Consider a game with the following payoff table for player 1: Strategy Player 1 1 2 3 1 5 23 2 2 0 042 Player 2 3 330 4 1 2 4 (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.

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7. Consider a game with the following payoff table for player 1:
Strategy
1
Player 1 2
3
1
523
2
042
Player 2
3
3
ww
3
124
2
(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?
Transcribed Image Text:7. Consider a game with the following payoff table for player 1: Strategy 1 Player 1 2 3 1 523 2 042 Player 2 3 3 ww 3 124 2 (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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