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2.13. Recall the static Bertrand duopoly model (with homoge- neous products) from Problem 1.7: the firms name prices si...
consider the standard Bertrand model of price competition. There are two firms that produce a homogenous good with the same constant marginal cost of c. a) Suppose that the rule for splitting up cunsumers when the prices are equal assigns all consumers to firm1 when both firms charge the same price. show that (p1,p2) =(c,c) is a Nash equilibrium and that no other pair of prices is a Nash equilibrium. b) Now, we assume that the Bertrand game in part...
usion (24 points) Two firms are playing a repeated Bertrand game infinitely, each with the same marginal cost 100. The market demand function is P-400-Q. The firm who charges the lower price wins the whole market. When both firms charge the same price, each gets 1/2 of the total market. I. Coll A. (6 points) What price will they choose in the stage (only one period) Nash equilibrium? What price will they choose if in the stage game (only one...