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Public Economics Lectures Part 1: Introduction

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Optimal Income Tax with No Behavioral Responses<br />

Utility u(c) strictly increasing and concave<br />

Same for everybody where c is after tax income<br />

Income is z and is fixed for each individual, c = z − T (z) where<br />

T (z) is tax on z<br />

Government maximizes Utilitarian objective:<br />

∫ ∞<br />

0<br />

u(z − T (z))h(z)dz<br />

Subject to budget constraint ∫ T (z)h(z)dz ≥ E (multiplier λ)<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 4: Optimal Taxation 54 / 121

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