General equilibrium analysis in ordered topological vector spaces
type: Item
instance of: scholarly article
title: General equilibrium analysis in ordered topological vector spaces
zbMATH Open document ID: 1092.91057
author: Monique Florenzano
author: Charalambos D. Aliprantis
author: R. Tourky
published in: Journal of Mathematical Economics
publication date: 2004-08-19T00:00:00Z
review text: The authors consider the known second welfare theorem, which associate each Pareto optimal allocation with a price equilibrium, and the core-equivalence theorem, which gives the similar association for the Edgeworth equilibrium and core allocations. They consider exchange economies in ordered Hausdorff topological vector spaces without transitivity and monotonicity assumptions on consumer's preferences. They show that necessary and/or sufficient contitions for the above assertions can be expressed in terms of the properties of the Riesz-Kantorovich formula associated with a finite list of linear functionals of the commodity space. Illustrations of these results related to existence problems on several examples are also given.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 2092961
zbMATH Keywords: general equilibrium
zbMATH Keywords: ordered topological spaces
zbMATH Keywords: welfare theorems
zbMATH Keywords: exchange economies
MaRDI profile type: Publication
full work available at URL: j.jmateco.2003.11.004
OpenAlex ID: W2084165712
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DOI: 10.1016/J.JMATECO.2003.11.004
description: scientific article; zbMATH DE number 2092961