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Bayesian Nash

Definition

A Bayesian Nash equilibrium describes a strategic outcome in games where players possess incomplete information regarding others’ preferences or capabilities. Each participant selects an optimal strategy based on their probabilistic beliefs about the types of other players and their anticipated responses. This equilibrium accounts for uncertainty by incorporating probability distributions over unknown variables, facilitating rational decision-making under conditions of imperfect knowledge. It is a fundamental concept in game theory for analyzing interactions with private information.