In the following two-person zero-sum game, the payoffs represent gains to the row player I and losses to column player II.
$\left[ \begin{array} { c c c }
2 & 3 & 4 \
5 & 6 & 7 \
8 & 9 & 10
\end{array} \right]$
Which of the following statements is true?
A) The game has no saddlepoint.
B) There is a saddlepoint at row 1, column 1.
C) There is a saddlepoint at row 3, column 1.
D) There is a saddlepoint at row 3, column 3.

Question

In the following two-person zero-sum game, the payoffs represent gains to the row player I and losses to column player II. 
$\left[ \begin{array} { c c c } 
2 & 3 & 4 \
5 & 6 & 7 \
8 & 9 & 10
\end{array} \right]$ 
Which of the following statements is true?
A) The game has no saddlepoint.
B) There is a saddlepoint at row 1, column 1.
C) There is a saddlepoint at row 3, column 1.
D) There is a saddlepoint at row 3, column 3.

Quizplus · Accepted Answer

The saddlepoint is at row 3, column 1 because it is the smallest element in its row and the largest element in its column.

In the Following Two-Person Zero-Sum Game, the Payoffs Represent Gains [2345678910]\left[ \begin{array} { c c c } 2 & 3 & 4 \\5 & 6 & 7 \\8 & 9 & 10\end{array} \right]​258​369​4710​​

In the Following Two-Person Zero-Sum Game, the Payoffs Represent Gains $\left[ \begin{array} { c c c } 2 & 3 & 4 \\5 & 6 & 7 \\8 & 9 & 10\end{array} \right]$