Economic Analysis for Business Session XII: Monopoly Instructor Sandeep Basnyat 9841892281 Sandeep_basnyat@yahoo.com Introduction A monopoly is a firm that is the sole seller of a product without close substitutes. The key difference: market power: the ability to influence the market price of the product it sells. A competitive firm has no market power. Why Monopolies Arise The main cause of monopolies is barriers to entry – other firms cannot enter the market. Three sources of barriers to entry: 1. A single firm owns a key resource. E.g., DeBeers owns most of the world’s diamond mines 2. The govt gives a single firm the exclusive right to produce the good. E.g., patents, copyright laws Why Monopolies Arise 3. Natural monopoly: a single firm can produce the entire market Q at lower ATC than could several firms. Cost Electricity Economies of scale due to huge FC $80 $50 ATC 500 1000 Q Monopoly: Demand Curves A monopolist is the only seller, so it faces the market demand curve. To sell a larger Q, the firm must reduce P. P A monopolist’s demand curve Thus, MR ≠ P. D Q A monopoly’s revenue Moonbucks is the only seller of cappuccinos in town. The table shows the market demand for cappuccinos. Fill in the missing spaces of the table. What is the relation between P and AR? Between P and MR? Q P 0 $4.50 1 4.00 2 3.50 3 3.00 4 2.50 5 2.00 6 1.50 TR AR MR n.a. 6 Answers Here, P = AR, same as for a competitive firm. Here, MR < P, whereas MR = P for a competitive firm. Q P TR AR 0 $4.50 $0 n.a. 1 4.00 4 $4.00 2 3.50 7 3.50 3 3.00 9 3.00 4 2.50 10 2.50 5 2.00 10 2.00 6 1.50 9 1.50 MR $4 3 2 1 0 –1 7 Moonbuck’s D and MR Curves P, MR $5 4 3 2 1 0 -1 -2 -3 0 Demand curve (P) MR 1 2 3 4 5 6 7 Q Profit-Maximization 1. The profitmaximizing Q is where MR = MC. Costs and Revenue MC P 2. Find P from the demand curve at this Q. D MR Q Quantity Profit-maximizing output Numerical Problems and Solutions 1) Suppose the Total Cost for the Monopoly(TC) = 500 + 20Q2 Demand Equation (P) = 400 – 20Q Total Revenue (TR) = 400Q – 20Q2 What is the profit maximizing price and quantity? Numerical Problems and Solutions 1) Suppose the Total Cost for the Monopoly(TC) = 500 + 20Q2 Demand Equation (P) = 400 – 20Q Total Revenue (TR) = 400Q – 20Q2 What is the profit maximizing price and quantity? Solution: MR = dTR / dQ = 400 -40Q MC = dTC / dQ = 40Q Profit Maximizing price is achieved when MR =MC Or, 400 – 40Q = 40Q Therefore, Q =5 (Profit maximizing output) Putting the value of Q in demand equation Profit Maximizing Price P = 300. Case Study: For your Reference Patents on new drugs give a temporary monopoly to the seller. When the patent expires, the market becomes competitive, generics appear. Follow the case study from Mankiw Book for your reference. The Welfare Cost of Monopoly Competitive eq’m: Price quantity = QE P = MC P total surplus is P = MC maximized MC Monopoly eq’m: quantity = QM P > MC deadweight loss Deadweight MC loss D MR Q M QE Quantity Price Discrimination Price discrimination is the business practice of selling the same good at different prices to different buyers. Some examples: Movie tickets Airline prices Discounts Need-based financial aid Monopoly’s Pricing Decision Single Price (without price discrimination) With price discrimination Monopoly without price discrimination (single price) Single Price Discrimination Here, the monopolist charges the same price (PM) to all buyers in all markets. Price Monopoly profit Consumer surplus Deadweight loss PM MC D MR A deadweight loss results. QM Quantity Price Discriminating Monopoly Here, the monopolist produces the competitive Price quantity, but charges each buyer his or her WTP in different markets. This is also called perfect price Discrimination. The monopolist captures all CS as profit. But there’s no DWL. Monopoly profit MC D MR Quantity Q Public Policy Toward Monopolies Increasing competition with antitrust laws ◦ US: Sherman Antitrust Act (1890), Clayton Act (1914) ◦ Nepal: Fair Competition Bill (2004) Regulation ◦ Govt agencies setting price Public ownership Doing nothing Market Structure Problems 2) Consider a monopolist sells in two markets and has constant marginal cost equal to $2 per unit. The demand and marginal revenue equations for two markets are: PI = 14 -2QI : MRI = 14 -4QI PII= 10 –QII : MRII = 10 -2QII a) Using third degree discrimination, find profit maximizing prices and quantities, combined profit from both market. b) What is the profit maximizing price and quantity and total profit without price discrimination. Note: 1st degree: Charging maximum price for each unit sold. 2nd degree: Different prices depending upon quantities of goods bought by consumers. 3rd Degree: Separating consumer market and charge separate prices. Market Structure Problems Solution: a) Marginal Cost =$2 per unit. The demand and marginal revenue equations for two markets are: PI = 14 -2QI : MRI = 14 -4QI PII= 10 –QII : MRII = 10 -2QII Profit maximizing is possible when MRI = MRII =MC So, for Market I:14 -4QI = 2. Therefore, QI = 3 For Market II: 10 –2QII = 2. Therefore, QII = 4 Substituting values of QI and QII in PI and PII, we have PI = 8 and PII = 6 Profit in Market1 = TR –TC = (PI x QI) – (MC x QI) = 24 – 6 = $18 Profit in MarketI1 = TR –TC = (PII x QII) – (MC x QII) = 24 – 8 = $16 So, combined profit = $34. Market Structure Problems Solution: b) Finding demand functions in terms of quantities: QI = 7 – P/2 QII = 10 – P Total demand: Q = (7 – P/2) + (10 –P) = 17 – 3P/2 ……….(i) Total demand in terms of P = 34/3 – 2Q/3 ………………..(ii) Therefore, TR = P x Q = (34/3 – 2Q/3)Q = 34Q/3 – 2Q2/3 MR = 34/3 – 4Q/3 Now, MR = MC 34/3 – 4Q/3 = 2 Therefore, Q = 7 Substituting the value of Q in Eqn. (ii), P = $6.67 So, Total Profit = TR – TC = (PxQ) – (MCxQ) = 46.69 – 14 = $32.69 Thank you