Chapter 9, Problem 15RE

To determine

To prove: In a two-person game with payoff matrix $\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]$, the only game that are not strictly determined are those for which either $a_{11}>a_{12},a_{11}>a_{21},a_{21}<a_{22},a_{12}<a_{22}$ or $a_{11}<a_{12},a_{11}<a_{21},a_{21}>a_{22},a_{12}>a_{22}$.