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On the irreducibility of a competitive economy

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  • Florig, Michael

Abstract

In the case of a private ownership economy, we unify McKenzie-Debreu's and Arrow-Hahn's concepts of irreducibility by a generalization of Bergstrom irreducibility to economies with production. This, together with existence of a quasi-equilibrium, will be shown to imply existence of a Walras equilibrium.

Suggested Citation

  • Florig, Michael, 1997. "On the irreducibility of a competitive economy," UC3M Working papers. Economics 6021, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:6021
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    1. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    2. Geistdoerfer-Florenzano, Monique, 1982. "The gale-nikaido-debreu lemma and the existence of transitive equilibrium with or without the free-disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 113-134, January.
    3. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July.
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