5. Duopolist firms 1 and 2 compete on price with some market differentiation. Demand for firm ie{1, 2} is q, = 2 – 2p, + P, Neither firm has costs. a. Find the best response functions for each firm in the static game. b. Find the unique Nash equilibrium prices in the static game. c. Are prices strategic complements or strategic substitutes? Briefly explain. d. Does Firm 1 want Firm 2 to increase or decrease p,?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.8P
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5. Duopolist firms 1 and 2 compete on price with some market differentiation. Demand for firm
ie{1, 2} is q, = 2 – 2p, + p, Neither firm has costs.
a. Find the best response functions for each firm in the static game.
b. Find the unique Nash equilibrium prices in the static game.
c. Are prices strategic complements or strategic substitutes? Briefly explain.
d. Does Firm 1 want Firm 2 to increase or decrease p,?
Transcribed Image Text:5. Duopolist firms 1 and 2 compete on price with some market differentiation. Demand for firm ie{1, 2} is q, = 2 – 2p, + p, Neither firm has costs. a. Find the best response functions for each firm in the static game. b. Find the unique Nash equilibrium prices in the static game. c. Are prices strategic complements or strategic substitutes? Briefly explain. d. Does Firm 1 want Firm 2 to increase or decrease p,?
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