Strictly dominant strategy

A strategy is strictly dominant if, regardless of what any other players do, the strategy earns a player a strictly higher payoff than any other. Hence, a strategy is strictly dominant if it is always better than any other strategy, for any profile of other players’ actions.

If a player has a strictly dominant strategy, than he or she will always play it in equilibrium. Also, if one strategy is strictly dominant, than all others are dominated. For example, in the prisoner’s dilemma, each player has a strictly dominant strategy.