Consider a Battle of the Sexes game where a husband and wife can choose to go to a football game (F) or the opera (O) with the payoffs given below: 1 0.5 Husband Suppose the husband plays F with probability p, while the wife chooses F with probability q. Draw the best-responses of each player below and find all the Nash equilibria of this game. 9 F 0 Wife FO 0,0 2,1 0,0 1,2

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GAME THEORY #2
Consider a Battle of the Sexes game where a husband and wife can choose to go
to a football game (F) or the opera (O) with the payoffs given below:
1
0.5
0
Husband
9
F
0
Suppose the husband plays F with probability p, while the wife chooses F with
probability q. Draw the best-responses of each player below and find all the Nash
equilibria of this game.
Wife
0.5
F
2,1
0,0
0
0,0
1,2
1
P
Transcribed Image Text:GAME THEORY #2 Consider a Battle of the Sexes game where a husband and wife can choose to go to a football game (F) or the opera (O) with the payoffs given below: 1 0.5 0 Husband 9 F 0 Suppose the husband plays F with probability p, while the wife chooses F with probability q. Draw the best-responses of each player below and find all the Nash equilibria of this game. Wife 0.5 F 2,1 0,0 0 0,0 1,2 1 P
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