Chapter 10 Slide 1 Perfect Competition nReview of Perfect Competition lP = LMC = LRAC lNormal profits or zero economic profits in the long run lLarge number of buyers and sellers lHomogenous product lPerfect information lFirm is a price taker Perfect Competition Q Q P P Market Individual Firm D S Q0 P0 P0 D = MR = P q0 LRAC LMC Chapter 10 Slide 3 Monopoly nMonopoly n 1) One seller - many buyers n 2) One product (no good substitutes) n 3) Barriers to entry nThe monopolist is the supply-side of the market and has complete control over what is offered for sale. nProfits will be maximized at the level of output where marginal revenue equals marginal cost. Chapter 10 Slide 4 Monopoly nIf the firm produces a quantity at which MR > MC, the firm cannot be maximizing its profit because it could increase its output and its profit would go up. nIf the firm produces a quantity at which MR < MC, the firm cannot be maximizing its profit because it could decrease its output and its profit would go up. nThus, the only situation at which the monopolist cannot improve its profit by increasing or decreasing output is where marginal revenue equals marginal cost. That is, if Q* denotes the profit-maximizing output, then nMR(Q*) = MC(Q*) nMR ≠ P Chapter 10 Slide 5 Panel (a): Total cost TC increases as Q increases. Total revenue TR first increases and then decreases, and so does profit. The monopolist’s profit is maximized at Q = 4 million ounces. Panel (b): The monopolist’s profit-maximization condition is MR = MC, where the marginal revenue and marginal cost curves intersect. Chapter 10 Slide 6 Average and Marginal Revenue Output 0 1 2 3 $ per unit of output 1 2 3 4 5 6 7 4 5 6 7 Average Revenue (Demand) Marginal Revenue Chapter 10 Slide 7 To increase output from 2 million to 5 million ounces per year, the monopolist must decrease price from $10 to $7 per ounce. The gain in revenue due to the increased output of 3 million units (the marginal units) is equal to area III, while the revenue sacrificed on the 2 million units (the inframarginal units) it could have sold at the higher price is equal to area I. Thus, the change in total revenue equals area III – area I. Chapter 10 Slide 8 Marginal revenue (MR) n n n nMR consists of two parts: nThe first part, P, corresponds to the increase in revenue due to higher volume—the marginal units nThe second part, which is negative, since ΔP is negative), corresponds to the decrease in revenue due to the reduced price of the inframarginal units and than MR < P => the marginal revenue is less than the price the monopolist can charge to sell that quantity, for any quantity greater than 0 n when Q= 0 than MR = P Average and marginal revenue n Chapter 10 Slide 9 Panel (a): Total revenue TR= PxQ= 7x5 = $35 million per year. Panel (b): Average revenue AR=TR/Q = 35/5 = $7 per ounce. Marginal revenue MR = P+ Q(ΔP/ΔQ)= 7 + 5(-1) = $2 per ounce. The total revenue curve in panel (a) reaches its maximum when Q =6, the same quantity at which MR= 0 in panel (b). AR=P Chapter 10 Slide 10 The relationship between average revenue and marginal revenue is consistent with other average–marginal relationship. When the average of something is falling, the marginal of that thing must be below the average. Because market demand slopes downward (i.e., is falling) and the average revenue curve corresponds to the demand curve, the marginal revenue curve must be below the average revenue curve. Chapter 10 Slide 11 Marginal and Average Revenue for a Linear Demand Curve nSuppose that the equation of the market demand curve is: nP= a – b*Q nWhat are the expressions for the AR and MR curves? n Profit maximization condition n Chapter 10 Slide 12 The profit-maximizing output is 4 million ounces per year, where MC=MR. To sell that output, the monopolist will set a price of $8 per ounce (as indicated by the demand curve D). Total revenue is areas B+E+F. Total cost is area F. Profit (total revenue minus total cost) is areas B+E. Consumer surplus is area A. Chapter 10 Slide 13 Marginal and Average Revenue for a Linear Demand Curve nSuppose that the equation of the market demand curve is: nP= 12 – Q nif MC=Q What are the profit-maximizing quantity and price for the monopolist? n A monopolist does not have a supply curve n n n n n nFor the monopolist, however, price is endogenous, not exogenous Chapter 10 Slide 14 When the demand curve is D1, the monopolist’s profit-maximizing quantity is 5 and the profit-maximizing price is $15. When the demand curve is D2, the profit-maximizing quantity is also 5, but the profit-maximizing price is $20. Thus, the monopolist might sell the same quantity at different prices, depending on demand. Price elasticity of demand and profit-maximazing price n Chapter 10 Slide 15 In market A, the profit-maximizing price is PA. In market B, where demand is less price elastic at the price PA, the profit-maximizing monopoly price is PB. The difference between the profit-maximizing price and the marginal cost MC is smaller when demand is more price elastic. Price elasticity of demand and profit-maximazing price n Chapter 10 Slide 16 Marginal Revenue and Price Elasticity of Demand for a Linear Demand Curve n Chapter 10 Slide 17 Where demand is elastic, marginal revenue is positive. Where demand is unitary elastic, marginal revenue is zero (i.e., MR crosses the horizontal axis). Where demand is inelastic, marginal revenue is negative. Monopolist produces on the elastic region of the market demand curve n Chapter 10 Slide 18 At point A, on the inelastic region of the demand curve D, the monopolist is charging price PA, and selling quantity QA. If the monopolist raises price to PB and decreases quantity to QB, thereby moving to point B on the elastic region of the demand curve, total revenue increases by area I - area II, and total costs go down because the monopolist is producing less. Thus, the monopolist’s profits must go up. Chapter 10 Slide 19 Monopoly nObservations lShifts in demand usually cause a change in both price and quantity. lA monopolistic market has no supply curve. lMonopolist may supply many different quantities at the same price. lMonopolist may supply the same quantity at different prices. Chapter 10 Slide 20 Measuring Monopoly Power nMonopoly is rare. However, a market with several firms, each facing a downward sloping demand curve will produce so that price exceeds marginal cost. nIn perfect competition: P = MR = MC nMonopoly power: P > MC Chapter 10 Slide 21 Measuring Monopoly Power nLerner’s Index of Monopoly Power lL = (P - MC)/P, where the larger the value of L (between 0 and 1) the greater the degree of monopoly power. lL = (P - MC)/P = -1/Ed, where Ed is elasticity of demand for a firm nMonopoly power does not guarantee profits. Profit depends on average cost relative to price. Chapter 10 Slide 22 B A Lost Consumer Surplus Deadweight Loss Because of the higher price, consumers lose A+B and producer gains A-C. C Social Cost of Monopoly: DWL Quantity AR MR MC QC PC Pm Qm $/Q Chapter 10 Slide 23 MC Pm Qm AC AR MR If left alone, a monopolist produces Qm and charges Pm. Price Regulation $/Q Quantity If price is lowered to PC output increases to its maximum QC and there is no deadweight loss. P2 = PC Qc Any price below P4 results in the firm incurring a loss. P4 P1 Q1 Marginal revenue curve when price is regulated to be no higher that P1. For output levels above Q1 , the original average and marginal revenue curves apply. P3 Q3 Q’3 If price is lowered to P3 output decreases and a shortage exists. OUTPUT CHOICE WITH TWO PLANTS Chapter 10 Slide 24 The monopolist’s multiplant marginal cost curve MCT is the horizontal sum of the individual plant’s marginal cost curves MC1 and MC2. The monopolist’s optimal total output of 3.75 million units per year occurs at MR =MCT, where the optimal price is $6.25 per unit. Plant 1 produces 1.25 million units of the total output, and plant 2 produces 2.5 million units. Chapter 10 Slide 25 Multiplant Monopolist nSuppose a monopolist faces a demand curve given by P =120 - 3Q. The monopolist has two plants. The first has a marginal cost curve given by MC1 = 10 + 20Q1, and the second plant’s marginal cost curve is given by MC2 = 60 + 5Q2 n n(a) Find the monopolist’s optimal total quantity and price. n(b) Find the optimal division of the monopolist’s quantity between its two plants. Chapter 10 Slide 26 OUTPUT CHOICE WITH TWO MARKETS nSky Tour is the only firm allowed to provide parasailing service on an island in the Caribbean. The firm knows that there are two types of customers: those visiting the island on business and those on vacation. The firm can charge whatever price it wishes for a parasailing trip, but it is required to charge the same price P to all customers. The demand for a parasailing trip by business customers is Q1(P) = 180 - P. The demand by customers on vacation is Q2(P) = 120 - P. The firm’s marginal cost of providing a parasailing trip is MC(Q) = 30. n(a) How many trips will the firm provide, and what price will the firm charge if it wishes to maximize profits? Chapter 10 Slide 27 Chapter 10 Slide 28 MC AC AR MR $/Q Quantity Setting the price at Pr yields the largest possible output; profit is zero. Qr Pr PC QC If the price were regulate to be PC, the firm would lose money and go out of business. Pm Qm Unregulated, the monopolist would produce Qm and charge Pm. Natural Monopoly: Price Regulation Chapter 10 Slide 29 nRegulation in Practice lIt is very difficult to estimate the firm's cost and demand functions because they change with evolving market conditions lAn alternative pricing technique = rate-of-return regulation allows the firms to set a maximum price based on the expected rate or return that the firm will earn. lUsing this technique requires hearings to arrive at the respective figures. Natural Monopoly: Regulation in Practice Chapter 10 Slide 30 nSherman Act (1890) lSection 1 prohibits contracts, combinations or conspiracies in restraint of trade lExplicit agreement to restrict output or fix prices lImplicit collusion through parallel conduct lSection 2 makes it illegal to monopolize or attempt to monopolize a market and prohibits conspiracies that result in monopolization. Limiting Market Power: Antitrust Laws Chapter 10 Slide 31 n1983: Six companies and six executives indicted for price of copper tubing n1996: Archer Daniels Midland (ADM) pleaded guilty to price fixing for lysine - three sentenced to prison in 1999 n1999: Roche A.G., BASF A.G., Rhone-Poulenc and Takeda pleaded guilty to price fixing of vitamins - fined more than $1 billion. Limiting Market Power: Antitrust Laws Examples of Illegal Combinations Chapter 10 Slide 32 nClayton Act (1914) n 1) Makes it unlawful to require a buyer or lessor not to buy from a competitor n 2) Prohibits predatory pricing n 3) Prohibits mergers and acquisitions if they “substantially lessen competition” or “tend to create a monopoly” nRobinson-Patman Act (1936): Prohibits price discrimination if it is likely to injure the competition n Limiting Market Power: Antitrust Laws Chapter 10 Slide 33 nFederal Trade Commission Act (1914, amended 1938, 1973, 1975) n 1) Created the Federal Trade Commission (FTC) n 2) Prohibitions against deceptive advertising, labeling, agreements with retailer to exclude competing brands Limiting Market Power: Antitrust Laws Chapter 10 Slide 34 nAntitrust laws are enforced three ways: 1)Antitrust Division of the DOJ: a part of the executive branch (the administration can influence enforcement). Fines levied on businesses; fines and imprisonment levied on individuals. 2)FTC: enforces through voluntary understanding or formal commission order. 3)Private Proceedings: Lawsuits for damages. Plaintiff can receive treble damages. Limiting Market Power: Antitrust Laws