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What is a dominant strategy?

Updated: 8/23/2023
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12y ago

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In game theory, a dominant strategy is one where regardless of what the other player does, you always have a larger payoff.

In probability a dominant strategy is the one with the higher likelihood of winning. For example, if you have 30% red M&Ms, 70% yellow M&Ms coming out of a tube, the dominant strategy will be to always guess yellow. (Probability matching, which most adults use is guessing 30% of the time red, and the rest yellow). An every day example would be two work routes- one that is 80% of the time traffic jammed, and the other which is only 10% of the time traffic jammed. You will always prefer the second route- despite the small probability that the first route is better.

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A strategy is dominant if, regardless of what any other players do, the strategy earns a player a larger payoff than any other. Hence, a strategy is dominant if it is always better than any other strategy, for any profile of other players' actions. Depending on whether "better" is defined with weak or strict inequalities, the strategy is termed strictly dominant or weakly dominant. If one strategy is dominant, than all others are dominated. For example, in the prisoner's dilemma, each player has a dominant strategy

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What is game theory and dominant strategy?

Game TheoryGame theory is the study of the ways in which strategic interactions among economic agents produce outcomes with respect to the preferences (or utilities) of those agents, where the outcomes in question might have been intended by none of the agents.Dominant StrategyA strategy is dominant if, regardless of what any other players do, the strategy earns a player a larger payoff than any other. Hence, a strategy is dominant if it is always better than any other strategy, for any profile of other players' actions. Depending on whether "better" is defined with weak or strict inequalities, the strategy is termed strictly dominant or weakly dominant. If one strategy is dominant, than all others are dominated. For example, in the prisoner's dilemma, each player has a dominant strategy.


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