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Battle of the Sexes game
To understand Battle of the Sexes game, let’s consider a story as follows:
Two players (a couple) wish to go to an event together but disagree about whether to go to a football game or the variety show. Each player gets a utility of 2 if both go to his or her chosen event, a utility of 1when both go to the other's preferred event and zero if both are unable to agree and stay at home or go out individually. The pay-off matrix can be symbolized as follows:
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