Core and Walrasian equilibria when agents' characteristics are extremely dispersed
type: Item
instance of: scholarly article
title: Core and Walrasian equilibria when agents' characteristics are extremely dispersed
zbMATH Open document ID: 1053.91075
author: Konrad Podczeck
published in: Economic Theory
publication date: 2003-12-16T00:00:00Z
review text: This article represents a beautiful application of functional analysis in connection with ordered Banach spaces together with their order defining cones (having non-empty interior, being normal cones) and with non-separable Banach (or Hilbert) spaces together with the (not first-countable at 0) balls in their dual spaces with the weak-star topology. The paper considers exchange economies with a measure space of traders and a Banach space as commodity space and contains fully proved and interpreted results concerning the set of core allocations (to be not empty) and the set of Walrasian allocations and relations between them. The ``desirable assumptions'' of \textit{R. Tourky} and \textit{C. N. Yannelis} [J. Econ. Theory 101, 189--221 (2001; Zbl 1008.91073)] belong to the necessary conditions for the proved results to be valid. Furthermore some remarks are given with respect to older results in non-separable Hibert spaces, that also hold in non-separable Banach spaces.
reviewed by: Alfred Göpfert
Mathematics Subject Classification ID: 91B54
Mathematics Subject Classification ID: 91B52
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 46B26
Mathematics Subject Classification ID: 46B40
zbMATH DE Number: 2018292
zbMATH Keywords: non-separable commodity space
zbMATH Keywords: core
MaRDI profile type: Publication
full work available at URL: s00199-002-0354-z
OpenAlex ID: W2070975552
DOI: 10.1007/S00199-002-0354-Z
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description: scientific article; zbMATH DE number 2018292