(Answered) Question in the childrens game of rock-paper-scissors each

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Question: In the children's game of rock-paper-scissors each player reveals at the same time a choice of rock, paper, or scissors. Paper wraps rock, rock blunts scissors, and scissors cut paper. In the extended version rock-paper-scissors-fire-water, fire beats rock, paper and scissors; rock, paper and scissors beat water, and water beats fire. Write out the payoff matrix and find a mixed-strategy solution to this game.

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