If it is known what percentage of the time each player plays each strategy, then the value of a two-person game can be computed
A)from only the optimal strategy row.
B)from only the optimal strategy column.
C)from any column or row.
D)except for a zero sum game.

Question

Quizplus · Accepted Answer

The value of a two-person game can be computed from any column or row, as long as it is known what percentage of the time each player plays each strategy. This is because the value of the game is equal to the minimum of the maximum values attainable for each player. The maximum value attainable for a player is the sum of the products of the probability of each of their strategies and the value of each outcome. Therefore, by examining any row or column and calculating the maximum values attainable for each player based on the probabilities given, the value of the game can be determined.

If It Is Known What Percentage of the Time Each