Consider the two-person, zero-sum matrix, strictly determined game.
Find the value of the game.

Question

Consider the two-person, zero-sum matrix, strictly determined game. ​  ​
Find the value of the game.
​

Quizplus · Accepted Answer

To find the value of the game, we need to use the minimax theorem. We first look at the minimum value in each column and take the maximum of those minimums. In this case, the minimums are 1, 2, and 3. The maximum of those is 3. Therefore, the game value is 3. 
To determine the best choice, we look at the row player's options. In row 1, the maximum value the row player can receive is 3, which occurs if they choose option A. In row 2, the maximum value the row player can receive is also 3, which occurs if they choose option C. Therefore, the row player should choose either option A or C to maximize their potential gain.

Consider the Two-Person, Zero-Sum Matrix, Strictly Determined Game