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Public Economics Lectures Part 1: Introduction

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Optimization Frictions: Examples<br />

Agent pays adjustment cost k i to change consumption<br />

Demand set optimally at initial price p 0<br />

Let x(p) denote observed demand at price p<br />

Define observed elasticity estimated from price increase as<br />

̂ε = E log x 1 − E log x 0<br />

log p 1 − log p 0<br />

Observed elasticity confounds structural elasticity ε with adjustment<br />

cost distribution:<br />

̂ε = P(∆u i > k i )ε<br />

Behavioral example: price misperception ˜p(p)<br />

̂ε = ε E log ˜p(p 1) − E log ˜p(p 0 )<br />

log p 1 − log p 0<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> ()<strong>Part</strong> 5: Income Taxation and Labor Supply 186 / 217

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