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BERGE–VAISMAN AND NASH EQUILIBRIA: TRANSFORMATION OF GAMES

Antonin Pottier and Rabia Nessah ()

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Abstract: 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.

Keywords: Berge equilibrium; Nash equilibrium (search for similar items in EconPapers)
Date: 2014-05
Note: View the original document on HAL open archive server: https://hal.science/hal-01083736v1
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Published in International Game Theory Review, 2014, 16 (4), pp.166-175. ⟨10.1142/S0219198914500091⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01083736

DOI: 10.1142/S0219198914500091

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