# Essay on Competition and Unit Cost

861 Words Feb 25th, 2014 4 Pages
Seminar 4 - Industrial Economics
Week 16: beginning November 14th 2011
Price Competition and Bertrand Model

Discussion Questions

1. Suppose firm 1 and firm 2 each produce the same product and face a market demand curve described by:
Q = 5000 - 200P Firm 1 has a unit cost of production c1 equal to 6 whereas firm 2 has a higher unit cost of production c2 equal to 10. a. What is the Bertrand-Nash equilibrium outcome? b. What are the profits for each firm? c. Is this outcome efficient?

(a) At equilibrium, assuming that if both firms charge the same price, then the firms split the market evenly.

(b) The higher cost firm makes zero profit, whereas the lower cost firm’s profit is

(c) No, this
Total sales = 90 – 3(15) = 45. Firm 1 sells zero and earns zero profit. Firm 2 sells 45 units and earns (15 – 10) (45) = 225

(c) Yes, the outcome will change. The two lower cost firms will charge \$10 and share the market equally.

(d) The answer may change depending on how much premium the consumers are willing to pay for the green balls endorsed by Tiger Woods.

3. Assume that 2 firms sell differentiated products, have the same constant unit costs of 2 and face the following demand curves: q1 = 15 - p1 + 0.5p2 and q2 = 15 - p2 + 0.5p1 a. Derive the reaction function for each firm b. What is the equilibrium set of prices in this market? What profits are earned at those prices?