I've been looking some around on the net for some info on zero-sum games, But I don't think I fully understand the principle; If we consider the (simple) matrix: $\begin{pmatrix}\pi&0 \\ 0&e \end{pmatrix}$
How can I determine the value of this zero-sum game?
Is this the possible correct answer regarding this example?
Let us just call first row R1, first column C1 and so on.
Then, the expectation for R1 is $\pi \cdot p_1$. Then, the expectation for R2 is $e \cdot p_2$.
Now I have to maximize: $min(E(R1),E(R2))$, which implies $p_1=e:p_2=\pi$.
So we see $p_1=0.464$ and $p_2=0.536$
We can do the same for C1,C2, which will give the same numbers.
Therefore I think the value of this game is $0.464 \cdot \pi=1.457= 0.536 \cdot e$
Is this ok? Thanks for checking!