Vector Games with Potential Function

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 prese...

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Main Author:	Lucia Pusillo
Format:	Article
Language:	English
Published:	MDPI AG 2017-09-01
Series:	Games
Subjects:	multiobjective games Pareto equilibria generalized potential best reply potential Pareto potential
Online Access:	https://www.mdpi.com/2073-4336/8/4/40

id	doaj-6bf4de8322c54aa799e3a7ab4028b953
record_format	Article
spelling	doaj-6bf4de8322c54aa799e3a7ab4028b9532020-11-24T21:38:52ZengMDPI AGGames2073-43362017-09-01844010.3390/g8040040g8040040Vector Games with Potential FunctionLucia Pusillo0DIMA-Department of Mathematics, University of Genova, via Dodecaneso 35, 16146 Genova, ItalyThe 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.https://www.mdpi.com/2073-4336/8/4/40multiobjective gamesPareto equilibriageneralized potentialbest reply potentialPareto potential
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lucia Pusillo
spellingShingle	Lucia Pusillo Vector Games with Potential Function Games multiobjective games Pareto equilibria generalized potential best reply potential Pareto potential
author_facet	Lucia Pusillo
author_sort	Lucia Pusillo
title	Vector Games with Potential Function
title_short	Vector Games with Potential Function
title_full	Vector Games with Potential Function
title_fullStr	Vector Games with Potential Function
title_full_unstemmed	Vector Games with Potential Function
title_sort	vector games with potential function
publisher	MDPI AG
series	Games
issn	2073-4336
publishDate	2017-09-01
description	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.
topic	multiobjective games Pareto equilibria generalized potential best reply potential Pareto potential
url	https://www.mdpi.com/2073-4336/8/4/40
work_keys_str_mv	AT luciapusillo vectorgameswithpotentialfunction
_version_	1725934064315138048

Vector Games with Potential Function

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