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

In the given game matrix, there is no single cell with the lowest value in its row and highest value in its column or vice versa. This means that there is no saddlepoint in the game, and none of the players has a dominant strategy. Therefore, the value of the game cannot be determined.

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