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Amy has a utility function (x)=X1/2 Her initial wealth is 100. In a coin-tossing game, if the coin lands Head, Amy wins 156 and her

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Amy has a utility function \"(x)=X1/2 Her initial wealth is 100. In a coin-tossing game, if the coin lands Head, Amy wins 156 and her wealth becomes 256. Otherwise, if it lands Tail, Amy loses m. The coin is fair. That is, the Head and the Tail occur with equal likelihood. What is the maximal m above which Amy will refuse to play the game

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