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Perfect Bayesian Equilibrium

Definition

Perfect Bayesian Equilibrium is a solution concept in game theory applied to dynamic games with incomplete information, where players do not know all relevant details about each other. It requires that players’ strategies are optimal given their beliefs about other players’ types and past actions, and that these beliefs are updated consistently using Bayes’ rule. This concept ensures strategic rationality throughout the game, even at information sets that are never reached. It represents a refined form of Nash equilibrium for sequential games under uncertainty.