Find all saddle points for the matrix game.
-$$\left[ \begin{array} { r r r r }
0 & 3 & - 1 & 4 \
0 & - 4 & - 1 & 5 \
2 & 8 & 2 & 5
\end{array} \right]$$
A)$\text { Entry a } _{31} $
B) $\text { Entry } a_{13} \text { and entry a }_{ 31}$
C) $\text { Entry } a_{31} \text { and entry a }_{ 33}$
D) No saddle points

Question

Find all saddle points for the matrix game.
-$$\left[ \begin{array} { r r r r } 
0 & 3 & - 1 & 4 \
0 & - 4 & - 1 & 5 \
2 & 8 & 2 & 5
\end{array} \right]$$
A)$\text { Entry a } _{31} $
B) $\text { Entry } a_{13} \text { and entry a }_{ 31}$
C) $\text { Entry } a_{31} \text { and entry a }_{ 33}$
D) No saddle points

Quizplus · Accepted Answer

The saddle points are the entries that are both the minimum of their row and the maximum of their column. In this case, the entry a31 is the minimum of its row and the maximum of its column, and the entry a33 is the maximum of its row and the minimum of its column.

Find All Saddle Points for the Matrix Game [03−140−4−152825]\left[ \begin{array} { r r r r } 0 & 3 & - 1 & 4 \\0 & - 4 & - 1 & 5 \\2 & 8 & 2 & 5\end{array} \right]​002​3−48​−1−12​455​​

Find All Saddle Points for the Matrix Game $\left[ \begin{array} { r r r r } 0 & 3 & - 1 & 4 \\0 & - 4 & - 1 & 5 \\2 & 8 & 2 & 5\end{array} \right]$