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Equilibria in reflexive Banach lattices with a continuum of agents

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Author Info
Aloisio Araujo ()
V. Martins-da-Rocha ()
Paulo Monteiro ()

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Abstract

We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras equivalence were established in Rustichini-Yannelis [27] and Podczeck [25]. In this paper we prove that under similar assumptions on marginal rates of substitution, the set of competitive equilibria (and thus the core) is non-empty. Copyright Springer-Verlag Berlin/Heidelberg 2004

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File URL: http://hdl.handle.net/10.1007/s00199-004-0478-4
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 24 (2004)
Issue (Month): 3 (October)
Pages: 469-492
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Handle: RePEc:spr:joecth:v:24:y:2004:i:3:p:469-492

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Related research
Keywords: Competitive equilibria; Continuum of agents; Reflexive Banach lattice commodity spaces; Uniform properness.;

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  1. Bernard Cornet & V. F. Martins-Da-Rocha, 2005. "Fatou¡¯S Lemma For Unbounded Gelfand Integrable Mappings," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200503, University of Kansas, Department of Economics, revised Feb 2005. [Downloadable!]
  2. Khan, M. Ali Khan, 2007. "Perfect Competition," MPRA Paper 2202, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2009-11-25.

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