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On Irreducible Economies

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  • Michael Florig

Abstract

Without a survival assumption, a Walras equilibrium may fail to exist. Only the existence of a quasi-equilibrium can be proven. Several notions of irreducibility were proposed in order to allow a weakening of the survival assumption. We introduce an irreducibility condition which generalizes previous contributions. The irreducibility condition is necessary and sufficient in order to apply standard arguments for the transition from a quasi-equilibrium to a Walras equilibrium. Without a non-satiation condition on the preferences, we show that our arguments remain valid in the case of dividend equilibria.

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  • Michael Florig, 2001. "On Irreducible Economies," Annals of Economics and Statistics, GENES, issue 61, pages 183-199.
    • Handle: RePEc:adr:anecst:y:2001:i:61:p:183-199
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    Cited by:

    1. Florig, Michael, 2001. "Hierarchic competitive equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 515-546, July.
    2. Sato, Norihisa, 2010. "Satiation and existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 534-551, July.
    3. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, August.
    4. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    5. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    6. A. Jofré & R. T. Rockafellar & R. J-B. Wets, 2017. "General economic equilibrium with financial markets and retainability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 309-345, January.
    7. Florig, Michael & Rivera, Jorge, 2019. "Walrasian equilibrium as limit of competitive equilibria without divisible goods," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 1-8.
    8. Sato Norihisa, 2010. "Existence of Competitive Equilibrium in Unbounded Exchange Economies with Satiation: A Note," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-22, July.
    9. Alejandro Jofré & R. Terry Rockafellar & Roger J-B. Wets, 2007. "Variational Inequalities and Economic Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 32-50, February.

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