"If a normal form game has no pure strategy Nash equilibrium, then in any Nash equilibrium, at least one player is indifferent between both of her pure strategies given the equilibrium strategy of her opponent." Consider a 2 player game in which every player has two pure strategies. Is the following statement true or false? A. True B. False

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
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Consider a 2 player game in which every player has two pure strategies. Is the following statement true or false?
"If a normal form game has no pure strategy Nash equilibrium, then in any Nash equilibrium, at least one player is
indifferent between both of her pure strategies given the equilibrium strategy of her opponent."
A. True
В.
False
Transcribed Image Text:Consider a 2 player game in which every player has two pure strategies. Is the following statement true or false? "If a normal form game has no pure strategy Nash equilibrium, then in any Nash equilibrium, at least one player is indifferent between both of her pure strategies given the equilibrium strategy of her opponent." A. True В. False
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