Suppose that two bears play a Hawk-Dove game as discussed in class. The payoff to each bear is -6 if both play Hawk. If both play Dove, the payoff to each bear is 3, and if one plays Hawk and the other plays Dove, the one that plays Hawk gets a payoff of 8 and the one that plays Dove gets 0. Describe the pure strategy and mixed strategy Nash equilibria in this game? What are the utilities to each bear in the mixed strategy Nash equilibria?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Suppose that two bears play a Hawk-Dove
game as discussed in class. The payoff to
each bear is -6 if both play Hawk. If both play
Dove, the payoff to each bear is 3, and if one
plays Hawk and the other plays Dove, the one
that plays Hawk gets a payoff of 8 and the
one that plays Dove gets 0.
Describe the pure strategy and mixed strategy
Nash equilibria in this game? What are the
utilities to each bear in the mixed strategy
Nash equilibria?
Transcribed Image Text:Suppose that two bears play a Hawk-Dove game as discussed in class. The payoff to each bear is -6 if both play Hawk. If both play Dove, the payoff to each bear is 3, and if one plays Hawk and the other plays Dove, the one that plays Hawk gets a payoff of 8 and the one that plays Dove gets 0. Describe the pure strategy and mixed strategy Nash equilibria in this game? What are the utilities to each bear in the mixed strategy Nash equilibria?
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