Saddle points in zero sum game

2.2k Views Asked by At

We only had one lecture about the subject and already have quite difficult questions, could someone please help me?

The matrix looks something like this:

\begin{matrix} 3 & 2 & 1 & 4 & 5 \\ 2 & 5 & 1 & 3 & 4 \\ 4 & 5 & 1 & 2 & 3 \\ 3 & 4 & 0 & 5 & 0 \\ 1 & 3 & 0 & 5 & 0 \end{matrix}

Is it true that row will always choose row 1,2 or 3 and column would choose 2 or 4 for the best pay-off? Or how can I determine a saddle point?

1

There are 1 best solutions below

0
On BEST ANSWER

The answer is partially yes. The saddles points are (1,3),(2,3) and (3,3) where the numbers indicate the rows and columns respectively. I assumed the row player is the maximizer and the column player is the minimizer.