{ "cells": [ { "cell_type": "markdown", "source": [ "# Replication of Sims (2010)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "This example replicates [Sims (2010)](http://sims.princeton.edu/yftp/RIMP/handbookChapterRI2.pdf) from the Handbook of Monetary Economics using the [DRIPs](https://github.com/afrouzi/DRIPs.jl) package." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "See [Afrouzi and Yang (2020)](http://www.afrouzi.com/dynamic_inattention.pdf) for background on the theory." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Contents\n", "* Setup\n", "* Initialization\n", "* Solution\n", " * Benchmark Parameterization\n", " * Lower Cost of Attention: $\\omega = 0.1$\n", " * Other Discount Factors: $\\beta \\in \\{0,1\\}$\n", "* Impulse Response Functions\n", " * Benchmark Parameterization\n", " * Lower Cost of Attention: $\\omega = 0.1$\n", " * Other Discount Factors: $\\beta \\in \\{0,1\\}$\n", "* Extensions\n", " * Transition Dynamics of Attention\n", " * Impulse Response Functions with Information Treatment" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Setup" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The problem in [Sims (2011)](http://sims.princeton.edu/yftp/RIMP/handbookChapterRI2.pdf), as it appears on page 21, with slight change of notation,\n", "$$\n", "\\begin{aligned}\n", " & \\min_{\\{\\Sigma_{t|t}\\succeq 0\\}_{t\\geq 0}} \\mathbb{E}_0\\left[\\sum_{t=0}^\\infty\n", " \\beta^t \\left(tr(\\Sigma_{t|t}\\mathbf{H}\\mathbf{H}')+\\omega\\log\\left(\\frac{|\\Sigma_{t|t-1}|}{|\\Sigma_{t|t}|}\\right)\\right)\\right] \\\\\n", " s.t.\\quad &\n", " \\Sigma_{t+1|t}=\\mathbf{A}\\Sigma_{t|t}\\mathbf{A}'+\\mathbf{Q}\\mathbf{Q}'\\\\\n", " & \\Sigma_{t|t-1}-\\Sigma_{t|t} \\text{ positive semi-definite}\n", "\\end{aligned}\n", "$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "where\n", "$$\n", "\\begin{aligned}\n", " \\mathbf{H} = \\left[\\begin{array}{c} 1 \\\\ 1\\end{array}\\right],\n", " \\quad\n", " \\mathbf{A} = \\left[\\begin{array}{cc}\n", " 0.95 & 0\\\\\n", " 0 & 0.4\\\\\n", " \\end{array}\\right],\n", " \\quad\n", " \\mathbf{Q} = \\left[\\begin{array}{cc}\n", " \\sqrt{0.0975} & 0\\\\\n", " 0 & \\sqrt{0.86}\\\\\n", " \\end{array}\\right]\n", "\\end{aligned}\n", "$$\n", "We have renamed the parameters so that the problem directly maps to a D.R.I.P. Otherwise, the problem is the same." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "## Initialization\n", "Include the package:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using DRIPs;" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "Set parameters:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "β = 0.9;\n", "ω = 1.0;\n", "A = [0.95 0.0; 0.0 0.4];\n", "Q = [√0.0975 0.0; 0.0 √0.86];\n", "H = [1.0; 1.0];" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "## Solution and Performance\n", "### Benchmark Parameterization\n", "Solve and display the optimal posterior covariance matrix:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "2×2 Array{Float64,2}:\n 0.359213 -0.177025\n -0.177025 0.794584" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "sol_bp = Drip(ω,β,A,Q,H);\n", "sol_bp.ss.Σ_p" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "Performance for random values of $\\omega\\in [0,2]$:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 162.38 KiB\n allocs estimate: 1551\n --------------\n minimum time: 80.912 μs (0.00% GC)\n median time: 107.182 μs (0.00% GC)\n mean time: 116.384 μs (10.82% GC)\n maximum time: 15.948 ms (98.83% GC)\n --------------\n samples: 10000\n evals/sample: 1" }, "metadata": {}, "execution_count": 4 } ], "cell_type": "code", "source": [ "using BenchmarkTools;\n", "@benchmark Drip(ω,β,A,Q,H) setup = (ω = 2*rand())" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "Performance for random values of $\\beta\\in[0,1]$:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 162.38 KiB\n allocs estimate: 1551\n --------------\n minimum time: 81.683 μs (0.00% GC)\n median time: 112.221 μs (0.00% GC)\n mean time: 126.802 μs (11.12% GC)\n maximum time: 15.902 ms (98.94% GC)\n --------------\n samples: 10000\n evals/sample: 1" }, "metadata": {}, "execution_count": 5 } ], "cell_type": "code", "source": [ "@benchmark Drip(ω,β,A,Q,H) setup = (β = rand())" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "### Lower Cost of Attention: $\\omega = 0.1$\n", "Solve and display the optimal posterior covariance matrix:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "2×2 Array{Float64,2}:\n 0.319919 -0.304142\n -0.304142 0.386163" }, "metadata": {}, "execution_count": 6 } ], "cell_type": "code", "source": [ "sol_lω = Drip(0.1,β,A,Q,H);\n", "sol_lω.ss.Σ_p" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "### Different Discount Factors: $\\beta \\in \\{0,1\\}$\n", "Solve the model for $\\beta=0$ and $\\beta=1$ to compare with the benchmark value of $\\beta=0.9$:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "``\\beta = 0``" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "2×2 Array{Float64,2}:\n 0.495403 -0.152171\n -0.152171 0.808939" }, "metadata": {}, "execution_count": 7 } ], "cell_type": "code", "source": [ "sol_lβ = Drip(ω,0,A,Q,H);\n", "sol_lβ.ss.Σ_p" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "``\\beta = 1``:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "2×2 Array{Float64,2}:\n 0.337666 -0.178019\n -0.178019 0.799701" }, "metadata": {}, "execution_count": 8 } ], "cell_type": "code", "source": [ "sol_hβ = Drip(ω,1,A,Q,H);\n", "sol_hβ.ss.Σ_p" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "## Impulse Response Functions\n", "### Benchmark Parameterization\n", "Get the IRFs:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "T = 25;\n", "irfs_bp = irfs(sol_bp,T = T);" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=4}", "image/png": 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[:circle :square],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p2 = plot(1:T, [irfs_bp.x[2,2,:], irfs_bp.a[1,2,:]],\n", " title = L\"IRFs to Fast-Moving Shock ($\\rho = 0.4$)\",\n", " label = [\"Shock\" \"Price\"],\n", " color = [:darkgray :black],\n", " marker = [:circle :square],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p = plot(p1,p2,\n", " layout = (2,1),\n", " xlabel = \"Time\",\n", " lw = 2,\n", " xticks = (1:2:T),\n", " xlim = (0,T+1),\n", " fontfamily = \"serif\",\n", " legend = :topright,\n", " legendfont = font(12),\n", " tickfont = font(12),\n", " size = (900,550),\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "### Lower Cost of Attention: $\\omega=0.1$\n", "Get the IRFs:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "T = 25; #length of IRFs\n", "irfs_lω = irfs(sol_lω,T = T);" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=4}", "image/png": 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\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ] }, "metadata": {}, "execution_count": 12 } ], "cell_type": "code", "source": [ "p1 = plot(1:T, [irfs_lω.x[1,1,:], irfs_lω.a[1,1,:]],\n", " title = L\"IRFs to Slow-Moving Shock ($\\rho = 0.95$)\",\n", " label = [\"Shock\" \"Price\"],\n", " color = [:darkgray :black],\n", " marker = [:circle :square],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p2 = plot(1:T, [irfs_lω.x[2,2,:], irfs_lω.a[1,2,:]],\n", " title = L\"IRFs to Fast-Moving Shock ($\\rho = 0.4$)\",\n", " label = [\"Shock\" \"Price\"],\n", " color = [:darkgray :black],\n", " marker = [:circle :square],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p = plot(p1,p2,\n", " layout = (2,1),\n", " xlabel = \"Time\",\n", " lw = 2,\n", " xticks = (1:2:T),\n", " xlim = (0,T+1),\n", " fontfamily = \"serif\",\n", " legend = :topright,\n", " legendfont = font(12),\n", " tickfont = font(12),\n", " size = (900,550),\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "### Other Discount Factors: $\\beta\\in\\{0,1\\}$\n", "Get the IRFs:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "T = 25; #length of IRFs\n", "irfs_lβ = irfs(sol_lβ,T = T);\n", "irfs_hβ = irfs(sol_hβ,T = T);" ], "metadata": {}, "execution_count": 13 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=6}", "image/png": 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:utriangle],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p2 = plot(1:T, [irfs_bp.x[2,2,:],irfs_hβ.a[1,2,:], irfs_lβ.a[1,2,:]],\n", " title = L\"IRFs to Fast-Moving Shock ($\\rho = 0.4$)\",\n", " label = [\"Shock\" L\"Priceblack ($\\beta=1$)\" L\"Price ($\\beta=0$)\"],\n", " color = [:darkgray :black :gray50],\n", " marker = [:circle :square :utriangle],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p = plot(p1,p2,\n", " layout = (2,1),\n", " xlabel = \"Time\",\n", " lw = 2,\n", " xticks = (1:2:T),\n", " xlim = (0,T+1),\n", " fontfamily = \"serif\",\n", " legend = :topright,\n", " legendfont = font(12),\n", " tickfont = font(12),\n", " size = (900,550),\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 14 }, { "cell_type": "markdown", "source": [ "## Extensions" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "### Transition Dynamics of Attention" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this section, we solve for the transition dynamics of the optimal posterior covariance matrix starting from an initial prior that is different from the steady state prior." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For instance let us consider a case where the firm is at the steady state of the rational inattention problem at time 0, with prior covariance matrix $\\bar{\\Sigma}_{-1}$, and it receives a one time treatment with a perfectly informative signal about its optimal price:" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "$$s_0 = \\mathbf{H}'\\vec{x}_0$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "#### Solve for the transition dynamics\n", "The function `Trip` solves for the transition dynamics automatically given the initial signal. Start by initializing the initial signal:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "s0 = DRIPs.Signal(H,0.0);" ], "metadata": {}, "execution_count": 15 }, { "cell_type": "markdown", "source": [ "Solve for the transition dynamics given $s_0$:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "Tss = 15; # guess for time until convergence\n", "bp_trip = Trip(sol_bp, s0; T = Tss);" ], "metadata": {}, "execution_count": 16 }, { "cell_type": "markdown", "source": [ "Performance for solving the transition dynamics for a random signal:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "BenchmarkTools.Trial: \n memory estimate: 487.58 KiB\n allocs estimate: 5667\n --------------\n minimum time: 492.828 μs (0.00% GC)\n median time: 533.865 μs (0.00% GC)\n mean time: 590.473 μs (6.59% GC)\n maximum time: 17.576 ms (89.22% GC)\n --------------\n samples: 8441\n evals/sample: 1" }, "metadata": {}, "execution_count": 17 } ], "cell_type": "code", "source": [ "@benchmark Trip(sol_bp, S; T = 30) setup = (S = DRIPs.Signal(rand(2),0.0))" ], "metadata": {}, "execution_count": 17 }, { "cell_type": "markdown", "source": [ "#### Plot Transition Path of Eigenvalues" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Plot the marginal values of information. In this problem the state is two dimensional. At any time, for every orthogonalized dimension, the agent weighs the **marginal value** of acquiring information in that dimension against the **marginal cost** of attention which is the parameter $\\omega$.**The number of signals that the agent acquires at any time is the number of marginal values that are larger than $\\omega$.**" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=3}", "image/png": 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marginal value dim.\" \"Marginal cost of attention\"],\n", " size = (900,275),\n", " title = \"Marginal Value of Information\",\n", " xlabel = \"Time\",\n", " color = [:darkgray :black :black],\n", " line = [:solid :solid :dash],\n", " marker = [:circle :square :none],\n", " markercolor = false,\n", " markerstrokecolor = :match,\n", " markersize = 6,\n", " xlim = (-1,Tss),\n", " xticks = 0:2:Tss-1,\n", " legend = :outertopright,\n", " fontfamily = \"serif\",\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 18 }, { "cell_type": "markdown", "source": [ "### Impulse Response Functions with Information Treatment\n", "Get the IRFs in the transition path after treatment:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "T = 30;\n", "\n", "tirfs_bp = irfs(sol_bp,s0,T = T); # irfs with treatment\n", "irfs_bp = irfs(sol_bp,T = T); # irfs in the Ss (without treatment)" ], "metadata": {}, "execution_count": 19 }, { "cell_type": "markdown", "source": [ "Plot IRFs:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.PyPlotBackend() n=6}", "image/png": 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\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ] }, "metadata": {}, "execution_count": 20 } ], "cell_type": "code", "source": [ "p1 = plot(1:T, [irfs_bp.x[1,1,:], tirfs_bp.a[1,1,:], irfs_bp.a[1,1,:]],\n", " title = L\"IRFs to Slow-Moving Shock ($\\rho = 0.95$)\",\n", " label = [\"Shock\" \"Price (w/ treatment)\" \"Price (w/o treatment)\"],\n", " color = [:darkgray :black :gray80],\n", " marker = [:circle :square :utriangle],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p2 = plot(1:T, [tirfs_bp.x[2,2,:], tirfs_bp.a[1,2,:], irfs_bp.a[1,2,:]],\n", " title = L\"IRFs to Fast-Moving Shock ($\\rho = 0.4$)\",\n", " label = [\"Shock\" \"Price (w/ treatment)\" \"Price (w/o treatment)\"],\n", " color = [:darkgray :black :gray80],\n", " marker = [:circle :square :utriangle],\n", " markerstrokecolor = :match,\n", " markercolor = false,\n", " markersize = 6)\n", "p = plot(p1,p2,\n", " layout = (2,1),\n", " xlabel = \"Time\",\n", " lw = 2,\n", " xticks = (1:2:T),\n", " xlim = (0,T+1),\n", " fontfamily = \"serif\",\n", " legend = :topright,\n", " legendfont = font(12),\n", " tickfont = font(12),\n", " size = (900,550),\n", " framestyle = :box)" ], "metadata": {}, "execution_count": 20 }, { "cell_type": "markdown", "source": [ "---\n", "\n", "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" ], "metadata": {} } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.4.1" }, "kernelspec": { "name": "julia-1.4", "display_name": "Julia 1.4.1", "language": "julia" } }, "nbformat": 4 }