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Public Economics Lectures Part 1: Introduction

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Mandated Benefits: Incidence Formula<br />

Analysis for a small t: linear expansion around initial equilibrium<br />

where<br />

(dw/dt + 1)D ′ = (dw/dt + α)S ′<br />

dw/dt = (D ′ − αS ′ )/(S ′ − D ′ )<br />

η S<br />

= −1 + (1 − α)<br />

η S<br />

− η D<br />

η D<br />

= wD ′ /D < 0<br />

η S<br />

= wS ′ /S > 0<br />

If α = 1, dw/dt = −1 and no effect on employment<br />

More generally: 0 < α < 1 equivalent to a tax 1 − α with usual<br />

incidence and effi ciency effects<br />

<strong>Public</strong> <strong>Economics</strong> <strong>Lectures</strong> () <strong>Part</strong> 2: Tax Incidence 131 / 142

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