Cheating more likely when firms are asymmetric

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There are two firms in a market that produce an identical good. Firm 1 has a marginal cost of 8 and firm 2 has a marginal cost of 42. Fixed costs are zero for both firms. Suppose inverse demand for a product is P = 130 - Q.

Suppose that firm 1 produces 44 and firm 2 produces 16. Note that this implements the monopoly price in the related problem. What are profits for each firm?

If firms set quantities simultaneously (that is, play a Cournot game), what are best response functions. What quantities do they choose? What are profits?

If firm 1 knows firm 2 will play as in (a), what is firm 1's best response? What are profits in this case? If firm 2 knows firm 1 will play as in (a), what is firm 2's best response? What are profits in this case?

Suppose the firms meet infinitely often. They can save money at interest rate r. What interest rate is necessary to justify trigger strategies? You should solve for a separate interest rate for each firm.

Comparing this problem to the one in Assignment 2, is cheating more likely when firms are asymmetric? If so, is cheating more likely by the small firm or the large firm?

Reference no: EM132461270

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