Question: . Consider the following zero-sum game: Player 2 A B I -2 2 Player 1 B 2 -1 0 C 0 -2 (a) If P,

. Consider the following zero-sum game: Player 2 A B I -2 2 Player 1 B 2 -1 0 C 0 -2 (a) If P, knows that is using the strategy A/2+C/2, what strategy should P, use? What will P expected payoff be in this case? (b) Formulate a linear program to find P, optimal mixed strategy according to the minimax criterion. (c) Formulate a linear program to find P, optimal mix strategy according to the minimax cri- terion (d) Solve the linear program form part (b). What is P optimal mixed strategy? (e) Solve the linear program from part(c). What is P, optimal mixed strategy? (f) Suppose that P and both use their optimal strategy. What is P and P, expected payoff? . Consider the following zero-sum game: Player 2 A B I -2 2 Player 1 B 2 -1 0 C 0 -2 (a) If P, knows that is using the strategy A/2+C/2, what strategy should P, use? What will P expected payoff be in this case? (b) Formulate a linear program to find P, optimal mixed strategy according to the minimax criterion. (c) Formulate a linear program to find P, optimal mix strategy according to the minimax cri- terion (d) Solve the linear program form part (b). What is P optimal mixed strategy? (e) Solve the linear program from part(c). What is P, optimal mixed strategy? (f) Suppose that P and both use their optimal strategy. What is P and P, expected payoff

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