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Global identification from the equilibrium manifold under incomplete markets

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Author Info
Andrés Carvajal () (Yale University and Royal Holloway, University of London)
Alvaro Riascos () (Banco de la República)

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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.

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File URL: http://www.rhul.ac.uk/economics/Research/WorkingPapers/pdf/dpe0430.pdf
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Paper provided by Department of Economics, Royal Holloway University of London in its series Royal Holloway, University of London: Discussion Papers in Economics with number 04/30.

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Length: 26 pages
Date of creation: Nov 2004
Date of revision: Nov 2004
Handle: RePEc:hol:holodi:0430

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  1. Arthur Lewbel, 2000. "A Rational Rank Four Demand System," Boston College Working Papers in Economics 463, Boston College Department of Economics, revised 04 Apr 2003. [Downloadable!]
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  2. CHIAPPORI, Pierre-AndrŽ & EKELAND, Ivar & KUBLER, FŽlix & POLEMARCHAKIS, Heracles, 2000. "The identification of preferences from equilibrium prices," CORE Discussion Papers 2000024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  3. Donsimoni, M. -P. & Polemarchakis, H. M., 1994. "Redistribution and welfare," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 235-242, May. [Downloadable!] (restricted)
  4. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
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  6. CHIAPPORI, Pierre-AndrŽ & EKELAND, Ivar & KUBLER, FŽlix & POLEMARCHAKIS, Heracles, 2000. "The identification of preferences from equilibrium prices under uncertainty," CORE Discussion Papers 2000025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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  7. Geanakoplos, J. D. & Polemarchakis, H. M., 1990. "Observability and optimality," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 153-165. [Downloadable!] (restricted)
  8. Geanakoplos,J.D. & Polemarchakis,H.M., 1988. "Observability and optimality," Discussion Paper Serie A 216, University of Bonn, Germany.
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