Mixed Nash Equilibrium Player 2 A 5,1 1,3 В 2,6 4,2 PLAYER 1 a) calculate the probability In equilibrium Player 1 chooses A with probability a= [?] and player 2 chooses M with probability B = [ ?] b) calculate payoff for mixed strategy nash equilibrium Player 1 gets payoff of [?] Player 2 gets payoff of [?] c) Suppose the payoff for (B,C) would change to (0,8) Would probability a increase,decrease, stay the same? Would probability B increase,decrease, stay the same?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Mixed Nash Equilibrium
Player 2
C
D
A
5,1
1,3
B
2,6
4,2
PLAYER 1
a) calculate the probability
In equilibrium Player 1 chooses A with probability a= [?]
and player 2 chooses M with probability B = [ ?]
b) calculate payoff for mixed strategy nash equilibrium
Player 1 gets payoff of [?]
Player 2 gets payoff of [?]
c) Suppose the payoff for (B,C) would change to (0,8)
Would probability a increase,decrease, stay the same?
Would probability B increase,decrease, stay the same?
Transcribed Image Text:Mixed Nash Equilibrium Player 2 C D A 5,1 1,3 B 2,6 4,2 PLAYER 1 a) calculate the probability In equilibrium Player 1 chooses A with probability a= [?] and player 2 chooses M with probability B = [ ?] b) calculate payoff for mixed strategy nash equilibrium Player 1 gets payoff of [?] Player 2 gets payoff of [?] c) Suppose the payoff for (B,C) would change to (0,8) Would probability a increase,decrease, stay the same? Would probability B increase,decrease, stay the same?
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