In the following game of batter-versus-pitcher in baseball, the batter's batting averages are shown in the game matrix. Which of the following statements is true?
A) The game has no saddlepoint.
B) The game has a saddlepoint; the value of the game is .200.
C) The game has a saddlepoint; the value of the game is .300.
D) The game has a saddlepoint; the value of the game is .400.

Question

In the following game of batter-versus-pitcher in baseball, the batter's batting averages are shown in the game matrix.  Which of the following statements is true?
A) The game has no saddlepoint. 
B) The game has a saddlepoint; the value of the game is .200. 
C) The game has a saddlepoint; the value of the game is .300. 
D) The game has a saddlepoint; the value of the game is .400.

Quizplus · Accepted Answer

A saddlepoint exists when there is a cell in the matrix that is both a minimum in its row and a maximum in its column. However, in this game matrix, there is no such cell, meaning that there is no saddlepoint. Therefore, option A is the correct choice.

In the Following Game of Batter-Versus-Pitcher in Baseball, the Batter's