Solved: Consider a game between two players where each player can make up to n different

Chapter 10, Problem T1

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Consider a game between two players where each player can make up to n different moves . If the ith move of player R and the jth move of player C are such that is even, then C pays R $1. If is odd, then R pays C $1. Assume that both players have the same strategythat is, and , where . Use a computer to show that Using these results as a guide, prove in general that the expected payoff to player R is which shows that in the long run, player R will not lose in this game.

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