Determine whether the statement is true or false.
-In a matrix game, the value ν(y)of a particular strategy y to player C is equal to the minimum of
the inner product of y with each of the rows of the payoff matrix A.

Question

Determine whether the statement is true or false.
-In a matrix game, the value ν(y)of a particular strategy y to player C is equal to the minimum of 
the inner product of y with each of the rows of the payoff matrix A.

Quizplus · Accepted Answer

In a matrix game, the value $v(y)$ of a particular strategy $y$ to player C (assuming player C is the column player) is actually equal to the maximum of the inner product of $y$ with each of the columns of the payoff matrix $A$, not the minimum of the inner product with each of the rows. The statement seems to confuse the perspective of the row player with that of the column player.

Determine Whether the Statement Is True or False