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players A & B play a game in which each player has 3 coins (20p,25p,50p). Each of them selects a coin without the knowledge of

players A & B play a game in which each player has 3 coins (20p,25p,50p). Each of them selects a coin without the knowledge of the other ,if the sum of the values of the coins is an even one A wins B's coin and if the sum is a odd number B wins A's coin. develop a payoff matrix with respect to a A ,and then find their optimal strategies?

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