Suppose that two duopolists (firm A and Firm B) produce identical products. The firms face the following market demand curve P=1250-Q Where Q = Total output in the duopoly market Qa= Firm A’s output Qb = Firm B’s output P = Price in the duopoly market     Firm A and Firm B make output decisions sequentially. Firm A is the leading firm that makes the first move, and firm B is the following firm.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
Problem 2E
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Suppose that two duopolists (firm A and Firm B) produce identical products. The firms face the following market demand curve

P=1250-Q

Where Q = Total output in the duopoly market

Qa= Firm A’s output

Qb = Firm B’s output

P = Price in the duopoly market

 

 

Firm A and Firm B make output decisions sequentially. Firm A is the leading firm that makes the first move, and firm B is the following firm.

 

Firm A rationally anticipates the output reaction of Firm B, as Firm A has the prior knowledge of Firm B’s output-reaction curve, which is Qb = 600-0.5Qa

 

It is assumed that firm B always acts in the same manner.

 

Both firms have constant marginal costs (MC) of production where MCa=MCb=$50.

 

Fixed Costs are nil because expenses have already been fully amortised

 

In this duopoly market, equilibrium level of output is __________, and equilibrium level of price is ___________

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