a three-finger mora game is a game in which two players simultaneously show one,

Question

a three-finger mora game is a game in which two players simultaneously show one, two, or three fingers at each round. The outcome depends on a predeterminded set of rules. If the number of fingers shown by A and B differ by 1, then A loses one point. If they differ by more than 1, then the round is a draw. If they both show the same number of fingers, then A wins an amount equal to the sum of the fingers shown. Determine the optimal mixed strategy for each player, and also the expected value of the game

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Explanation / Answer

http://math.stackexchange.com/questions/90778/optimal-mixed-strategies

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