Quasi-equilibria in Banach spaces with lower semi-continuous preferences
type: Item
instance of: scholarly article
title: Quasi-equilibria in Banach spaces with lower semi-continuous preferences
zbMATH Open document ID: 1087.91034
author: Ning Sun
published in: Economic Theory
publication date: 2006-03-21T00:00:00Z
review text: The paper contributes to the theory of equilibria in finitely dimensional economies. The attention is focused on the economies in which the consumers' preferences are lower semi-continuous and in which infinitely many commodities are dealt. It is especially stressed that the model includes the lexicographical ordering, too, and that its principles can be widely used in the social choice theory. As the preferences of the considered type may not be represented by a utility function, many significant methods of the classical finite dimensional settings cannot be used. The main result of the paper regards the proof of the existence of a non-trivial quasi-equilibrium for the considered economies. Further results characterize the relations between deterministic and fuzzy open cores and, especially, extend the main result to economies with a rather more general total production set.
Mathematics Subject Classification ID: 91B52
Mathematics Subject Classification ID: 91B54
zbMATH DE Number: 5013646
zbMATH Keywords: Banach commodity space
zbMATH Keywords: Open core
zbMATH Keywords: Quasi-equilibrium
zbMATH Keywords: Properness
zbMATH Keywords: Infinitely many commodities
zbMATH Keywords: Lower semi-continuous preferences
reviewed by: Milan Mareš
MaRDI profile type: Publication
full work available at URL: s00199-004-0565-6
OpenAlex ID: W2002729768
DOI: 10.1007/S00199-004-0565-6
description: scientific article; zbMATH DE number 5013646