Nonempty intersection theorems and generalized multi-objective games in product \(FC\)-spaces
type: Item
instance of: scholarly article
title: Nonempty intersection theorems and generalized multi-objective games in product \(FC\)-spaces
zbMATH Open document ID: 1121.91021
published in: Journal of Global Optimization
publication date: 2007-03-06T00:00:00Z
review text: The referred paper deals with the class of generalized multi-objective games with infinitely many players and with multi-valued pay-offs in general topological spaces without any convexity structure, namely in FC-spaces. Using an existence theorem of maximal elements for a family of set-valued pay-off vectors in FC-spaces, the above game model is analyzed. The main contribution of the paper consists in the proof of some new nonempty intersection theorems. Several existence theorems of weak Pareto equilibria for generalized multi-objective games in noncompact FC-spaces represent applications of the main results.
Mathematics Subject Classification ID: 91A44
zbMATH DE Number: 5131213
zbMATH Keywords: noncooperative game
zbMATH Keywords: maximal element theorem
zbMATH Keywords: multi-criteria models
zbMATH Keywords: nonempty intersection theorem
zbMATH Keywords: multi-objective game
zbMATH Keywords: weak Pareto equilibria
zbMATH Keywords: topological space
zbMATH Keywords: \(FC\)-space
author: Xieping Ding
reviewed by: Milan Mareš
MaRDI profile type: Publication
full work available at URL: s10898-006-9036-x
OpenAlex ID: W2035576440
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DOI: 10.1007/S10898-006-9036-X
description: scientific article; zbMATH DE number 5131213