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Public Economics Lectures Part 1: Introduction

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Discrete Choice Model<br />

Recast as planner’s problem choosing threshold above which agents<br />

are allocated good 1:<br />

{<br />

}<br />

W (t) =<br />

+t<br />

max<br />

_<br />

V<br />

∫ ∞<br />

_<br />

V<br />

∫ ∞<br />

_<br />

V<br />

[V k − (p 1 + t)] dF (V k ) + Z<br />

dF (V k )<br />

Again obtain Harberger formula as a fn of slope of aggregate demand<br />

curve dx 1<br />

dt :<br />

dW<br />

dt<br />

⇒ dW dt<br />

( ( _ )) ( ( _ ))<br />

= − 1 − F V + 1 − F V + t d ∫ _ ∞<br />

V dF (V k )<br />

dt<br />

= t dx 1<br />

dt<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 3: Effi ciency 59 / 105

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