Question: 7. Consider a game with the following payoff table for player 1: Player 2 Strategy 1 2 3 1 Player 1 2 3 523

7. Consider a game with the following payoff table for player 1:

7. Consider a game with the following payoff table for player 1: Player 2 Strategy 1 2 3 1 Player 1 2 3 523 5 0 2 4 3 2 330 0 4 124 (a) Follow the approach described in Sec 15.5 to formulate the problem of finding optimal mixed strategies according to the minimax criterion as a linear programming problem. Please give the linear programming problem for each player. (b) Use Excel Solver (the simplex method) to find the optimal mixed strategies for each player. Also find the value of the game. Is this a fair game? If not, is this game in favor of player 1 or 2?

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