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3. Consider a pBeauty Contest with the following rules: 0 Players pick a (real) number from 0 to 100. o The average of the numbers

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3. Consider a pBeauty Contest with the following rules: 0 Players pick a (real) number from 0 to 100. o The average of the numbers is called X , and let Y = pX. o The player whose number is closest to Y wins. Suppose that the population of players is large, and we are restricting attention to pure strategies . Assume that 0

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