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Existence of Equilibria in the Overlapping Generations Model: The Nontransitive Case

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  • Cherif, Imed
  • Deghdak, Messaoud
  • Florenzano, Monique

Abstract

This paper investigates the existence of competitive equilibria in dynamic exchange models with countably many periods and countably many agents. At each period the commodity space can be finite or infinite dimensional. The preferences of agents are not assumed to be transitive or complete. A first equilibrium existence theorem is established under the classical assumption that there exists a finite set of non-negligible agents. In the particular case of an overlapping generations model, a second existence theorem allows simultaneously for finite-lived assets and infinite-lived assets and limits the previous assumption to infinite-lived assets. This theorem covers obviously the standard case of an overlapping generations model where the agents have no endowment outside their lifetime.

Suggested Citation

  • Cherif, Imed & Deghdak, Messaoud & Florenzano, Monique, 1994. "Existence of Equilibria in the Overlapping Generations Model: The Nontransitive Case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 217-235, March.
    • Handle: RePEc:spr:joecth:v:4:y:1994:i:2:p:217-35
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    Cited by:

    1. Abramovich, Y A & Aliprantis, C D & Zame, W R, 1995. "A Representation Theorem for Riesz Spaces and Its Applications to Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 527-535, May.
    2. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.

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