Maximal elements and equilibria of generalized games for \({\mathcal U}\)-majorized and condensing correspondences
type: Item
instance of: scholarly article
title: Maximal elements and equilibria of generalized games for \({\mathcal U}\)-majorized and condensing correspondences
zbMATH Open document ID: 0924.47035
DOI: 10.1155/S0161171299221795
author: K. Appert
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-04-13T00:00:00Z
full work available at URL: https://eudml.org/doc/48276
review text: Summary: We first give an existence theorem of maximal elements for a new type of preference correspondences which are \({\mathcal U}\)-majorized. Then some existence theorems for compact (resp., non-compact) quantitative games and generalized games in which the constraint or preference correspondences are \({\mathcal U}\)-majorized (resp., \(\Psi\)-condensing) are obtained in locally convex topological vector spaces.
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 52A07
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 55M25
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91A07
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1275571
zbMATH Keywords: condensing mappings
zbMATH Keywords: open lower sections
zbMATH Keywords: fixed point
zbMATH Keywords: mathematical economics
zbMATH Keywords: selection theorem
zbMATH Keywords: equilibrium point
zbMATH Keywords: abstract economy
zbMATH Keywords: existence theorem
zbMATH Keywords: maximal elements
zbMATH Keywords: preference correspondences
zbMATH Keywords: quantitative games
zbMATH Keywords: generalized games
zbMATH Keywords: locally convex topological vector spaces
MaRDI profile type: Publication
OpenAlex ID: W1988484357
Recommended article: Maximal elements and pair of generalized games for U-majorized and condensing correspondences
Recommended article: Maximal elements and equilibria of generalized games for condensing correspondences
Recommended article: Equilibria of generalized games with \({\mathcal U}\)-majorized preference correspondences
Recommended article: Equilibria of noncompact generalized games with \(\mathcal U\)-majorized preference correspondences
Recommended article: Maximal elements of \(\mathcal{F}_{C,\theta}\)-majorized mappings and applications to generalized games
Recommended article: Equilibria of generalized games with \(L\)-majorized correspondences
Recommended article: Q4455233
Recommended article: Remarks on fixed points, maximal elements, and equilibria of generalized games
Recommended article: Q4945454
Recommended article: Fixed points, maximal elements and equilibria of generalized games
description: scientific article; zbMATH DE number 1275571