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The payoff matrix for a game is 3 3 4 5 2 2 4 4 2 . (a) Find the expected payoff to the row

The payoff matrix for a game is

3 3 4
5 2 2
4 4 2

.

(a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column C player uses the minimax pure strategy. (b) Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the time while C uses the minimax strategy 50% of the time and chooses each of the other two columns 25% of the time. (Round your answer to three decimal places.) (c) Which of these pairs of strategies is most advantageous to the row player?

(a)(b)

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