Author Question: In certain situations, a matrix game can be reduced to a smaller game by deleting certain rows ... (Read 563 times)

jon_i · **on:** Jun 18, 2018

In certain situations, a matrix game can be reduced to a smaller game by deleting certain rows and/or columns from the payoff matrix. The optimal strategy for the reduced game will then determine the optimal strategy for the original game.

In what circumstances may a row or column be deleted from the payoff matrix?
A) A row may be deleted if it is recessive to some other row and a column may be deleted if it is recessive to some other column.
B) A row may be deleted if it is dominant to some other row and a column may be deleted if it is recessive to some other column.
C) A row may be deleted if it is dominant to some other row and a column may be deleted if it is dominant to some other column.
D) A row may be deleted if it is recessive to some other row and a column may be deleted if it is dominant to some other column.

Question 2

In a matrix game with payoff matrix A, how can you find the value (x) of a strategy x to row player R?

A) (x) is the minimum of the inner product of x with each of the columns of A.
B) (x) is the maximum of the inner product of x with each of the columns of A.
C) (x) is the minimum of the inner product of x with each of the rows of A.
D) (x) is the maximum of the inner product of x with each of the rows of A.