Vector games with potential function
type: Item
instance of: scholarly article
title: Vector games with potential function
zbMATH Open document ID: 1410.91031
author: Lucia Pusillo
published in: Games
publication date: 2018-08-13T00:00:00Z
review text: Summary: The theory of noncooperative games with potential function was introduced by \textit{D. Monderer} and \textit{L. S. Shapley} [Games Econ. Behav. 14, No. 1, 124--143 (1996; Zbl 0862.90137)]. 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.
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91B54
zbMATH DE Number: 6916615
zbMATH Keywords: multiobjective games
zbMATH Keywords: Pareto equilibria
zbMATH Keywords: generalized potential
zbMATH Keywords: best reply potential
zbMATH Keywords: Pareto potential
MaRDI profile type: Publication
full work available at URL: g8040040
OpenAlex ID: W2758321654
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DOI: 10.3390/G8040040
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description: scientific article; zbMATH DE number 6916615