Games 2017, 8(4), 40; doi: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-TextKeywords:
multiobjective games; Pareto equilibria; generalized potential; best reply potential; Pareto potential
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Pusillo, L. Vector Games with Potential Function. Games 2017, 8, 40.
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