Determine the maximin and minimax strategies for the two-person, zero-sum matrix game.
A) Row player: row 2; Column player: column 1 or column 2 or column 3
B) Row player: row 2; Column player: column 1
C) Row player: row 1 or row 3 or row 4; Column player: column 2 or column 3
D) Row player: row 2; Column player: column 2 or column 3
E) Row player: row 1 or row 3 or row 4; Column player: column 1

Question

Determine the maximin and minimax strategies for the two-person, zero-sum matrix game. ​  ​
A) Row player: row 2; Column player: column 1 or column 2 or column 3 
B) Row player: row 2; Column player: column 1 
C) Row player: row 1 or row 3 or row 4; Column player: column 2 or column 3 
D) Row player: row 2; Column player: column 2 or column 3 
E) Row player: row 1 or row 3 or row 4; Column player: column 1

Quizplus · Accepted Answer

The maximin and minimax strategies are the same in a two-person, zero-sum matrix game. The maximin strategy for the row player is to choose the row with the highest minimum payoff, which is row 2 with a minimum payoff of 4. The minimax strategy for the column player is to choose the column with the lowest maximum payoff, which is either column 2 or 3 with a maximum payoff of 2. Therefore, the best choice for the column player is to choose either column 2 or 3, and the best choice for the row player is to choose row 2. This is option D.

Determine the Maximin and Minimax Strategies for the Two-Person, Zero-Sum