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Consider the following version of the beauty contest game. There are n > 2 players. Each player 2' submits a real number xi 6 [0,100].

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Consider the following version of the beauty contest game. There are n > 2 players. Each player 2' submits a real number xi 6 [0,100]. Let :E be the mean of the numbers submitted. Suppose among these n players, there are m players whose payoffs are given by (:13.- if, where 0

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