How can I determine the nash equilibria in the following matrix? $\begin{pmatrix}-\pi,-\pi & e,0 \\ 0,e & -\pi,-\pi \end{pmatrix}$
I know the definition of a Nash equilibrium, but because of the $-\pi$, it will always be the smallest value, so there wouldn't exist a Nash equilibrium....
I think I can still try something with minimax theorem but I dont know how to use it here. I also never seen the double value per matrixposition before... How do I interpret this? And how can I find the nash equilibria here?
Can someone help me here? Thanks in advance!
Edit: So my question is: how to find the nash equilbrium with mixed strategies.. (0,e) and (e,0) is obvious but I dont know how to find the mixed strategy nash equilibrium, thats why I mentioned minimax sorry for the unclear question.