Perfect Bayesian Equilibria of Two-Player Games in Resilient Multiagent Systems

We investigate how agents’ behavior in multiagent systems changes under jamming attacks, where centralized entities are able to influence the network topology structure over which agents aim to reach consensus in their state values. We focus on a game-theoretical approach with two players, a jamming attacker and a defender, with incomplete information on each other’s strength to attack/recover the network edges. We consider repeated games where the players update their beliefs over time. The effect of the players’ optimal strategies on agents’ states according to Bayesian Nash Equilibrium and Perfect Bayesian Equilibrium is examined. It is shown that an attacker with incomplete knowledge may fail to prevent consensus despite having sufficient resources, due to waste of resources.