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About manifolds and determinacy in general equilibrium theory


  • Elvio Accinelli



In this paper we prove that the social equilibrium set, of an exchange economy, with consumption space as a subset of a Banach space in a Banach manifold, and this Characterization does not depend on the number of commodities. In the way to obtain this characterization we will show that the set of social weights of equilibrium, associated with a giben distribution of the initial endowments, is finite.

Suggested Citation

  • Elvio Accinelli, 2003. "About manifolds and determinacy in general equilibrium theory," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 169-177, December.
  • Handle: RePEc:udc:esteco:v:30:y:2003:i:2:p:169-177

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    References listed on IDEAS

    1. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 529-538.
    2. Mariano Tommasi, 1992. "The Welfare Effects of Inflation, The Consequences of Price Instability on Search Markets," UCLA Economics Working Papers 655, UCLA Department of Economics.
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    Cited by:

    1. Covarrubias, Enrique, 2011. "The equilibrium set of economies with a continuous consumption space," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 137-142, March.
    2. Elvio Accinelli Gamba & Leobardo Plata Pérez, 2008. "Crisis sociales y singularidades. Los fundamentos microeconómicos de las crisis sociales," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(2), pages 49-88, November.
    3. Covarrubias Enrique, 2010. "Regular Infinite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, July.
    4. Accinelli, Elvio & Covarrubias, Enrique, 2014. "Smooth economic analysis for general spaces of commodities," MPRA Paper 53222, University Library of Munich, Germany.

    More about this item


    Banach Space; Banach Manifold; General Equilibrium; Equilibrium Social Weights.;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General


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