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Suppose that 1) The players are 50% boys and 50% girls. (This is common knowledge). 2) The rules of the game are common knowledge, 3) All the players are rational, and 4) The boys know that everyone is rational, but 5) The girls know that all boys are rational, but they don't know if girls are rational. (boys think that sophomores might be a bit stupid). What can you predict about the numbers that the boys and girls will choose? (Give a range or a precise number for each)