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Public Economics Lectures Part 1: Introduction

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Subsidies for Charity: Setup<br />

Warm-glow model.<br />

Individual maximizes<br />

U(c, g) s.t. c + g = y − τ(y − θg)<br />

where θ measures degree of deductibility of charitable insurance.<br />

Price of giving $1 to charity is $1 − θτ.<br />

Define price and income elasticities:<br />

β = 1 − θτ<br />

g<br />

γ = y g · ∂g<br />

∂y<br />

·<br />

∂g<br />

= price elasticity of charitable giving<br />

∂(1 − θτ)<br />

= income elasticity of charitable giving<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 7: <strong>Public</strong> Goods and Externalities 71 / 138

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