Chapter 4.4, Problem 8E

In Exercises 5–8, either a mixed column or mixed row strategy is given. In each case, use

$P=\left[\begin{array}{ccc}0& -1& 5\\ 2& -2& 4\\ 0& 3& 0\\ 1& 0& -5\end{array}\right]$, and find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix. Also determine the resulting expected payoff. [HinT: See Example 2.]

$R=\left[\begin{array}{cccc}0.8& 0.2& 0& 0\end{array}\right]$