![]() A complete contingent plan is a full specification of a player's behavior, describing each action a player would take at every possible decision point. ![]() Strategy: A complete contingent plan for a player in the game. Strategy B is weakly dominated if some other strategy exists that weakly dominates B.Strategy B is strictly dominated if some other strategy exists that strictly dominates B.Strategy B is weakly dominant if strategy B weakly dominates every other possible strategy.Strategy B is strictly dominant if strategy B strictly dominates every other possible strategy.This notion can be generalized beyond the comparison of two strategies. B is strictly dominated by A: choosing B always gives a worse outcome than choosing A, no matter what the other player(s) do.B is weakly dominated by A: there is at least one set of opponents' actions for which B gives a worse outcome than A, while all other sets of opponents' actions give A the same payoff as B.For example, B is "throw rock" while A is "throw scissors" in Rock, Paper, Scissors. Choosing A is better in some cases, while choosing B is better in other cases, depending on exactly how the opponent chooses to play. B and A are intransitive: B and A are not equivalent, and B neither dominates, nor is dominated by, A.Therefore, we can say "B dominates A" as synonymous of "B weakly dominates A".) (Notice that if B strictly dominates A, then B weakly dominates A. ![]() B weakly dominates A: choosing B always gives at least as good an outcome as choosing A, no matter what the other players do, and there is at least one set of opponents' action for which B gives a better outcome than A.B strictly dominates A: choosing B always gives a better outcome than choosing A, no matter what the other players do.B is equivalent to A: choosing B always gives the same outcome as choosing A, no matter what the other players do.When a player tries to choose the "best" strategy among a multitude of options, that player may compare two strategies A and B to see which one is better. The opposite, intransitivity, occurs in games where one strategy may be better or worse than another strategy for one player, depending on how the player's opponents may play. Many simple games can be solved using dominance. In game theory, strategic dominance (commonly called simply dominance) occurs when one strategy is better than another strategy for one player, no matter how that player's opponents may play. ( January 2016) ( Learn how and when to remove this template message) Please help to improve this article by introducing more precise citations. This article includes a list of general references, but it lacks sufficient corresponding inline citations.
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