Solution
= Solution
Normalize each optimal vector by its sum $1/4$. Player I's row strategy and Player II's column strategy are respectively
$$
\boxed{p=(2/3,1/3),\qquad q=(1/3,0,2/3),\qquad v=4.}
$$
As a direct check $Aq=(4,4)^\mathsf T$ and $p^\mathsf TA=(4,5,4)$, so Player II guarantees a loss of at most four and Player I guarantees a gain of at least four.