Classes of multiojectives games possessing Pareto equilibria

In this paper we study non cooperative games with potential as introduced by Monderer and Shapley in 1996. We extend the notions of weighted and ordinal potential games to a multicriteria setting and study their Pareto equilibria. The importance of these games is the existence of Pareto equilibria i...

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Main Authors:	Laura Levaggi, Lucia Pusillo
Format:	Article
Language:	English
Published:	Elsevier 2017-01-01
Series:	Operations Research Perspectives
Online Access:	http://www.sciencedirect.com/science/article/pii/S221471601730026X

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spelling	doaj-6ff9cf2bec484746b9f431e51aa4a6882020-11-25T01:43:59ZengElsevierOperations Research Perspectives2214-71602017-01-014142148Classes of multiojectives games possessing Pareto equilibriaLaura Levaggi0Lucia Pusillo1Free University of Bolzano, Faculty of Science and Technology, ItalyCorresponding author.; DIMA - Department of Mathematics, University of Genova, via Dodecaneso 35, Genoa 16146, ItalyIn this paper we study non cooperative games with potential as introduced by Monderer and Shapley in 1996. We extend the notions of weighted and ordinal potential games to a multicriteria setting and study their Pareto equilibria. The importance of these games is the existence of Pareto equilibria in pure strategies and in the finite case and the approximate equilibria for some classes of infinite potential games. Some applications are studied via potential games: a water resource problem, a voluntary contribution model, peering games for telecommunication models. Keywords: Multicriteria games, Pareto equilibria, Weighted potential, Ordinal potentialhttp://www.sciencedirect.com/science/article/pii/S221471601730026X
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Laura Levaggi Lucia Pusillo
spellingShingle	Laura Levaggi Lucia Pusillo Classes of multiojectives games possessing Pareto equilibria Operations Research Perspectives
author_facet	Laura Levaggi Lucia Pusillo
author_sort	Laura Levaggi
title	Classes of multiojectives games possessing Pareto equilibria
title_short	Classes of multiojectives games possessing Pareto equilibria
title_full	Classes of multiojectives games possessing Pareto equilibria
title_fullStr	Classes of multiojectives games possessing Pareto equilibria
title_full_unstemmed	Classes of multiojectives games possessing Pareto equilibria
title_sort	classes of multiojectives games possessing pareto equilibria
publisher	Elsevier
series	Operations Research Perspectives
issn	2214-7160
publishDate	2017-01-01
description	In this paper we study non cooperative games with potential as introduced by Monderer and Shapley in 1996. We extend the notions of weighted and ordinal potential games to a multicriteria setting and study their Pareto equilibria. The importance of these games is the existence of Pareto equilibria in pure strategies and in the finite case and the approximate equilibria for some classes of infinite potential games. Some applications are studied via potential games: a water resource problem, a voluntary contribution model, peering games for telecommunication models. Keywords: Multicriteria games, Pareto equilibria, Weighted potential, Ordinal potential
url	http://www.sciencedirect.com/science/article/pii/S221471601730026X
work_keys_str_mv	AT lauralevaggi classesofmultiojectivesgamespossessingparetoequilibria AT luciapusillo classesofmultiojectivesgamespossessingparetoequilibria
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Classes of multiojectives games possessing Pareto equilibria

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