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Testable restrictions on the equilibrium manifold under random preferences

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  • Carvajal, Andres

Abstract

General equilibrium theory was criticized for its apparent irrefutability, as seemingly implied by the Sonnenschein-Mantel-Debreu theorem. This view was challenged by Brown and Matzkin (1996), who showed the existence of testable restrictions on the equilibrium manifold. Brown and Matzkin, however, maintain the assumption that individual preferences are invariant (against psychological evidence). I consider the Brown- Matzkin problem under random preferences: for each profile of endowments one observes a distribution of prices; does there exist a probability distribution of preferences that explains the observed distributions of prices via Walrasian equilibria? I argue that even under random utilities general equilibrium theory is falsifiable.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 40 (2004)
Issue (Month): 1-2 (February)
Pages: 121-143

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Handle: RePEc:eee:mateco:v:40:y:2004:i:1-2:p:121-143

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Andrés Carvajal, . "Testable Restrictions of General Equilibrium Theory in Exchange Economies with Externalities," Borradores de Economia 231, Banco de la Republica de Colombia.
  2. Geanakoplos, J D & Polemarchakis, H M, 1980. "On the Disaggregation of Excess Demand Functions," Econometrica, Econometric Society, vol. 48(2), pages 315-31, March.
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  4. Chiappori, Pierre-André & Ekeland, Ivar, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Economics Papers from University Paris Dauphine 123456789/6427, Paris Dauphine University.
  5. Krebs, Tom, 2004. "Testable implications of consumption-based asset pricing models with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 191-206, February.
  6. P. A. Chiappori & I. Ekeland, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Econometrica, Econometric Society, vol. 67(6), pages 1435-1458, November.
  7. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  8. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
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  10. Rosa L. Matzkin & Marcel K. Richter, 1987. "Testing Strictly Concave Rationality," Cowles Foundation Discussion Papers 844, Cowles Foundation for Research in Economics, Yale University.
  11. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
  12. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
  13. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-15, July.
  14. Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
  15. Hausman, Daniel M., 2000. "Revealed preference, belief, and game theory," Economics and Philosophy, Cambridge University Press, vol. 16(01), pages 99-115, April.
  16. Shafer, Wayne & Sonnenschein, Hugo, 1993. "Market demand and excess demand functions," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 14, pages 671-693 Elsevier.
  17. repec:fth:louvco:2000/24 is not listed on IDEAS
  18. Diewert, W. E., 1977. "Generalized slutsky conditions for aggregate consumer demand functions," Journal of Economic Theory, Elsevier, vol. 15(2), pages 353-362, August.
  19. CHIAPPORI, Pierre-André & EKELAND, Ivar & KUBLER, Félix & 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).
  20. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-91, May.
  21. P.A. Chiappori & I. Ekeland & F. Kubler & H.M. Polemarchakis, 2002. "Testable Implications of General Equilibrium Theory: a differentiable approach," Working Papers 2002-10, Brown University, Department of Economics.
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Cited by:
  1. Carvajal, Andres & Quah, John K.-H., 2009. "A Nonparametric Analysis of the Cournot Model," The Warwick Economics Research Paper Series (TWERPS) 922, University of Warwick, Department of Economics.
  2. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2009. "Testable implications of general equilibrium models: an integer programming approach," Center for Economic Studies - Discussion papers ces09.14, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  3. Robert R. Routledge, 2009. "Testable implications of the Bertrand model," The School of Economics Discussion Paper Series 0918, Economics, The University of Manchester.
  4. Christian Schwarz & Uwe Stroinski, 2009. "Is there a Walrasian Equilibrium in Exchange Markets with Endowment Effect?," Ruhr Economic Papers 0082, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  5. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer, vol. 45(1), pages 349-378, October.
  6. Andrés Carvajal, 2004. "Testable Restrictions of General Equilibrium Theory in Exchange Economies with Externalities," Royal Holloway, University of London: Discussion Papers in Economics 04/28, Department of Economics, Royal Holloway University of London, revised Nov 2004.

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