Equilibria in reflexive Banach lattices with a continuum of agents
type: Item
instance of: scholarly article
title: Equilibria in reflexive Banach lattices with a continuum of agents
zbMATH Open document ID: 1098.91085
author: V. Filipe Martins-da-Rocha
author: Aloisio Araujo
author: Paulo Monteiro
published in: Economic Theory
publication date: 2005-02-11T00:00:00Z
full work available at URL: https://basepub.dauphine.fr/handle/123456789/6273
review text: In the framework of large square economies the authors discuss carefully assumptions and former results with respect to core-Walras equivalence and nonemptyness of the set of competitive equilibria and give two new existence theorems for equilibria with full proofs, weakening some of the assumptions of known results (f.i. conditions with respect to bounds on the marginal rates of substitution). The existence proof is based on the discretization of the set of agents. So a limiting process becomes to be necessary. In order to realize it (and to apply a Fatou's type lemma) the positive cone in the commodity space is interestingly a Fatou's cone (similar to a Phelps cone in Convex Analysis supplemented by an integrability condition).
reviewed by: Alfred Göpfert
Mathematics Subject Classification ID: 91B54
Mathematics Subject Classification ID: 91B52
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46N10
zbMATH DE Number: 2133530
zbMATH Keywords: competitive equilibria
zbMATH Keywords: continuum of agents
zbMATH Keywords: Banach lattice commodity spaces
zbMATH Keywords: uniform properness
zbMATH Keywords: Fatou's cone
MaRDI profile type: Publication
OpenAlex ID: W2039512374
DOI: 10.1007/S00199-004-0478-4
description: scientific article; zbMATH DE number 2133530