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Public Economics Lectures Part 1: Introduction

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Effi ciency Cost with Income Effects<br />

EB(t S ) ≃ − 1 2 (tS ) 2 ∂x c /∂t S<br />

∂x c /∂p ∂x c /∂t S<br />

= 1 2 (θc t S ) 2 ε c D<br />

p + t S<br />

With income effects (dx/dZ > 0), making a tax less salient can raise<br />

deadweight loss.<br />

Tax can generate EB > 0 even if dx/dt S = 0<br />

Example: consumption of food and cars; agent who ignores tax on<br />

cars underconsumes food and has lower welfare.<br />

Intuition: agent does not adjust consumption of x despite change in<br />

net-of-tax income, leading to a positive compensated elasticity.<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 3: Effi ciency 104 / 105

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