There are two firms selling differentiated products.  Firm A faces the following demand for his product:  QA=20-1/2PA+1/4PB Firm B faces the following demand: QB=220-1/2PB+1/4PA PA represents the price set by firm A. PB represents the price set by firm B. Assume that the marginal cost is zero both for firm A and firm B. What are the equilibrium prices of a simultaneous price competition? What would the equilibrium prices be if A is the leader and B is the follower?

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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There are two firms selling differentiated products. 

Firm A faces the following demand for his product: 

QA=20-1/2PA+1/4PB

Firm B faces the following demand:

QB=220-1/2PB+1/4PA

PA represents the price set by firm A. PB represents the price set by firm B.
Assume that the marginal cost is zero both for firm A and firm B.
What are the equilibrium prices of a simultaneous price competition?
What would the equilibrium prices be if A is the leader and B is the follower? 

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