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Games 2017, 8(4), 40; https://doi.org/10.3390/g8040040

Vector Games with Potential Function

DIMA-Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, Italy
Received: 1 August 2017 / Revised: 10 September 2017 / Accepted: 15 September 2017 / Published: 21 September 2017
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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. View Full-Text
Keywords: multiobjective games; Pareto equilibria; generalized potential; best reply potential; Pareto potential multiobjective games; Pareto equilibria; generalized potential; best reply potential; Pareto potential
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Pusillo, L. Vector Games with Potential Function. Games 2017, 8, 40.

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