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Global identification from the equilibrium manifold under incomplete markets

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Abstract

We show that, even under incomplete markets, the equilibrium manifold identifies individual demands everywhere in their domains. For this, we assume conditions of smoothness, interiority and regularity, and avoid observational requirements at the individual level. 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, 2004. "Global identification from the equilibrium manifold under incomplete markets," Royal Holloway, University of London: Discussion Papers in Economics 04/30, Department of Economics, Royal Holloway University of London, revised Nov 2004.
    • Handle: RePEc:hol:holodi:0430
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    1. Geanakoplos, J. D. & Polemarchakis, H. M., 1990. "Observability and optimality," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 153-165.
    2. 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.
    3. 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.
    4. Pierre-André Chiappori & Ivar Ekeland & Felix Kübler & Heracles M. Polemarchakis, 1999. "The Identification of Preferences from Equilibrium Prices," Working Papers hal-00598229, HAL.
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    6. Donsimoni, M. -P. & Polemarchakis, H. M., 1994. "Redistribution and welfare," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 235-242, May.
    7. 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.
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    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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