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Surplus: Consumer and Producer Demand = WTP Supply = MC Quantity $ Consumer Surplus QMQM Producer Surplus in a Monopoly Consumer Surplus in a Monopoly Deadweight loss in a Monopoly MR for Monopolist PCPC QCQC PMPM Producer Surplus
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But How Bad? Here the DWL from monopoly is relatively significant Here it is less significant
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What’s the Difference Between the Two Pictures? The elasticity of the demand curve. Graphically MR curve closer to the demand curve MC closer to P* at Q* Intuitively With elastic demand curve, small changes in price cause large changes in demand. Takes away much of monopolist’s power to price above cost. Back to the Picture
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Lerner Index of Monopoly Power L = (P-MC)/P = 1/ where is the elasticity of demand Wait a minute…How did I get from (P-MC)/P to 1/ ? (Not that I’d test you on it -- just so you know its legit.) Remember… TR = P * Q = (A-BQ)Q MR = A-2BQ = A - BQ - BQ Since B = slope of the inverse demand curve, B = P/ Q Rewrite MR = P - P/ Q *Q which we set equal to MC, so... L = (P-MC)/P = (P - P - P/ Q *Q)/P = - P/ Q *Q/P = 1/
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Lerner Index Estimates for Selected Industries Automobiles Tobacco Food Processing Coffee Roasting Aluminum Retail Gasoline Soft Drinks Lerner Index Estimates for Selected Industries Automobiles0.100 - 0.340 Tobacco0.648 Food Processing0.504 Coffee Roasting0.055 Aluminum0.590 Retail Gasoline0.100 Soft Drinks0.64 Interpreting the Lerner Index L = (P-MC)/P = 1/ A high Lerner index implies a high price-cost margin and a low elasticity of demand, which in turn implies lots of monopoly power and deadweight loss.
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