Summary.
The purpose of this paper is to provide an equilibrium existence result for economies with a measure space of agents, a finite set of producers and infinitely many differentiated commodities. The approach proposed in this paper, based on the discretization of measurable correspondences, allows us to extend the existence results in Ostroy and Zame (1994) and Podczeck (1997) to economies with a non-trivial production sector and with possibly non-ordered preferences. Moreover, our approach allows for more general consumption sets than the positive cone and following the direction introduced by Podczeck (1998), the uniform substitutability assumptions of Mas-Colell (1975), Jones (1983), and Ostroy and Zame (1994), are replaced by the weaker assumptions of uniform properness.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 11 June 2001, Revised: 6 March 2003,
JEL Classification Numbers:
C62, D51.
Thanks to Charalambos D. Aliprantis, Erik J. Balder, Jean-Marc Bonnisseau, Bernard Cornet, Monique Florenzano, Konrad Podczeck, Rabee Tourky, Nicholas C. Yannelis and two anonymous referee for helpful discussions and suggestions.
Rights and permissions
About this article
Cite this article
Martins-da-Rocha, V.F. Equilibria in large economies with differentiated commodities and non-ordered preferences. Economic Theory 23, 529–552 (2004) (2004). https://doi.org/10.1007/s00199-003-0374-3
Issue Date:
DOI: https://doi.org/10.1007/s00199-003-0374-3