Firms A and B choose how much of a a homogenous good to produce at a marginal cost of 1. The inverse demand function is p = 25 – qA – qB where qa is the output choice of firm A and qB is the output choice of firm B. A firm's action is its output choice and can be any number greater than or equal to zero. Eliminate all strongly dominated actions by the two firms. In the game that remains what is the action set of each of the two firms? [Write your answer as an interval; e.g.: [0.2, 0.4] or (0.3,0.5], etc.]

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.5P
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Firms A and B choose how much of a a homogenous good to produce at a marginal cost of 1.
The inverse demand function is p = 25 – (A – 9B where q4 is the output choice of firm A and qB
is the output choice of firm B. A firm's action is its output choice and can be any number greater
than or equal to zero.
Eliminate all strongly dominated actions by the two firms. In the game that remains what is
the action set of each of the two firms?
[Write your answer as an interval; e.g.: [0.2,0.4] or (0.3,0.5], etc.]
Transcribed Image Text:Firms A and B choose how much of a a homogenous good to produce at a marginal cost of 1. The inverse demand function is p = 25 – (A – 9B where q4 is the output choice of firm A and qB is the output choice of firm B. A firm's action is its output choice and can be any number greater than or equal to zero. Eliminate all strongly dominated actions by the two firms. In the game that remains what is the action set of each of the two firms? [Write your answer as an interval; e.g.: [0.2,0.4] or (0.3,0.5], etc.]
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