Definition:Dominating Strategy

Definition
Let $G$ be a game.

Let player $P$ have pure strategies $A_1$ and $A_2$ in $G$.

Then $A_1$ dominates $A_2$ :
 * for any strategy of an opposing player, $A_1$ is at least as good as $A_2$
 * for at least one strategy of an opposing player, $A_1$ is strictly better than $A_2$.

Also known as
The specific language used can vary according to usage:


 * $A_1$ is a dominating strategy over $A_2$


 * $A_1$ is dominant over $A_2$


 * $A_2$ is dominated by $A_1$

and so on.