For almost any good or service, some consumers are willing to pay more than others. A firm that sets a single price faces a tradeoff between charging consumers who really want the good as much as they are willing to pay and charging a low enough price that the firm does not lose sales to less enthusiastic customers. As a result, the firm usually sets an intermediate price. A price-discriminating firm that varies its prices across customers avoids this trade-off. There are two reasons a firm earns a higher profit from price discrimination than from uniform pricing. First, a price-discriminating firm charges a higher price to customers who are willing to pay more than the uniform price, capturing some or all of their consumer surplus – the difference between what a good is worth to a consumer and what the consumer pays – under uniform pricing. Second, a price-discriminating firm sells to some people who are not willing to pay as much as the uniform price. For a firm to price discriminate successfully, three conditions must be met. 1. A firm must have market power, or else it cannot charge any consumer more than the competitive price. A competitive firm cannot price discriminate. 2. Consumers must differ in their sensitivity to price (demand elasticities), and a firm must be able to identify how consumers differ in this sensitivity. 3. A firm must be able to prevent or limit resales to higher-price-paying customers from customers whom the firm charges relatively low prices. There are three main types of price discrimination. 1. Perfect price discrimination Also called first-degree price discrimination The firm sells each unit at the maximum amount any customer is willing to pay for it, so prices differ across customers, and a given customer may pay more for some units than for others. 2. Quantity discrimination Second-degree price discrimination The firm charges a different price for large quantities than for small quantities, but all customers who buy a given quantity pay the same price. 3. Multimarket price discrimination Third degree price discrimination The firm charges different groups of customers different prices but charges a given customer the same price for every unit of output sold. If a firm with market power knows exactly how much each customer is willing to pay for each unit of its good and it can prevent resales, the firm charges each person his or her reservation price: the maximum amount a person would be willing to pay for a unit of output. Such an all-knowing firm perfectly price discriminates. By selling each unit of its output to the customer who values it the most at the maximum price that person is willing to pay, the perfectly price-discriminating monopoly captures all possible consumer surplus. p 6 5 MC 4 3 MR1 = 6 MR2 = 5 Demand Marginal Revenue Demand, MR3 = 4 2 1 0 1 2 q 3 4 5 6 cost, MR, p MC ps pc = MCc MRs 0 Qs Qc = Qd Demand, MRd q Many firms are unable to determine which customers have the highest reservation prices. Firms may know, however that most customers are willing to pay more for the first unit than for successive units – in other words, that the typical customer’s demand curve is downward sloping. Such firms can price discriminate by letting the price that each customer pays vary with the number of units the customer buys. Here the price varies only with quantity: All customers pay the same price for a given quantity. Single-Price Quantity Discrimination p, cost, MR p, cost, MR 90 90 70 60 50 MC 30 MC 30 Demand Demand MR 0 20 40 60 90 Q 0 30 60 90 Q Typically, a firm does not know the reservation price for each of its customers. But the firm may know which groups of customers are likely to have higher reservation prices than others. The most common method of multimarket price discrimination is to divide potential customers into two or more groups and to set a different price for each group. All units of the good sold to customers within a group are sold at a single price. As with perfect price discrimination, to engage in multimarket price discrimination, a firm must have market power, be able to identify groups with different demands, and prevent resales. Suppose that a monopoly can divide its customers into two groups – for example, consumers in each of two countries. It sells Q1 to the first group and earns revenues of R1(Q1), and it sells Q2 units to the second group and earns R2(Q2). Its cost of producing total output Q = Q1 + Q2 units is C(Q). The monopoly can maximize its profit through its choice of price or quantities to each group. R Q R Q C Q max Q Q 1, 2 1 1 2 2 1 Q2 The first-order conditions are obtained by differentiating with respect to Q1 and Q2 and setting the partial derivative equal to zero: dR1 Q1 dC Q Q 0 Q1 dQ1 dQ Q1 dR2 Q2 dC Q Q 0 Q2 dQ2 dQ Q2 These imply that MR1 MC MR2 MC United Kingdom United States p, cost, MR 35 p, cost, MR 29 CSB PA = 15 CSA PB = 18 MRA πA 1 0 DWLB DWLA DA πB MC 9.4 19.47 Q 1 0 DB MC 2.2 4.53 MRB Q In addition to setting its price or quantity, a monopoly has to make other decisions, one of the most important of which is how much to advertise. Advertising is only one way to promote a product. Some promotional tactics are subtle. For example, grocery stores place sugary breakfast cereals on lower shelves so that they are at children’s eye level. A successful promotional campaign shifts the monopoly’s demand curve by changing consumers’ tastes or informing consumers about new products. The monopoly may be able to change the tastes of some consumers by telling them that a famous athlete or performer uses the product. If the advertising convinces some consumers that they can’t live without the product, the monopoly’s demand curve may shift outward and become less elastic at the new equilibrium, at which the firm charges a higher price for its product. If the firm inform potential consumers about a new use for the product, demand at each price increases. Even of advertising succeeds in shifting demand, it may not pay for the firm to advertise. If advertising shifts demand outward or makes it less elastic, the firm’s gross profit, which ignores the cost of advertising, must rise. The firm undertakes this advertising campaign, however, only if it expects its net profit (gross profit minus the cost of advertising) to increase. cost, MR, p 19 17 p2 = 12 p1 = 11 B π1 MC = AC 5 MR1 0 Q1 = 24 Q2 = 28 MR2 D1 68 D2 76 Q