Computation of Berge-Zhukovskii equilibrium in discrete time dynamic games

Abstract

Berge-Zhukovskii equilibrium is an alternate solution concept to Nash equilibrium that induces cooperation in non-cooperative games. A solution of a game is a Berge-Zhukovskii equilibrium if the payoff of each player cannot increase regardless of what the other players do. The Berge-Zhukovskii equilibrium has been found to be us useful in trust games. We propose a new method, based on evolutionary algorithms, to detect and track the Berge-Zhukovskii equilibrium of a game considering a discrete-time dynamic environment. To test our method we propose a new dynamic multiplayer game model, based on the Voluntary contribution mechanism. Numerical results show the potential of the proposed method.