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We consider the following Battle of sexes games: A couple decides a place for dinner. They can choose one of the followings: Chinese food (C),

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We consider the following Battle of sexes games: A couple decides a place for dinner. They can choose one of the followings: Chinese food (C), Western food (W) or Japanese food (1). Now the boy can choose whether to let the girl to choose her preference first (Lady first:l.| [f the boy chooses \"lady first\

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