\n",
"\n",
"$$\n",
"p(x',\\varepsilon'|x,\\varepsilon,d) = q(\\varepsilon'|x')\\cdot \\pi(x'|x,d)\n",
"$$\n",
"\n",
"**(EV)** Extreme value Type I (EV1) distribution of $ \\varepsilon $"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### What Rust assumptions allow:\n",
"\n",
"$$\n",
"V(x,\\varepsilon) = \\max_{d\\in \\{0,1\\}} \\big\\{ u(x,d) + \\varepsilon_d + \\beta\n",
"\\int_{X} \\int_{\\Omega} V(x',\\varepsilon') \\pi(x'|x,d) q(\\varepsilon'|x') dx' d\\varepsilon' \\big\\}\n",
"$$\n",
"\n",
"1. Separate out the deterministic part of **choice specific value function** $ v(x,d) $ (SA) \n",
"1. Compute the expectation by part (CI) \n",
"1. Use max-stability of EV1 to compute expectation w.r.t. $ \\varepsilon' $ (EV) "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
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"source": [
"$$\n",
"V(x,\\varepsilon) = \\max_{d\\in \\{0,1\\}} \\big\\{ \\underbrace{u(x,d) + \\beta\n",
"\\int_{X} \\Big( \\int_{\\Omega} V(x',\\varepsilon') q(\\varepsilon'|x') d\\varepsilon'\\Big)\n",
"\\pi(x'|x,d) dx'}_{v(x,d)}\n",
"+ \\varepsilon_d \\big\\}\n",
"$$\n",
"\n",
"$$\n",
"V(x',\\varepsilon') = \\max_{d\\in \\{0,1\\}} \\big\\{ v(x',d) + \\varepsilon'_d \\big\\}\n",
"$$\n",
"\n",
"$$\n",
"\\mathbb{E}\\big[ V(x',\\varepsilon')\\big|x,d\\big] =\n",
"\\int_{X} \\log \\big( \\exp[v(x',0)] + \\exp[v(x',1)] \\big) \\pi(x'|x,d) dx'\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Expected value function\n",
"\n",
"Let $ \\mathbb{E}\\big[ V(x',\\varepsilon')\\big|x,d\\big] = EV(x,d) $, then\n",
"\n",
"$$\n",
"\\begin{eqnarray}\n",
"EV(x,d) &=& \\int_{X} \\log \\big( \\exp[v(x',0)] + \\exp[v(x',1)] \\big) \\pi(x'|x,d) dx' \\\\\n",
"v(x,d) &=& u(x,d) + \\beta EV(x,d)\n",
"\\end{eqnarray}\n",
"$$\n",
"\n",
"- this is Bellman equation *in expected value function space* \n",
"- when the state space is discrete the integral is, of course, a simple sum over future values "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Bellman equation and Bellman operator in expected value function space\n",
"\n",
"$$\n",
"EV(x,d) = \\sum_{X} \\log \\big( \\exp[u(x',0) + \\beta EV(x',0)] + \\exp[u(x',1) + \\beta EV(x',1)] \\big) \\pi(x'|x,d)\n",
"$$\n",
"\n",
"$$\n",
"T^*(EV)(x,d) \\equiv \\sum_{X} \\log \\big( \\exp[u(x',0) + \\beta EV(x',0)] + \\exp[u(x',1) + \\beta EV(x',1)] \\big) \\pi(x'|x,d)\n",
"$$\n",
"\n",
"Solution to the Bellman functional equation $ EV(x,d) $ is also a fixed point of $ T^* $ operator, $ T^*(EV)(x,d)=EV(x,d) $"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Choice probabilities\n",
"\n",
"Once the fixed point is found, the policy function is given by the *optimal* choice probability $ P(d|x) $ which has the *logit* structure due to assumption EV:\n",
"\n",
"$$\n",
"P(0|x) = \\frac{\\exp[ u(x,0) + \\beta EV(x,0) ]}{\\sum_{d\\in \\{0,1\\}} \\exp[u(x,d) + \\beta EV(x,d)]}\n",
"$$\n",
"\n",
"$$\n",
"P(0|x) = \\frac{1}{1 + \\exp[u(x,1) - u(x,0) + \\beta EV(x,1) - \\beta EV(x,0)]}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Possible solution methods for Rust’s model\n",
"\n",
"- infinite horizon \n",
"- discretized mileage which is the only state (in EV formulation) = finite state space \n",
"- discrete choice \n",
"- idiosyncratic random components \n",
"\n",
"\n",
"(see video 37 on DP theory)\n",
"\n",
"1. value function iterations (VFI) \n",
"1. policy iterations (see video 43) \n",
"1. Newton-Kantorovich method (NK iterations) "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### NK iterations method\n",
"\n",
"$$\n",
"EV(x,d) = T^*(EV)(x,d) = \\Gamma(EV)(x,d) \\quad\\Leftrightarrow\\quad (I - \\Gamma)(EV)(x,d)=\\mathbb{0}\n",
"$$\n",
"\n",
"The **NK iteration** is\n",
"\n",
"$$\n",
"EV_{k+1} = EV_{k} - (I-\\Gamma')^{-1} (I-\\Gamma)(EV_k)\n",
"$$\n",
"\n",
"- The new operator is the difference between the identity operator \\$I\\$ and Bellman operator $ \\Gamma = T^* $ \n",
"- $ \\mathbb{0} $ is zero function \n",
"- $ I-\\Gamma' $ is a Fréchet derivative of the operator $ I-\\Gamma $ "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Finite approximations\n",
"\n",
"- let $ n $ denote the number of state points (in mileage) \n",
"- $ EV(x,d) $ is given by a vector of length $ n $, assuming that the first element is reused to describe the expected value of replacing \n",
"- $ T^*(EV)(x,d) = \\Gamma(EV)(x,d) $ is a non-linear $ n $-valued multivariate function of $ EV $ \n",
"- Fréchet derivative $ I-\\Gamma' $ is an $ n \\times n $ matrix of first order derivatives of each output of $ T^*(EV)(x,d) $ w.r.t. each input \n",
"\n",
"\n",
"*NK iterations on finite approximations are similar to solving a system of* $ n $ *equations with* $ n $ *unknowns with Newton method!*"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matrix expression for the finite approximation of the Bellman operator\n",
"\n",
"$$\n",
"EV(x,d) = \\sum_{X} \\log \\big( \\exp[u(x',0) + \\beta EV(x',0)] + \\exp[u(x',1) + \\beta EV(x',1)] \\big) \\pi(x'|x,d)\n",
"$$\n",
"\n",
"$$\n",
"EV = \\Pi \\cdot L \\big( U(\\text{keep}) + \\beta EV, U(\\text{replace}) + \\beta EV[0] \\big)\n",
"$$\n",
"\n",
"- $ EV $ is a $ n \\times 1 $ column vector \n",
"- $ \\Pi $ is the $ n \\times n $ matrix of mileage transition probabilities \n",
"- $ U(\\cdot) $ is a column-vector of costs for all points in the state space, conditional on decision \n",
"- $ L(\\cdot,\\cdot) $ is the logsum function returning an $ n \\times 1 $ vector \n",
"- notation $ \\bullet[i] $ denotes the $ i $-th element a vector "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Implementation of Fréchet derivative\n",
"\n",
"Finite approximation of the Bellman operator is\n",
"\n",
"$$\n",
"\\Gamma(EV) = \\Pi \\cdot L \\big( U(\\text{keep}) + \\beta EV, U(\\text{replace}) + \\beta EV[0] \\big)\n",
"$$\n",
"\n",
"Fréchet derivative w.r.t. $ EV $ is then given by $ n \\times n $ matrix\n",
"\n",
"$$\n",
"\\frac{\\partial \\Gamma}{\\partial EV} = \\Pi \\cdot \\frac{\\partial L\\big( U(\\text{keep}) + \\beta EV, U(\\text{replace}) + \\beta EV[0] \\big)}{\\partial EV}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Differentiating the logsum function w.r.t. a scalar\n",
"\n",
"- the logsum function $ L(w_1,w_2) = \\log\\big[ \\exp(w_1) + \\exp(w_2) \\big] $ \n",
"- ($ L(w_1,w_2) $ is the expectation of maximum of $ w_i + \\varepsilon_i $, where\n",
" $ \\varepsilon_1, \\varepsilon_2 $ are distributed independently with type 1 extreme value distribution) \n",
"- let $ p_i = {\\exp(w_i) \\over \\exp(w_1) + \\exp(w_2)} $ denote the corresponding *choice probabilities* \n",
"\n",
"\n",
"$$\n",
"\\frac{\\partial L(w_1,w_2)}{\\partial x} = p_1 \\frac{\\partial w_1}{\\partial x} + p_2 \\frac{\\partial w_2}{\\partial x}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Differentiating the logsum function w.r.t. $ EV[i],\\;i>0 $\n",
"\n",
"$$\n",
"\\frac{\\partial L}{\\partial EV} = \\beta\n",
"\\begin{pmatrix}\n",
"\\bullet & 0 & 0 & 0 & \\cdot & 0 \\\\\n",
"\\bullet & P[1] & 0 & 0 & \\cdot & 0 \\\\\n",
"\\bullet & 0 & P[2] & 0 & \\cdot & 0 \\\\\n",
"\\bullet & 0 & 0 & P[3] & \\cdot & 0 \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot \\\\\n",
"\\bullet & 0 & 0 & 0 & \\cdot & P[n-1]\n",
"\\end{pmatrix}\n",
"$$\n",
"\n",
"where $ P[i] $ is a shortcut notation for *probability of keeping* $ P(0|x[i]) $ at state point $ i $"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Differentiating the logsum function w.r.t. $ EV[0] $\n",
"\n",
"$$\n",
"\\frac{\\partial L}{\\partial EV[0]} = \\beta\n",
"\\begin{pmatrix}\n",
"P[0] + \\bar{P}[0] \\\\\n",
"\\bar{P}[1] \\\\\n",
"\\bar{P}[2] \\\\\n",
"\\cdot \\\\\n",
"\\bar{P}[n-1]\n",
"\\end{pmatrix}\n",
"$$\n",
"\n",
"where $ \\bar{P}[i] $ is a shortcut notation for *probability of replacing* $ P(1|x[i]) $ at state point $ i $"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matrix notation for the Fréchet derivative\n",
"\n",
"$$\n",
"\\frac{\\partial \\Gamma}{\\partial EV} = \\beta\n",
"\\begin{pmatrix}\n",
"\\theta_{20} & \\theta_{21} & \\theta_{22} & 0 & \\cdot & \\cdot & \\cdot & 0 \\\\\n",
"0 & \\theta_{20} & \\theta_{21} & \\theta_{22} & 0 & \\cdot & \\cdot & 0 \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & 0 & \\theta_{20} & \\theta_{21} & \\theta_{22} \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & \\cdot & 0 & \\theta_{20} & 1-\\theta_{20} \\\\\n",
"0 & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & 0 & 1\n",
"\\end{pmatrix}\n",
"\\begin{pmatrix}\n",
"P[0] + \\bar{P}[0] & 0 & 0 & 0 & \\cdot & 0 \\\\\n",
"\\bar{P}[1] & P[1] & 0 & 0 & \\cdot & 0 \\\\\n",
"\\bar{P}[2] & 0 & P[2] & 0 & \\cdot & 0 \\\\\n",
"\\bar{P}[3] & 0 & 0 & P[3] & \\cdot & 0 \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot \\\\\n",
"\\bar{P}[n-1] & 0 & 0 & 0 & \\cdot & P[n-1]\n",
"\\end{pmatrix}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matrix notation for the Fréchet derivative\n",
"\n",
"$$\n",
"\\frac{\\partial \\Gamma}{\\partial EV} = \\beta\n",
"\\begin{pmatrix}\n",
"\\theta_{20} P[0] & \\theta_{21} P[1] & \\theta_{22} P[2] & 0 & \\cdot & \\cdot & \\cdot & 0 \\\\\n",
"0 & \\theta_{20}P[1] & \\theta_{21}P[2] & \\theta_{22}P[3] & 0 & \\cdot & \\cdot & 0 \\\\\n",
"0 & 0 &\\theta_{20}P[2] & \\theta_{21}P[3] & \\theta_{22}P[4] & 0 & \\cdot & 0 \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot \\\\\n",
"\\cdot & \\cdot & \\cdot & \\cdot & \\cdot & \\cdot & 0 & P[n-1]\n",
"\\end{pmatrix}\n",
"+ \\beta\n",
"\\begin{pmatrix}\n",
"\\Pi \\bar{P}, 0, \\dots, 0\n",
"\\end{pmatrix}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### NK iterations algorithm\n",
"\n",
"1. Initialize value function at $ EV_0 $ (starting values matter!) \n",
"1. Perform the Newton-Kantorovich step, computing the policy function along the way of applying the Bellman operator $ \\Gamma(\\cdot) $ \n",
"\n",
"\n",
"$$\n",
"EV_{k+1} = EV_{k} - (I-\\Gamma')^{-1} (I-\\Gamma)(EV_k)\n",
"$$\n",
"\n",
"1. Repeat until convergence value function space "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"hide-output": false,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"class zurcher():\n",
" '''Harold Zurcher bus engine replacement model class, VFI version'''\n",
"\n",
" def __init__(self,\n",
" n = 175, # number of state points\n",
" RC = 11.7257, # replacement cost\n",
" c = 2.45569, # parameter of maintance cost (theta_1)\n",
" p = [0.0937,0.4475,0.4459,0.0127], # probabilities of transitions (theta_2)\n",
" beta = 0.9999): # discount factor\n",
" '''Init for the Zurcher model object'''\n",
" assert sum(p)<=1.0, 'Transition probability parameters must sum up to <1'\n",
" self.RC, self.c, self.p, self.beta, self.n= RC, c, p, beta, n\n",
"\n",
" @property\n",
" def n(self):\n",
" '''Attrinute getter for n'''\n",
" return self.__n\n",
"\n",
" @n.setter\n",
" def n(self, value):\n",
" '''Attribute n setter'''\n",
" self.__n = value\n",
" self.grid = np.arange(self.__n)\n",
" self.trpr = self.__transition_probs()\n",
"\n",
" def __repr__(self):\n",
" '''String representation of the Zurcher model'''\n",
" return 'Rust model of bus engine replacement (id={})'.format(id(self))\n",
"\n",
" def __transition_probs(self):\n",
" '''Computing the transision probability matrix'''\n",
" trpr = np.zeros((self.__n,self.__n)) # init\n",
" probs = self.p + [1-sum(self.p)] # ensure sum up to 1\n",
" for i,p in enumerate(probs):\n",
" trpr += np.diag([p]*(self.__n-i),k=i)\n",
" trpr[:,-1] = 1.-np.sum(trpr[:,:-1],axis=1)\n",
" return trpr\n",
"\n",
" def bellman(self,ev0,deriv=False):\n",
" '''Bellman operator for the model\n",
" Depending on deriv argument, returns 2 or 3 outputs (Fréchet derivative)\n",
" '''\n",
" x = self.grid # points in the next period state\n",
" mcost = -0.001*x*self.c # 1-dim array of maintenance costs\n",
" vx0 = mcost + self.beta * ev0 # 1-dim array v(x,0), keep\n",
" vx1 = mcost[0] - self.RC + self.beta * ev0[0] # 1-dim array v(x,1), replace\n",
" M = np.maximum(vx0,vx1) # de-max values to avoid exp(large number)\n",
" logsum = M + np.log(np.exp(vx0-M) + np.exp(vx1-M))\n",
" ev1 = self.trpr @ logsum # 1-dim array after matrix multiplication\n",
" pk = 1/( np.exp(vx1-vx0)+1 ) # choice prob to keep\n",
" if not deriv:\n",
" return ev1, pk\n",
" # Fréchet derivative\n",
" dev1 = self.beta * self.trpr * pk[np.newaxis,:] # element-wise, pk in rows\n",
" dev1[:,0] += self.beta * self.trpr @ (1-pk) # w.r.t. EV[0] special case\n",
" return ev1, pk, dev1\n",
"\n",
" def solve_vfi(self,tol=1e-6,maxiter=100,callback=None):\n",
" '''Solves the Rust model using value function iterations\n",
" '''\n",
" ev0 = np.zeros(self.n) # initial point for VFI\n",
" err0 = 1.0 # initial lagged error\n",
" for iter in range(maxiter): # main loop\n",
" ev1, pk = self.bellman(ev0) # update approximation\n",
" err = np.amax(np.abs(ev0-ev1))\n",
" if callback:\n",
" callback(iter=iter,model=self,ev1=ev1,ev0=ev0,err=err,err_prev=err0,pk=pk,method='vfi',itertype='sa')\n",
" if err= sa_max else nk # have to switch to NK after sa_max\n",
" nk = nk or (iter>=sa_min and abs(err/err0 - self.beta)1:\n",
" if iter==0:\n",
" print('Solver = %s'%solver)\n",
" print('-'*42)\n",
" print('%7s %16s %16s'%('iter','err','err(i)/err(i-1)'))\n",
" print('-'*42)\n",
" print('%4d %2s %16.4e %16.12f'%(iter,itertype[:2],err,err/derr))\n",
" elif verbosity>0:\n",
" if iter==0:\n",
" print('Solver = %s'%solver)\n",
" print('-'*22)\n",
" print('%4s %16s'%('iter','err'))\n",
" print('-'*22)\n",
" print('%4d %16.4e'%(iter,err))\n",
" if plot:\n",
" ax1.plot(mod.grid,ev,color='k',alpha=0.25)\n",
" ax2.plot(mod.grid,pk,color='k',alpha=0.25)\n",
" callback.nriter = iter # save iter in function object attribute\n",
" # run the chosen solver\n",
" ev,pk = chosen_solver(callback=callback,**kvargs)\n",
" if plot:\n",
" # add solutions\n",
" ax1.plot(self.grid,ev,color='r',linewidth=2.5)\n",
" ax2.plot(self.grid,pk,color='r',linewidth=2.5)\n",
" plt.show()\n",
" print('{} solved with {} in {} iterations'.format(self,solver,callback.nriter))\n",
" return ev,pk"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"hide-output": false,
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
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\n",
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