Question: Please help! Consider the game having the following payoff table: (a) Formulate the problem of finding an optimal mixed strategy for player 1 according to

Please help!

Consider the game having the following payoff table:

Please help! Consider the game having the

(a) Formulate the problem of finding an optimal mixed strategy for player 1 according to the max-min criterion as a linear programming problem. What is the optimal strategy for player 1, and what is the optimal payoff?

(b) Formulate the problem of finding an optimal mixed strategy for player 2 according to the min-max criterion as a linear programming problem. What is the optimal strategy for player 2, and what is the optimal payoff? Remark: You can use Excel to solve the two LPs, or other methods to solve them. Explain very briefly how you solve them (one or two sentences).

Player 2 Strategy Ti T2 T3 Si | 4 | 2 -3 Player 1 S2 -1 0 3

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