Chapter 9, Problem 18RE

To determine

The general formula for the best strategy for $R$ in terms of the entries in the payoff matrix $\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]$. The two lines are $y=a_{11}r+a_{21}\left(1-r\right)$ and $y=a_{12}r+a_{22}\left(1-r\right)$ which gives the value of $r$ which is the best for $R$.