The "Battle of Sexes" is a famous game. The story is that a couple tries to decide what to do on a Friday evening. The girl prefers to go to an Opera and the guy prefers to go to the football, but they will be very sad if they go alone to an event. The payoff is the following. Find all the equilibrium (including mixed ones) in this simultaneous game.
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Player 2 (Guy)
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Opera
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Football
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Player 1 (Girl)
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Opera
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2, 1
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0, 0
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Football
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0, 0
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1, 2
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