Equilibrium points of random generalized games
type: Item
instance of: scholarly article
title: Equilibrium points of random generalized games
zbMATH Open document ID: 0913.90281
DOI: 10.1155/S0161171298001100
author: K. Appert
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1998-12-06T00:00:00Z
full work available at URL: https://eudml.org/doc/48147
review text: Summary: The concepts of random maximal elements, random equilibria and random generalized games are described. Secondly by measurable selection theorem, some existence theorems of random maximal elements for \(L_C\)-majorized correspondences are obtained. Then we prove existence theorems of random equilibria for non-compact one-person random games. Finally, a random equilibrium existence theorem for non-compact random generalized games (resp., random abstract economics) in topological vector spaces and a random equilibrium existence theorem of non-compact random games in locally convex topological vector spaces in which the constraint mappings are lower semicontinuous with countable number of players (resp., agents) are given. Our results are stochastic versions of corresponding results in the recent literatures.
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 28A20
Mathematics Subject Classification ID: 28B20
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A07
zbMATH DE Number: 1230058
zbMATH Keywords: Fan-Browder fixed point
zbMATH Keywords: random maximal elements
zbMATH Keywords: random equilibria
zbMATH Keywords: random generalized games
MaRDI profile type: Publication
OpenAlex ID: W2143149309
description: scientific article; zbMATH DE number 1230058