Consider a Bertrand game between two firms. The demand for firm 1's product is given by q1 = 100-3p1 + 2p2. The demand for firm 2's product is given by q2 = 100 - 3p2 + 2p1. In terms of notation, pi is the price of firm 1's product and pa is the price of firm 2's product. The two firms choose their prices simultaneously. For your calculations below, assume zero costs and that prices are measured in dollars per unit. as Find the equilibrium prices. b Derive the firms' best-response functions and explain whether the prices are strategic substitutes or complements in this game.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.5P
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Consider a Bertrand game between two firms. The demand for firm 1's product is given by q1 = 100 - 3p1 + 2p2. The
demand for firm 2's product is given by q2 100- 3p2 +2p1. In terms of notation, p1 is the price of firm 1's product
and pa is the price of firm 2's product. The two firms choose their prices simultaneously. For your calculations below,
assume zero costs and that prices are measured in dollars per unit.
Find the equilibrium prices.
as
b Derive the firms' best-response functions and explain whether the prices are strategic substitutes or complements in
this game.
Transcribed Image Text:Consider a Bertrand game between two firms. The demand for firm 1's product is given by q1 = 100 - 3p1 + 2p2. The demand for firm 2's product is given by q2 100- 3p2 +2p1. In terms of notation, p1 is the price of firm 1's product and pa is the price of firm 2's product. The two firms choose their prices simultaneously. For your calculations below, assume zero costs and that prices are measured in dollars per unit. Find the equilibrium prices. as b Derive the firms' best-response functions and explain whether the prices are strategic substitutes or complements in this game.
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