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

Question

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

Quizplus · Accepted Answer

The maximin strategy for the row player is to choose row 2, as it guarantees a payoff of at least -1 regardless of the column player’s strategy. The minimax strategy for the column player is to choose column 1, as it minimizes the maximum payoff that the row player can achieve, which is -1. Therefore, the optimal strategy for the row player is to choose row 2 and the optimal strategy for the column player is to choose column 1.

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