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Public Economics Lectures Part 1: Introduction

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Effi ciency Cost: Marshallian Surplus<br />

Alternative representation for marginal excess burden can be obtained<br />

using data on government budget R(τ) = Qτ<br />

MEB equals the difference between the “mechanical” revenue gain<br />

and the actual revenue gain<br />

Mechanical revenue gain: ∂R<br />

∂τ<br />

| Q = Q<br />

Actual revenue gain: ∂R<br />

∂τ<br />

= Q + τ dQ<br />

dp<br />

Difference between mechanical and actual revenue gain:<br />

∂R<br />

∂τ | Q − dR<br />

dτ<br />

= Q − [Q + τ dQ<br />

dp ] = τ dQ<br />

dp<br />

= −τ dQ<br />

dt<br />

p Q<br />

Q p = τ p η Q Q = ∂E<br />

∂τ<br />

Intuition: leakage in government revenue measures distortion<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 3: Effi ciency 15 / 105

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