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The Identification Of Preferences From Market Data Under Uncertainty

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  • Andrés Carvajal

    ()

  • Alvaro Riascos

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Abstract

We show that even under incomplete markets, the equilibrium manifold identifies aggregate demand and individual demands everywhere in their domains. Moreover, under partial observation of the equilibrium manifold, we we construct maximal domains of identification. For this, we assume conditions of smoothness, interiority and regularity, but avoid implausible observational requirements. It is crucial that there be date-zero consumption. As a by-product, we develop some duality theory under incomplete markets.

Suggested Citation

  • Andrés Carvajal & Alvaro Riascos, 2005. "The Identification Of Preferences From Market Data Under Uncertainty," DOCUMENTOS CEDE 003599, UNIVERSIDAD DE LOS ANDES-CEDE.
  • Handle: RePEc:col:000089:003599
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    File URL: http://economia.uniandes.edu.co/publicaciones/d2005-48.pdf
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    References listed on IDEAS

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    1. Arthur Lewbel, 2003. "A rational rank four demand system," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 127-135.
    2. Carvajal Andrés & Riascos Alvaro, 2005. "Identification of Preferences from Market Data," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 5(1), pages 1-17, April.
    3. repec:dau:papers:123456789/13505 is not listed on IDEAS
    4. Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004. "Testable implications of general equilibrium theory: a differentiable approach," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 105-119, February.
    5. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
    6. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    7. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 493-501, October.
    8. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    9. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    10. Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
    11. Rosa Matzkin, 2005. "Identification of consumers’ preferences when their choices are unobservable," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 423-443, August.
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    Cited by:

    1. Carvajal, Andres & Polemarchakis, H.M., 2008. "Identification of Pareto-improving policies: Information as the real invisible hand," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 167-179, January.

    More about this item

    Keywords

    Identification;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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