Bayes-Nash Equilibrium

Definition ∞ Bayes-Nash Equilibrium describes a solution concept in game theory where players choose strategies that are optimal given their beliefs about other players’ types and strategies. This concept extends the Nash Equilibrium to games with incomplete information, where participants possess private information. In blockchain contexts, it helps analyze how rational actors behave under uncertainty about others’ private data or intentions.
Context ∞ In decentralized systems, understanding Bayes-Nash Equilibrium is crucial for designing robust protocol incentives and security mechanisms. Researchers frequently assess how various consensus mechanisms or DeFi lending protocols perform under conditions of asymmetric information. The ongoing challenge involves designing systems that remain secure and efficient even when participants hold private knowledge.