Two-Person Zero-Sum Game which is Not Completely Mixed

Example of Two-Person Zero-Sum Game which is not Completely Mixed
Consider the two-person zero-sum game with the following payoff table:

It is seen by inspection that:


 * $A$'s optimum strategy is $\left({1/4, 3/4}\right)$
 * $B$'s optimum strategy is $\left({1/2, 1/2, 0}\right)$.

It is also noted, in passing, that $B_2$ dominates $B_3$.

Hence the result, by definition of completely mixed game.