Jan-May 2021, End-Semester Examination HS 2320 Economics of Industrial Organization Problem Set, Take Home Exam Total: 10 Marks 1. Consider the model of multi-market contact: Firm 1 has cost c in Market 1, while Firm 2 has a cost ̅. The situation is reversed in Market 2. Demand is the same in both markets: consumers are willing to buy q units for a price of up to (that is, for ≤ , quantity demanded does not depend on price). It is assumed that c < < . In each period, firms set prices in both markets simultaneously. Determine the minimum value of the discount factor such that the optimal collusive solution is stable. (3 Marks) 2. Consider an industry with one upstream firm and n downstream firms that compete a la Cournot. Show that the optimal wholesale price is strictly between marginal cost and monopoly price. (4 Marks) 3. Dull Computers produces laptop computers (a high-quality good) for $300 each, or desktop computers (a low-quality good) for $200. There are 100 potential buyers each of whom will buy either one or none. Buyers are either businessmen (who value laptops at $1200 and desktops at $1000 each) or students (who value laptops at $940 and desktops at $800 each). Assume that if a buyer obtains the same consumer surplus from buying either good, the buyer will choose the higher-quality product. (a) Under pure bundling, Dull sells only laptops. What are Dull’s profits if he prices laptops so everyone buys (call this inclusive pure bundling)? (b) If Dull decides on pure bundling but prices them so only businessmen buy (call this exclusive pure bundling), what are his profits as a function of the number of businessmen (x)? (c) If Dull decides on mixed bundling (i.e., produces both laptops and desktops), he would like to target the desktops to students and the laptops to businessmen. What will he charge for desktops and what will he charge for laptops? Explain your reasoning. (3 Marks)