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PPA 723: Managerial Economics Lecture 15: Monopoly The Maxwell School, Syracuse University Professor John Yinger
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Managerial Economics, Lecture 15: Monopoly Outline Monopoly Pricing Welfare Effects of Monopoly How Do Monopolies Arise? Monopolies and Public Policy Anti-trust laws and regulation Public monopolies
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Managerial Economics, Lecture 15: Monopoly Monopoly A monopoly is the only supplier of a good for which there is no close substitute. A monopoly's output is the market output. A monopoly's demand curve is market demand curve. Its demand curve is downward sloping. It doesn't lose all its sales if it raises its price. A monopoly is a price setter, not a price taker.
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Managerial Economics, Lecture 15: Monopoly Monopoly Profit Maximization Monopolies, like other firms, maximize profits by choosing quantity such that: marginal revenue = marginal cost MR(Q) = MC(Q) But with a monopoly, MR(Q) ≠ P.
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Managerial Economics, Lecture 15: Monopoly Marginal Revenue, MR MR = the change in revenue from selling one more unit. MR = R/ Q (= R when Q =1) For a competitive firm, MR = P. For a monopoly, MR < P.
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Managerial Economics, Lecture 15: Monopoly Figure 11.1a Average and Marginal Revenue Price, p, $ per unit qq +1 Quantity,q, Units per year p 1 (a) Competitive Firm Demand curve AB R 1 = A R 2 = A + B R = R 2 – R 1 = B = p 1
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Managerial Economics, Lecture 15: Monopoly Figure 11.1b Average and Marginal Revenue QQ +1 Quantity,Q, Units per year p 1 p 2 Price, p, $ per unit (b) Monopoly Demand curve AB C R 1 = A + C R 2 = A + B R = R 2 – R 1 = B – C = p 2 - C
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Managerial Economics, Lecture 15: Monopoly Deriving a Monopoly’s MR Curve A monopoly increases its output by Q, by lowering its price per unit by P/ Q (=slope of demand curve). So monopoly loses ( p/ Q) Q on units originally sold at higher price (area C) but earns an additional P on extra output (area B). Thus: MR = P + ( p/ Q) Q = P + a negative term < P
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Managerial Economics, Lecture 15: Monopoly Figure 11.2 Elasticity of Demand and Total, Average, and Marginal Revenue p, $ per unit Demand (p = 24– Q) Perfectly elastic Perfectly inelastic Elastic, <–1 Inelastic,–1 < < 0 =–1 p =–1 Q =1 Q =1 MR =–2 Q, Units per day 24 12 0 24 MR = 24– 2Q
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Managerial Economics, Lecture 15: Monopoly Linear MR Curve If demand curve is linear, P = a - bQ, Then MR curve is linear, MR = a - 2bQ. MR curve hits vertical (price) axis where demand curve does. Slope of MR curve = 2 slope of demand curve. MR curve hits horizontal axis at half the quantity as the demand curve.
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Managerial Economics, Lecture 15: Monopoly Choosing Price or Quantity A monopoly can set P or Q to maximize its profit, . A monopoly is constrained by market demand. –It cannot set both Q and P. –If a monopoly sets p, demand curve determines Q. –If a monopoly sets Q, demand curve determines P. Because a monopoly wants to maximize , it chooses same profit-maximizing solution whether it sets P or Q
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Managerial Economics, Lecture 15: Monopoly Profit Maximization All firms, including monopolies, use a two-step analysis: 1.The firm determines output, Q*, at which it makes highest , i.e., where –MR = MC 2. The firm decides whether to produce Q* or shut down (if P ≤ AVC)
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Managerial Economics, Lecture 15: Monopoly Figure 11.3 Maximizing Profit 12 18 24 8 6 108 144 60 601224 R, , $ 012624 AC AVC e Demand = 60 MC MR Q, Units per day Revenue,R Profit, Q, Units per day p, $ per unit (b) Profit, Revenue
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Managerial Economics, Lecture 15: Monopoly Market Power A monopolist’s ability to set the price is an example of a more general phenomenon called market power. Market power is defined as the ability of a firm to charge a price above marginal cost without losing all its business. Market power exists when a firm faces a demand curve with an elasticity < -∞.
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Managerial Economics, Lecture 15: Monopoly Causes of Market Power A firm gains market power if Consumers are willing to pay "virtually anything" for its product. There exist no close substitutes for the firm's product. Other firms can't enter the market.
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Managerial Economics, Lecture 15: Monopoly The Welfare Effects of Monopoly Define welfare as consumer surplus + producer surplus. Then welfare is lower under monopoly than under competition. A monopoly sets P > MC, causing deadweight loss (DWL).
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Managerial Economics, Lecture 15: Monopoly = 18 Figure 11.5 Deadweight Loss of Monopoly p, $ per unit Demand Q, Units per day MR MC p c = 16 B = $12 D =$60 C =$2 E = $4 MR =MC =12 A = $18 p m 24 Q m = 6Q c = 824120 e m e c
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Managerial Economics, Lecture 15: Monopoly How Do Monopolies Arise? A firm has a cost advantage over other firms (e.g. due to better technology). Government regulation prevents entry. Several firms merge into a single firm. Firms act collectively = a cartel. Firms use strategies - such as threats of violence - that discourage other firms from entering market.
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Managerial Economics, Lecture 15: Monopoly Natural Monopoly A market has a natural monopoly if one firm can produce total market output at lower cost than could several firms. If cost for Firm i to produce q i is C(q i ), the condition for a natural monopoly is C(Q) < C(q 1 ) + C(q 2 ) +... + C(q n ), where Q = q 1 + q 2 +.. + q n is sum of output of any n > 2 firms
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Managerial Economics, Lecture 15: Monopoly Natural Monopoly, 2 Equivalently, natural monopoly arises if the long-run AC curve is declining. This corresponds to a technology characterized by economies of scale.
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Managerial Economics, Lecture 15: Monopoly Figure 11.7 Natural Monopoly 15 20 40 10 601215 AC = 10 + 60/Q MC = 10 Q, Units per day AC,MC, $ per unit
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Managerial Economics, Lecture 15: Monopoly Government Actions that Reduce Market Power Antitrust laws prohibit monopolization, price fixing, and so forth. Regulations prevent monopolies from exercising all of their market power.
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Managerial Economics, Lecture 15: Monopoly Optimal Price Regulation Price regulation can eliminate DWL. Regulation is optimal if it leads to the "competitive" outcome.
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Managerial Economics, Lecture 15: Monopoly Figure 11.8 Optimal Price Regulation p, $ per unit Regulated demand Market demand Q, Units per day 2412860 MR r MC 18 24 16 D E C B A e m e o
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Managerial Economics, Lecture 15: Monopoly Government Created Monopoly Governments create monopoly through Barriers to entry (e.g., patents, licenses) Government provision (e.g. utilities, public safety, education, lotteries)
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Managerial Economics, Lecture 15: Monopoly Government Monopoly P Q AC MR D=MB P eff P even Government monopoly can raise revenue by setting price anywhere between the break-even price (P even ) and the private monopoly price (P mon ). It loses money at the efficient price (P eff ). MC P mon
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Managerial Economics, Lecture 15: Monopoly Government Monopoly Pricing If a government monopoly uses the private monopoly price it: Maximizes its revenue. Causes the same distortion as the private monopoly! Transforms monopoly profits into government revenue.
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Managerial Economics, Lecture 15: Monopoly Government Monopoly Pricing, 2 If the government sets the efficient price, it Maximizes consumer surplus in this market, But it loses money, And must raise revenue elsewhere, undoubtedly causing DWL (i.e. lost consumer surplus) in other markets.
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