Question D1. There is a two firm oligopoly where each firm is selling differentiated products. Firm 1 faces a demand curve q, = 10 – p1 + 0.75p2 and Firm 2 q2 = 10 – p2 + 1/3p1. Each firm has fixed marginal costs of 5. a) If firm 1 sets a price of p, what is firm 2's best response? b) Work out the Nash Equilibrium for the game detailed above. c) Does this model still suffer from the Bertrand Paradox? Explain your answer.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Question D1. There is a two firm oligopoly where each firm is selling differentiated products. Firm 1
faces a demand curve q, = 10 – p1 + 0.75p2 and Firm 2 92 = 10 – P2 + 1/3p1. Each firm has fixed
marginal costs of 5.
a) If firm 1 sets a price of p, what is firm 2's best response?
b) Work out the Nash Equilibrium for the game detailed above.
c) Does this model still suffer from the Bertrand Paradox? Explain your answer.
Transcribed Image Text:Question D1. There is a two firm oligopoly where each firm is selling differentiated products. Firm 1 faces a demand curve q, = 10 – p1 + 0.75p2 and Firm 2 92 = 10 – P2 + 1/3p1. Each firm has fixed marginal costs of 5. a) If firm 1 sets a price of p, what is firm 2's best response? b) Work out the Nash Equilibrium for the game detailed above. c) Does this model still suffer from the Bertrand Paradox? Explain your answer.
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