{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", " \"QuantEcon\"\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Uncertainty Traps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", "- [Uncertainty Traps](#Uncertainty-Traps) \n", " - [Overview](#Overview) \n", " - [The Model](#The-Model) \n", " - [Implementation](#Implementation) \n", " - [Results](#Results) \n", " - [Exercises](#Exercises) \n", " - [Solutions](#Solutions) \n", " - [Exercise 2](#Exercise-2) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview\n", "\n", "In this lecture we study a simplified version of an uncertainty traps model of Fajgelbaum, Schaal and Taschereau-Dumouchel [[FSTD15]](../zreferences.html#fun).\n", "\n", "The model features self-reinforcing uncertainty that has big impacts on economic activity.\n", "\n", "In the model,\n", "\n", "- Fundamentals vary stochastically and are not fully observable. \n", "- At any moment there are both active and inactive entrepreneurs; only active entrepreneurs produce. \n", "- Agents – active and inactive entrepreuneurs – have beliefs about the fundamentals expressed as probability distributions. \n", "- Greater uncertainty means greater dispersions of these distributions. \n", "- Entrepreneurs are risk averse and hence less inclined to be active when uncertainty is high. \n", "- The output of active entrepreneurs is observable, supplying a noisy signal that helps everyone inside the model infer fundamentals. \n", "- Entrepreneurs update their beliefs about fundamentals using Bayes’ Law, implemented via [Kalman filtering](../tools_and_techniques/kalman.html). \n", "\n", "\n", "Uncertainty traps emerge because:\n", "\n", "- High uncertainty discourages entrepreneurs from becoming active. \n", "- A low level of participation – i.e., a smaller number of active entrepreneurs – diminishes the flow of information about fundamentals. \n", "- Less information translates to higher uncertainty, further discouraging entrepreneurs from choosing to be active, and so on. \n", "\n", "\n", "Uncertainty traps stem from a positive externality: high aggregate economic activity levels generates valuable information." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Model\n", "\n", "The original model described in [[FSTD15]](../zreferences.html#fun) has many interesting moving parts.\n", "\n", "Here we examine a simplified version that nonetheless captures many of the key ideas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fundamentals\n", "\n", "The evolution of the fundamental process $ \\{\\theta_t\\} $ is given by\n", "\n", "$$\n", "\\theta_{t+1} = \\rho \\theta_t + \\sigma_{\\theta} w_{t+1}\n", "$$\n", "\n", "where\n", "\n", "- $ \\sigma_\\theta > 0 $ and $ 0 < \\rho < 1 $ \n", "- $ \\{w_t\\} $ is IID and standard normal \n", "\n", "\n", "The random variable $ \\theta_t $ is not observable at any time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Output\n", "\n", "There is a total $ \\bar M $ of risk averse entrepreneurs.\n", "\n", "Output of the $ m $-th entrepreneur, conditional on being active in the market at\n", "time $ t $, is equal to\n", "\n", "\n", "\n", "$$\n", "x_m = \\theta + \\epsilon_m\n", "\\quad \\text{where} \\quad\n", "\\epsilon_m \\sim N \\left(0, \\gamma_x^{-1} \\right) \\tag{1}\n", "$$\n", "\n", "Here the time subscript has been dropped to simplify notation.\n", "\n", "The inverse of the shock variance, $ \\gamma_x $, is called the shock’s **precision**.\n", "\n", "The higher is the precision, the more informative $ x_m $ is about the fundamental.\n", "\n", "Output shocks are independent across time and firms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Information and Beliefs\n", "\n", "All entrepreneurs start with identical beliefs about $ \\theta_0 $.\n", "\n", "Signals are publicly observable and hence all agents have identical beliefs always.\n", "\n", "Dropping time subscripts, beliefs for current $ \\theta $ are represented by the normal\n", "distribution $ N(\\mu, \\gamma^{-1}) $.\n", "\n", "Here $ \\gamma $ is the precision of beliefs; its inverse is the degree of uncertainty.\n", "\n", "These parameters are updated by Kalman filtering.\n", "\n", "Let\n", "\n", "- $ \\mathbb M \\subset \\{1, \\ldots, \\bar M\\} $ denote the set of currently active firms \n", "- $ M := |\\mathbb M| $ denote the number of currently active firms \n", "- $ X $ be the average output $ \\frac{1}{M} \\sum_{m \\in \\mathbb M} x_m $ of the active firms \n", "\n", "\n", "With this notation and primes for next period values, we can write the updating of the mean and precision via\n", "\n", "\n", "\n", "$$\n", "\\mu' = \\rho \\frac{\\gamma \\mu + M \\gamma_x X}{\\gamma + M \\gamma_x} \\tag{2}\n", "$$\n", "\n", "\n", "\n", "$$\n", "\\gamma' =\n", " \\left(\n", " \\frac{\\rho^2}{\\gamma + M \\gamma_x} + \\sigma_\\theta^2\n", " \\right)^{-1} \\tag{3}\n", "$$\n", "\n", "These are standard Kalman filtering results applied to the current setting.\n", "\n", "Exercise 1 provides more details on how [(2)](#equation-update-mean) and [(3)](#equation-update-prec) are derived, and then asks you to fill in remaining steps.\n", "\n", "The next figure plots the law of motion for the precision in [(3)](#equation-update-prec)\n", "as a 45 degree diagram, with one curve for each $ M \\in \\{0, \\ldots, 6\\} $.\n", "\n", "The other parameter values are $ \\rho = 0.99, \\gamma_x = 0.5, \\sigma_\\theta =0.5 $\n", "\n", "\n", "\n", " \n", "Points where the curves hit the 45 degree lines are long run steady\n", "states for precision for different values of $ M $.\n", "\n", "Thus, if one of these values for $ M $ remains fixed, a corresponding steady state is the equilibrium level of precision\n", "\n", "- high values of $ M $ correspond to greater information about the\n", " fundamental, and hence more precision in steady state \n", "- low values of $ M $ correspond to less information and more uncertainty in steady state \n", "\n", "\n", "In practice, as we’ll see, the number of active firms fluctuates stochastically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Participation\n", "\n", "Omitting time subscripts once more, entrepreneurs enter the market in the current period if\n", "\n", "\n", "\n", "$$\n", "\\mathbb E [ u(x_m - F_m) ] > c \\tag{4}\n", "$$\n", "\n", "Here\n", "\n", "- the mathematical expectation of $ x_m $ is based on [(1)](#equation-xgt) and beliefs $ N(\\mu, \\gamma^{-1}) $ for $ \\theta $ \n", "- $ F_m $ is a stochastic but previsible fixed cost, independent across time and firms \n", "- $ c $ is a constant reflecting opportunity costs \n", "\n", "\n", "The statement that $ F_m $ is previsible means that it is realized at the start of the period and treated as a constant in [(4)](#equation-pref1).\n", "\n", "The utility function has the constant absolute risk aversion form\n", "\n", "\n", "\n", "$$\n", "u(x) = \\frac{1}{a} \\left(1 - \\exp(-a x) \\right) \\tag{5}\n", "$$\n", "\n", "where $ a $ is a positive parameter.\n", "\n", "Combining [(4)](#equation-pref1) and [(5)](#equation-pref2), entrepreneur $ m $ participates in the market (or is said to be active) when\n", "\n", "$$\n", "\\frac{1}{a}\n", " \\left\\{\n", " 1 - \\mathbb E [ \\exp \\left(\n", " -a (\\theta + \\epsilon_m - F_m)\n", " \\right) ]\n", " \\right\\}\n", " > c\n", "$$\n", "\n", "Using standard formulas for expectations of [lognormal](https://en.wikipedia.org/wiki/Log-normal_distribution) random variables, this is equivalent to the condition\n", "\n", "\n", "\n", "$$\n", "\\psi(\\mu, \\gamma, F_m) :=\n", "\\frac{1}{a}\n", " \\left(\n", " 1 - \\exp \\left(\n", " -a \\mu + a F_m +\n", " \\frac{a^2 \\left( \\frac{1}{\\gamma} + \\frac{1}{\\gamma_x} \\right)}{2}\n", " \\right)\n", " \\right) - c > 0 \\tag{6}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "We want to simulate this economy.\n", "\n", "We’ll want a named tuple generator of the kind that we’ve seen before.\n", "\n", "And we need methods to update $ \\theta $, $ \\mu $ and $ \\gamma $, as well as to determine the number of active firms and their outputs.\n", "\n", "The updating methods follow the laws of motion for $ \\theta $, $ \\mu $ and $ \\gamma $ given above.\n", "\n", "The method to evaluate the number of active firms generates $ F_1,\n", "\\ldots, F_{\\bar M} $ and tests condition [(6)](#equation-firm-test) for each firm." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide-output": true }, "outputs": [], "source": [ "using InstantiateFromURL\n", "# optionally add arguments to force installation: instantiate = true, precompile = true\n", "github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.8.0\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide-output": false }, "outputs": [], "source": [ "using LinearAlgebra, Statistics\n", "using DataFrames, Parameters, Plots\n", "gr(fmt = :png);" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide-output": false }, "outputs": [ { "data": { "text/plain": [ "##NamedTuple_kw#253 (generic function with 2 methods)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "UncertaintyTrapEcon = @with_kw (a = 1.5, # risk aversion\n", " γ_x = 0.5, # production shock precision\n", " ρ = 0.99, # correlation coefficient for θ\n", " σ_θ = 0.5, # standard dev. of θ shock\n", " num_firms = 100, # number of firms\n", " σ_F = 1.5, # standard dev. of fixed costs\n", " c = -420.0, # external opportunity cost\n", " μ_init = 0.0, # initial value for μ\n", " γ_init = 4.0, # initial value for γ\n", " θ_init = 0.0, # initial value for θ\n", " σ_x = sqrt(a / γ_x)) # standard dev. of shock" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the results below we use this code to simulate time series for the major variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Results\n", "\n", "Let’s look first at the dynamics of $ \\mu $, which the agents use to track $ \\theta $\n", "\n", "\n", "\n", " \n", "We see that $ \\mu $ tracks $ \\theta $ well when there are sufficient firms in the market.\n", "\n", "However, there are times when $ \\mu $ tracks $ \\theta $ poorly due to\n", "insufficient information.\n", "\n", "These are episodes where the uncertainty traps take hold.\n", "\n", "During these episodes\n", "\n", "- precision is low and uncertainty is high \n", "- few firms are in the market \n", "\n", "\n", "To get a clearer idea of the dynamics, let’s look at all the main time series\n", "at once, for a given set of shocks\n", "\n", "\n", "\n", " \n", "Notice how the traps only take hold after a sequence of bad draws for the fundamental.\n", "\n", "Thus, the model gives us a *propagation mechanism* that maps bad random draws into long downturns in economic activity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "\n", "Fill in the details behind [(2)](#equation-update-mean) and [(3)](#equation-update-prec) based on\n", "the following standard result (see, e.g., p. 24 of [[YS05]](../zreferences.html#young2005)).\n", "\n", "**Fact** Let $ \\mathbf x = (x_1, \\ldots, x_M) $ be a vector of IID draws\n", "from common distribution $ N(\\theta, 1/\\gamma_x) $\n", "and let $ \\bar x $ be the sample mean. If $ \\gamma_x $\n", "is known and the prior for $ \\theta $ is $ N(\\mu, 1/\\gamma) $, then the posterior\n", "distribution of $ \\theta $ given $ \\mathbf x $ is\n", "\n", "$$\n", "\\pi(\\theta \\,|\\, \\mathbf x) = N(\\mu_0, 1/\\gamma_0)\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\mu_0 = \\frac{\\mu \\gamma + M \\bar x \\gamma_x}{\\gamma + M \\gamma_x}\n", "\\quad \\text{and} \\quad\n", "\\gamma_0 = \\gamma + M \\gamma_x\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2\n", "\n", "Modulo randomness, replicate the simulation figures shown above\n", "\n", "- Use the parameter values listed as defaults in the function UncertaintyTrapEcon. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solutions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "\n", "This exercise asked you to validate the laws of motion for\n", "$ \\gamma $ and $ \\mu $ given in the lecture, based on the stated\n", "result about Bayesian updating in a scalar Gaussian setting.\n", "\n", "The stated result tells us that after observing average output $ X $ of the\n", "$ M $ firms, our posterior beliefs will be\n", "\n", "$$\n", "N(\\mu_0, 1/\\gamma_0)\n", "$$\n", "\n", "where\n", "\n", "$$\n", "\\mu_0 = \\frac{\\mu \\gamma + M X \\gamma_x}{\\gamma + M \\gamma_x}\n", "\\quad \\text{and} \\quad\n", "\\gamma_0 = \\gamma + M \\gamma_x\n", "$$\n", "\n", "If we take a random variable $ \\theta $ with this distribution and\n", "then evaluate the distribution of $ \\rho \\theta + \\sigma_\\theta w $\n", "where $ w $ is independent and standard normal, we get the\n", "expressions for $ \\mu' $ and $ \\gamma' $ given in the lecture." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 2\n", "\n", "First let’s replicate the plot that illustrates the law of motion for\n", "precision, which is\n", "\n", "$$\n", "\\gamma_{t+1} =\n", " \\left(\n", " \\frac{\\rho^2}{\\gamma_t + M \\gamma_x} + \\sigma_\\theta^2\n", " \\right)^{-1}\n", "$$\n", "\n", "Here $ M $ is the number of active firms. The next figure plots\n", "$ \\gamma_{t+1} $ against $ \\gamma_t $ on a 45 degree diagram for\n", "different values of $ M $" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "econ = UncertaintyTrapEcon()\n", "@unpack ρ, σ_θ, γ_x = econ # simplify names\n", "\n", "# grid for γ and γ_{t+1}\n", "γ = range(1e-10, 3, length = 200)\n", "M_range = 0:6\n", "γp = 1 ./ (ρ^2 ./ (γ .+ γ_x .* M_range') .+ σ_θ^2)\n", "\n", "labels = [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"6\"]\n", "\n", "plot(γ, γ, lw = 2, label = \"45 Degree\")\n", "plot!(γ, γp, lw = 2, label = labels)\n", "plot!(xlabel = \"Gamma\", ylabel = \"Gamma'\", legend_title = \"M\", legend = :bottomright)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The points where the curves hit the 45 degree lines are the long run\n", "steady states corresponding to each $ M $, if that value of\n", "$ M $ was to remain fixed. As the number of firms falls, so does the\n", "long run steady state of precision.\n", "\n", "Next let’s generate time series for beliefs and the aggregates – that\n", "is, the number of active firms and average output" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide-output": false }, "outputs": [ { "data": { "text/plain": [ "simulate (generic function with 2 methods)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function simulate(uc, capT = 2_000)\n", " # unpack parameters\n", " @unpack a, γ_x, ρ, σ_θ, num_firms, σ_F, c, μ_init, γ_init, θ_init, σ_x = uc\n", "\n", " # draw standard normal shocks\n", " w_shocks = randn(capT)\n", "\n", " # aggregate functions\n", " # auxiliary function ψ\n", " function ψ(γ, μ, F)\n", " temp1 = -a * (μ - F)\n", " temp2 = 0.5 * a^2 / (γ + γ_x)\n", " return (1 - exp(temp1 + temp2)) / a - c\n", " end\n", "\n", " # compute X, M\n", " function gen_aggregates(γ, μ, θ)\n", " F_vals = σ_F * randn(num_firms)\n", " M = sum(ψ.(Ref(γ), Ref(μ), F_vals) .> 0) # counts number of active firms\n", " if any(ψ(γ, μ, f) > 0 for f in F_vals) # ∃ an active firm\n", " x_vals = θ .+ σ_x * randn(M)\n", " X = mean(x_vals)\n", " else\n", " X = 0.0\n", " end\n", " return (X = X, M = M)\n", " end\n", "\n", " # initialize dataframe\n", " X_init, M_init = gen_aggregates(γ_init, μ_init, θ_init)\n", " df = DataFrame(γ = γ_init, μ = μ_init, θ = θ_init, X = X_init, M = M_init)\n", "\n", " # update dataframe\n", " for t in 2:capT\n", " # unpack old variables\n", " θ_old, γ_old, μ_old, X_old, M_old = (df.θ[end], df.γ[end], df.μ[end], df.X[end], df.M[end])\n", "\n", " # define new beliefs\n", " θ = ρ * θ_old + σ_θ * w_shocks[t-1]\n", " μ = (ρ * (γ_old * μ_old + M_old * γ_x * X_old))/(γ_old + M_old * γ_x)\n", " γ = 1 / (ρ^2 / (γ_old + M_old * γ_x) + σ_θ^2)\n", "\n", " # compute new aggregates\n", " X, M = gen_aggregates(γ, μ, θ)\n", " push!(df, (γ = γ, μ = μ, θ = θ, X = X, M = M))\n", " end\n", "\n", " # return\n", " return df\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First let’s see how well $ \\mu $ tracks $ \\theta $ in these\n", "simulations" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = simulate(econ)\n", "\n", "plot(eachindex(df.μ), df.μ, lw = 2, label = \"Mu\")\n", "plot!(eachindex(df.θ), df.θ, lw = 2, label = \"Theta\")\n", "plot!(xlabel = \"x\", ylabel = \"y\", legend_title = \"Variable\", legend = :bottomright)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let’s plot the whole thing together" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide-output": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len = eachindex(df.θ)\n", "yvals = [df.θ, df.μ, df.γ, df.M]\n", "vars = [\"Theta\", \"Mu\", \"Gamma\", \"M\"]\n", "\n", "plt = plot(layout = (4,1), size = (600, 600))\n", "\n", "for i in 1:4\n", " plot!(plt[i], len, yvals[i], xlabel = \"t\", ylabel = vars[i], label = \"\")\n", "end\n", "\n", "plot(plt)" ] } ], "metadata": { "date": 1591310626.1394184, "download_nb": 1, "download_nb_path": "https://julia.quantecon.org/", "filename": "uncertainty_traps.rst", "filename_with_path": "multi_agent_models/uncertainty_traps", "kernelspec": { "display_name": "Julia 1.4.2", "language": "julia", "name": "julia-1.4" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.4.2" }, "title": "Uncertainty Traps" }, "nbformat": 4, "nbformat_minor": 2 }