In the following two-person zero-sum game, the payoffs represent gains to the row player I and losses to column player II. The minimax strategy of player II is:
A) to always play the first column.
B) to always play the second column.
C) to always play the third column.
D) to play two or more of the columns.

Question

In the following two-person zero-sum game, the payoffs represent gains to the row player I and losses to column player II.  The minimax strategy of player II is:
A) to always play the first column. 
B) to always play the second column. 
C) to always play the third column. 
D) to play two or more of the columns.

Quizplus · Accepted Answer

To find the minimax strategy of player II, we need to maximize their minimum possible payoff. If they choose the first column, their worst-case scenario is -7. If they choose the second column, their worst-case scenario is -6. If they choose the third column, their worst-case scenario is -5. Therefore, player II should always play the second column to ensure the highest minimum payoff.

In the Following Two-Person Zero-Sum Game, the Payoffs Represent Gains