Consider the following two-person game, and determine the saddle point if it exists.
A)-3
B)2
C)4

Question

Consider the following two-person game, and determine the saddle point if it exists. 
A)-3 
B)2 
C)4

Quizplus · Accepted Answer

To find the saddle point, we need to find the minimum value in each row and the maximum value in each column. The maximum of the minimums and the minimum of the maximums will give the saddle point.

For the first row, the minimum value is -4. 
For the second row, the minimum value is -3. 
For the third row, the minimum value is 4.

For the first column, the maximum value is 4. 
For the second column, the maximum value is 3. 
For the third column, the maximum value is 6.

Therefore, the maximum of the minimums is 4 and the minimum of the maximums is 4. So the saddle point exists at (row 3, column 1) and the value at this point is 4.

Since player 1 wants to maximize their score, they should choose the strategy in row 3, which will lead to a guaranteed payoff of 4. Since player 2 wants to minimize their score, they should choose the strategy in column 1, which will also lead to a guaranteed payoff of 4.

Consider the Following Two-Person Game, and Determine the Saddle Point