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Public Economics Lectures Part 1: Introduction

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Special Case 2: Uniform Taxation<br />

Then immediately obtain<br />

With constant ε xi ,w , τ i<br />

q i<br />

1<br />

x i<br />

τ i = − θ λ<br />

1<br />

∂h i<br />

∂q i<br />

= θ λ<br />

1<br />

∂h i<br />

∂w w<br />

τ i<br />

= θ 1<br />

= θ q i λ ∂h i w λ ε x i ,w<br />

∂w x i<br />

is constant → uniform taxation<br />

Corlett and Hague (1953): 3 good model, uniform tax optimal if all<br />

goods are equally complementary with labor (and labor is untaxed)<br />

More generally, lower taxes for goods complementary to labor<br />

Different intuition than Goulder and Williams (2003) argument for<br />

why taxing goods complementary with labor is undesirable<br />

Here, higher substitutability with labor ⇒ higher own price elasticity;<br />

no pre-existing tax on labor<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 4: Optimal Taxation 20 / 121

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