Managerial Economics Session 4 Pricing Strategy Professor Changqi Wu Topics for Today Uniform pricing Price discrimination Durable good pricing Bundling Auction 1 Pricing Slide 2 1. Uniform pricing Profit maximizing pricing strategy: Setting the incremental margin equal to the inverse of absolute value of the price elasticity of demand A seller sets the same price for every unit of his product. Optimal pricing depends on both price elasticity of demand and marginal cost 2 Pricing Slide 3 Cost-Based Pricing Average cost plus a fixed profit margin Procedure To estimate the average cost To add a markup to the average cost Cost based pricing is widely practised. It has pros and cons. 3 Pricing Slide 4 Why Cost-Plus Pricing is Popular? It’s simple! Cost-base pricing may be a profit-maximizing one if average cost approximates marginal cost P = (1- 1/(ep+1)) MC It costs money and time to calculate the right price and to work out how price should respond to changing market conditions, particularly for small firms It is costly to change prices. Pricing Slide 5 Why Cost-Plus Pricing Can Go Wrong? Demand side factor is not explicitly taken into consideration. It is difficult to estimate true average cost because of the existence of indirect cost and joint cost Average cost pricing is influenced by accounting rules As a remedy, one can use variable markup rule instead of fixed markup Pricing Slide 6 2. Price Discrimination is ... Two or more similar goods are sold at different net prices Prices may differ due to quality and cost differences. Motives for price discrimination: earning more from existing customers selling to new customers without sacrificing the current profit margin 4 Pricing Slide 7 Capturing Consumer Surplus $/Q Pmax Between 0 and Q*, consumers will pay more than P*--consumer surplus (A). A P1 P* B PC is the price that would exist in a perfectly competitive market. P2 MC PC If price is raised above P*, the firm will lose sales and reduce profit. D Beyond Q*, price will have to fall to create a consumer surplus (B). MR Q* Pricing Quantity Slide 8 Conditions of Price Discrimination A seller must have market power A seller is able to identify customers with different demand elasticities Resale is impossible 5 Pricing Slide 9 Practicing Price Discrimination Complete price discrimination Direct segment discrimination Indirect segment discrimination 6 Pricing Slide 10 Complete Price Discrimination A seller charges each and every buyer her reservation price It can be used for tailor-made products/services Using price negotiation to find the buyer’s reservation price Pricing Slide 11 Incomplete Price Discrimination Consumers are divided into groups. $/Q P1 Price is lower to appeal to Consumers with more elastic demand. P2 D2 = AR2 AC = MC MR1 Q1 Pricing MR2 D1 = AR1 Q2 Quantity Slide 12 Direct Segment Discrimination A seller charges different prices using directly observable signals relating a consumer with her price elasticity Example: What’s in the name? 7 Pricing Slide 13 Indirect Segment Discrimination A seller use self-selection devices to distinguish customers. Two-part tariff Consumers pay a fee up front for the right to buy a product and then, pay additional fee for each unit of the product they wish to consume Peak load pricing 8 Pricing Slide 14 Methods to Prevent Resale Refuse to deal with resellers Bundling with services Issuing warranties Degrading the quality of product 9 Pricing Slide 15 3. Durable Goods Pricing Durable goods sold by a seller are their own substitutes Ways to solve the durable goods pricing problem Making goods less durable: planned obsolescence Limiting the production in the future Buy-back provisions 11 Pricing Slide 16 4. Bundling Bundling Scenario: Two different goods and many consumers Mixed Bundling Many consumers with different reservation price combinations for two goods Selling both as a bundle and separately Pure Bundling Pricing Selling only a package Slide 17 Mixed Versus Pure Bundling r2 100 C1 = MC1 C1 = 20 A With positive marginal costs, mixed bundling may be more profitable than pure bundling. 90 80 70 60 50 B C Consumer A, for example, has a reservation price for good 1 that is below marginal cost c1. With mixed bundling, consumer A is induced to buy only good 2, while consumer D is induced to buy only good 1, reducing the firm’s cost. 40 30 20 D C2 = MC2 C2 = 30 10 10 20 30 40 50 60 70 80 90 100 Pricing r1 Slide 18 The Complete Dinner Versus a la Carte: A Restaurant’s Pricing Problem Pricing to match consumer preferences for various selections Mixed bundling allows the customer to get maximum utility from a given expenditure by allowing a greater number of choices. Pricing Slide 19 5. Auctions Auction Formats Traditional Dutch English (oral) auction Sealed-bid Pricing First price Second price Slide 20 Auctions Valuation and Information How to choose an auction format Private-value auction: bidders uncertain about the other bidders reservation price Common-value auction: bidders uncertain what the value is Pricing Slide 21 Auctions Private Value Auction Second-price sealed auction: bid your reservation price English auction: Bid in small increments until you reach your reservation price The winning bids in both auctions is the reservation price of the second highest bidder Pricing Slide 22 Auctions Private Value Auction Sealed-bid auction First-price auction: lowers the bid Second-price auction: bid just above the second highest reservation price Both yield the same revenue Pricing Slide 23 Auctions Common Value Auction Winner’s Curse The winner is worse off than those who did not win Examples Bidding on a construction job Bidding on 3G mobile service licenses Question Pricing How can you avoid the winner’s curse? Slide 24 Key Takeaway Points Profit maximizing uniform pricing depends on marginal cost as well as price elasticity of demand Depending on the information available, a seller can adopt different price discrimination schemes. There are many ways to set the prices to reduce inefficiencies and raise the level of profit. Pricing Slide 25