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The Identification Of Preferences From Market Data Under Uncertainty

Author

Listed:
  • Andrés Carvajal
  • Alvaro Riascos
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 3599, Universidad de los Andes, Facultad de Economía, CEDE.
    • Handle: RePEc:col:000089:003599
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    File URL: https://repositorio.uniandes.edu.co/bitstream/handle/1992/7955/dcede2005-48.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Felix Kubler, 2008. "Observable Restrictions of General Equilibrium Models with Financial Markets," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 93-108, Springer.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    4. 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.
    5. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    6. 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.
    7. Rosa L. Matzkin, 2006. "Identification of consumers’ preferences when their choices are unobservable," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 195-215, Springer.
    8. Arthur Lewbel, 2003. "A rational rank four demand system," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 127-135.
    9. Pierre-André Chiappori & Ivar Ekeland & Felix Kübler & Heracles M. Polemarchakis, 1999. "The Identification of Preferences from Equilibrium Prices," Working Papers hal-00598229, HAL.
    10. 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.
    11. repec:dau:papers:123456789/13505 is not listed on IDEAS
    12. Donsimoni, M. -P. & Polemarchakis, H. M., 1994. "Redistribution and welfare," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 235-242, May.
    13. 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.
    14. 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.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Dranev Yury & Maxim Babushkin, 2014. "Asymmetric exchange-rate exposure in BRIC countries," HSE Working papers WP BRP 27/FE/2014, National Research University Higher School of Economics.
    2. 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.

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    Keywords

    Identification;

    JEL classification:

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

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