Suppose there are two firms that compete in prices, say firms 1 and 2, but that...
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Suppose there are two firms that compete in prices, say firms 1 and 2, but that the firms produce differentiated products. Suppose that the demand for firm 1 is q1(p1.p2)-10-2p1 +p2 and the demand for firm 2 is q2(p2.p1)-10-2p2 +p1. Also, assume that firm 1 has a constant marginal cost of c1=2 and firm 2 has a constant marginal cost of c2 =3. a) What are the reaction functions for both firms? b) Solve for the Bertrand equilibrium in prices. c) Now, suppose firms 1 and 2 agree to merge. However, under the merger, only firm 1 will operate and firms 1 and 2 will split the resulting profits equally. Will both firms agree to such a plan or do they prefer the Bertrand outcome? Suppose there are two firms that compete in prices, say firms 1 and 2, but that the firms produce differentiated products. Suppose that the demand for firm 1 is q1(p1.p2)-10-2p1 +p2 and the demand for firm 2 is q2(p2.p1)-10-2p2 +p1. Also, assume that firm 1 has a constant marginal cost of c1=2 and firm 2 has a constant marginal cost of c2 =3. a) What are the reaction functions for both firms? b) Solve for the Bertrand equilibrium in prices. c) Now, suppose firms 1 and 2 agree to merge. However, under the merger, only firm 1 will operate and firms 1 and 2 will split the resulting profits equally. Will both firms agree to such a plan or do they prefer the Bertrand outcome?
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a The reaction functions for both firms are Firm 1 p1 10 2p2 q12p2 q1 Firm 2 p2 10 2p1 q22p1 q2 b Th... View the full answer
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