Summary.
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.
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Received: 20 October 2003, Revised: 2 February 2004,
JEL Classification Numbers:
C62, D41, D51.
Correspondence to:V. Filipe Martins-da-Rocha
Thanks to Charalambos D. Aliprantis, Konrad Podczeck, Rabee Tourky, Nicholas C. Yannelis and an anonymous referee for helpful discussions and suggestions.
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Araujo, A., Martins-da-Rocha, V.F. & Monteiro, P.K. Equilibria in reflexive Banach lattices with a continuum of agents. Economic Theory 24, 469–492 (2004). https://doi.org/10.1007/s00199-004-0478-4
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DOI: https://doi.org/10.1007/s00199-004-0478-4