Two firms produce differentiated products. Firm 1 faces the demand curve Q1  = 75   -P1  + .5P2. (Note that a lower competing price robs the firm of some, but not all, sales. Thus, price competition is not as extreme as in the Bertrand model.) Firm 2 faces the analogous demand curve Q2  = 75   -P2   +.5P1. For each firm, AC   =MC  = 30. suppose that firm 2 acts as a price leader and can commit in advance to setting its price once and for all. In turn, firm 1 will react to firm 2’s price, according to the profit-maximizing response found earlier, P1 =  52.5  + .25P2. In committing to a price, firm 2 is contemplating either a price increase to P2  = $73 or a price cut to P2   =$67. Which price constitutes firm 2’s optimal commitment strategy? Justify your answer and explain why it makes sense.

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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Two firms produce differentiated products. Firm 1 faces the demand

curve Q1  = 75   -P1  + .5P2. (Note that a lower competing price robs the

firm of some, but not all, sales. Thus, price competition is not as extreme

as in the Bertrand model.) Firm 2 faces the analogous demand curve Q2  =

75   -P2   +.5P1. For each firm, AC   =MC  = 30.

suppose that firm 2 acts as a price leader and can commit

in advance to setting its price once and for all. In turn, firm 1 will react

to firm 2’s price, according to the profit-maximizing response found

earlier, P1 =  52.5  + .25P2. In committing to a price, firm 2 is contemplating

either a price increase to P2  = $73 or a price cut to P2   =$67. Which

price constitutes firm 2’s optimal commitment strategy? Justify your

answer and explain why it makes sense.

 

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