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No-arbitrage condition and existence of equilibrium in asset markets with a continuum of traders

Author

Listed:
  • Cuong Le Van

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • François Magnien

    (Institut national de la statistique et des études économiques (INSEE))

Abstract

In the present paper, we prove that a no-arbitrage condotion (à la Werner) is necessary and sufficient for the existence of an equilibrium with a continuum of traders and a finite of assets. As in Aumann (1966), Hildenbrand (1974) and Schmeidler (1969), preferences are not assume to be convex. We do not use Fatou's Lemma and do not assume that the consumption sets are compact

Suggested Citation

  • Cuong Le Van & François Magnien, 2005. "No-arbitrage condition and existence of equilibrium in asset markets with a continuum of traders," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101351, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00101351
    DOI: 10.1111/j.1742-7363.2005.00004.x
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    Cited by:

    1. Bhowmik Anuj & Gabriella Graziano Maria, 2020. "Blocking Coalitions and Fairness in Asset Markets and Asymmetric Information Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-29, January.

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