BERGE–VAISMAN AND NASH EQUILIBRIA: TRANSFORMATION OF GAMES

Antonin Pottier (1) , Rabia Nessah (2)

1 CIRED - centre international de recherche sur l'environnement et le développement
2 UMR CNRS 8179

In this paper, we reconsider the concept of Berge equilibrium. In a recent work, Colman et al. [(2011) J. Math. Psych.55, 166–175] proposed a correspondence for two-player games between Berge and Nash equilibria by permutation of the utility functions. We define here more general transformations of games that lead to a correspondence with Berge and Nash equilibria and characterize all such transformations.

Mots clés: Berge equilibrium; Nash equilibrium

Domaines: Economies et finances

Antonin Pottier, Rabia Nessah. BERGE–VAISMAN AND NASH EQUILIBRIA: TRANSFORMATION OF GAMES. International Game Theory Review, 2014, 16 (4), pp.166-175. ⟨10.1142/S0219198914500091⟩. ⟨hal-01083736⟩