Vector Games with Potential Function

Lucia Pusillo
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Lucia Pusillo: DIMA-Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, Italy

Games, 2017, vol. 8, issue 4, 1-11

Abstract: The theory of non cooperative games with potential function was introduced by Monderer and Shapley in 1996. Such games have interesting properties, among which is the existence of equilibria in pure strategies. The paper by Monderer and Shapley has inspired many game theory researchers. In the present paper, many classes of multiobjective games with potential functions are studied. The notions of generalized, best-reply and Pareto potential games are introduced in a multicriteria setting. Some properties and Pareto equilibria are investigated.

Keywords: multiobjective games; Pareto equilibria; generalized potential; best reply potential; Pareto potential (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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