The aim of this question is to derive the sufficient statiscs formula for the efficiency cost of a tax. Broadly, the aim of sufficient statistics in public economics is to express the welfare effects of a policy as a function of parameters, we can estimate using quasi-experimental est imation methods. Take the same statist general equilibrium model that we discussed in class to measure the excess burden of a tax using sufficient statistics. (a) Derive the first-order conditions of the individual maximization problem. (b) Derive the first-order conditions of the firm optimization problem. (c) Derive the sufficient statistic for the efficiency cost of tax changes using the first-order

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.10P
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1. The aim of this question is to derive the sufficient statiscs formula for the efficiency cost of a
tax. Broadly, the aim of sufficient statistics in public economics is to express the welfare effects
of a policy as a function of parameters, we can estimate using quasi-experimental est imation
methods. Take the same statist general equilibrium model that we discussed in class to measure
the excess burden of a tax using sufficient statistics.
(a) Derive the first-order conditions of the individual maximization problem.
(b) Derive the first-order conditions of the firm optimization problem.
(c) Derive the sufficient statistic for the efficiency cost of tax changes using the first-order
conditions from (a) and (b).
Transcribed Image Text:1. The aim of this question is to derive the sufficient statiscs formula for the efficiency cost of a tax. Broadly, the aim of sufficient statistics in public economics is to express the welfare effects of a policy as a function of parameters, we can estimate using quasi-experimental est imation methods. Take the same statist general equilibrium model that we discussed in class to measure the excess burden of a tax using sufficient statistics. (a) Derive the first-order conditions of the individual maximization problem. (b) Derive the first-order conditions of the firm optimization problem. (c) Derive the sufficient statistic for the efficiency cost of tax changes using the first-order conditions from (a) and (b).
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