Open AccessBERGE–VAISMAN AND NASH EQUILIBRIA: TRANSFORMATION OF GAMES
Author(s) -
Antonin Pottier,
Rabia Nessah
Publication year - 2014
Publication title -
international game theory review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 23
eISSN - 1793-6675
pISSN - 0219-1989
DOI - 10.1142/s0219198914500091
Subject(s) - mathematical economics , nash equilibrium , mathematics , transformation (genetics) , permutation (music) , epsilon equilibrium , best response , risk dominance , chemistry , philosophy , biochemistry , gene , aesthetics
International audienceIn 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
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