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Glossary · Game Theory

Dominant Strategy

also: strictly dominant strategy · weakly dominant strategy · dominant-strategy equilibrium · strategic dominance

Definition

A dominant strategy yields at least as high a payoff as every alternative regardless of what other players do. When each player has one, the outcome is a dominant-strategy equilibrium, the most robust prediction in game theory because it requires no beliefs about rivals. Second-price auctions are prized precisely because truthful bidding is dominant.

Dominance is the strongest solution concept available: a player does not need to know what others will do, only that one action beats every other action in every state of the world. Strict dominance means strictly better in every case; weak dominance allows ties. Few interesting business games have dominant strategies, which is why designers try to build them in. The Vickrey auction's truthful-bidding property and the strategy-proofness of deferred-acceptance matching are the celebrated examples. When a dominant strategy does exist and it is destructive, as in the prisoner's dilemma, the only remedies are to change the payoffs, repeat the game so reputations matter, or bind the players with commitment devices.

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