Strategy A* _{h}* is dominated by strategy
A

Strategy B* _{r}* is dominated by strategy
B

A strategy can be dominated also by a convex combination of some strategies, i. e. by a mixed strategy.

Strategy A* _{h}* is dominated by a mixed
strategy

Strategy B* _{r}* is dominated by a mixed
strategy

**Example**

In a game with the payoff matrix

first strategy of player B is dominated by his mixed strategy (0,1/2,1/2), since (1,3) ³ 0.5*(-1,5) + 0.5*(3,-3). The optimal solution of the given game is determined only by second and third strategy of player B as the following picture shows.