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

Question

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

Quizplus · Accepted Answer

The maximin strategy for the row player is to choose the row with the highest minimum payoff. 
The minimum payoffs for the rows are:
- Row 1: 0
- Row 2: -3

Therefore, the maximin strategy for the row player is to choose row 1.

The minimax strategy for the column player is to choose the column with the lowest maximum payoff. 
The maximum payoffs for the columns are:
- Column 1: 4
- Column 2: 1
- Column 3: 0

Therefore, the minimax strategy for the column player is to choose column 1 or column 3 since they both have a maximum payoff of 4 (which is the lowest among the columns).

So the best choice(s) for the row player is to choose Row 1, and for the column player, it's to choose Column 1 or Column 3.

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