Glossary of game theory terms.

Weakly Dominant Strategy

A strategy is weakly dominant if, regardless of what any other players do, the strategy earns a player a payoff at least as high as any other strategy, and, the strategy earns a strictly higher payoff for some profile of other players' strategies. Hence, a strategy is weakly dominant if it is always at least as good as any other strategy, for any profile of other players' actions, and is strictly better for some profile of others' strategies. If a player has a weakly dominant strategy, than all others are weakly dominated. If a strategy is always strictly better than all others for all profiles of other players' strategies, than it is strictly dominant.

updated: 22 August 2006