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Chapter #3: Welfare Economics - Agricultural and Resource ...

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<strong>Welfare</strong> under Monopoly<br />

A monopoly is the only seller in a market. The basic condition for a<br />

monopoly is below:<br />

Maximizes P(Q) Q − C(Q)<br />

Q<br />

P(Q) = Inverse dem<strong>and</strong>: price as a function of quantity<br />

C(Q) = quantity.<br />

Optimality occurs where:<br />

P + Q ∂P ∂C<br />

− = 0<br />

∂Q ∂Q<br />

MR(Q) − ML(Q) = 0<br />

MR = marginal revenue<br />

MC = marginal cost.<br />

Q C = quantity under competition P M = price under monopoly<br />

P c = price under competition Q M = quantity under monopoly.<br />

A monopoly produces too little <strong>and</strong> charges too much. <strong>Welfare</strong> loss<br />

under monopoly is ΔABC.<br />

3

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