2. Let's create a simple, two-period neoclassical model, far simpler than the models of GLS Chapter 12. In this question, in period t you only use labor to make period t output, and then you decide how much of that output to convert into capital that can be used later to help make period t+1 output. That means the "representative agent" has to decide how much of period t output to consume rather than save, but there's no such choice in period t+1. After all, t+1 is the end of time. Output is made in this very simple, constant returns to scale manner, so in each period double the input creates double the output: YN, YzK You get log utility from consumption in the first period, but square root in the second period (I chose that for a reason-notice that log has stronger diminishing marginal utility than square root!). Of course, you don't like work, so extra hours of work hurt your utility: U = ln(Ct) mNt + 2(C++1) 1/2 -

2. Let's create a simple, two-period neoclassical model, far simpler than the models of GLS Chapter 12. In this question, in period t you only use labor to make period t output, and then you decide how much of that output to convert into capital that can be used later to help make period t+1 output. That means the "representative agent" has to decide how much of period t output to consume rather than save, but there's no such choice in period t+1. After all, t+1 is the end of time. Output is made in this very simple, constant returns to scale manner, so in each period double the input creates double the output: YN, YzK You get log utility from consumption in the first period, but square root in the second period (I chose that for a reason-notice that log has stronger diminishing marginal utility than square root!). Of course, you don't like work, so extra hours of work hurt your utility: U = ln(Ct) mNt + 2(C++1) 1/2 -

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

ChapterD: The Expenditure-output Model

Section: Chapter Questions

Problem 25CTQ: Exercise D25 What role does government play in stabilizing the economy and what are the tradeoffs...

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2. Let's create a simple, two-period neoclassical model In this question, in period t you only use labor to make period t output, and then you decide how much of that output to convert into capital that can be used later to help make period t+1 output. That means the "representative agent" has to decide how much of period t output to consume rather than save, but there's no such choice in period t+1. After all, t+1 is the end of time. Output is made in this very simple, constant returns to scale manner, so in each period double the input creates double the output: Y₁ = N₁ Y zK = You get log utility from consumption in the first period, but square root in the second period Of course, you don't like work, so extra hours of work hurt your utility: U = ln(Ct) — mNt + 2(Ct+1)¹/² In this simple economy with no externalities and perfect property rights, Adam Smith's Invisible Hand Theorem will hold in its most optimistic form: A benevo- lent social planner and a decentralized private market…
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Exercise D25 What role does government play in stabilizing the economy and what are the tradeoffs that must be considered?