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Testable Restrictions on the Equilibrium Manifold under Random Preferences

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  • Andrés Carvajal

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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(This abstract was borrowed from another version of this item.)

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  • Andrés Carvajal, 2003. "Testable Restrictions on the Equilibrium Manifold under Random Preferences," Borradores de Economia 233, Banco de la Republica de Colombia.
    • Handle: RePEc:bdr:borrec:233
    DOI: 10.32468/be.233
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    2. Andrés Carvajal, 2003. "Testable Restrictions og General Equilibrium Theory in Exchange Economies with Externalities," Borradores de Economia 3556, Banco de la Republica.
    3. 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.
    4. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2011. "Testable implications of general equilibrium models: An integer programming approach," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 564-575.
    5. Christopher P Chambers & Federico Echenique, 2021. "Empirical Welfare Economics," Papers 2108.03277, arXiv.org, revised Jun 2024.
    6. 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.
    7. Robert R. Routledge, 2009. "Testable implications of the Bertrand model," Economics Discussion Paper Series 0918, Economics, The University of Manchester.
    8. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 349-378, October.
    9. Schwarz, Christian & Stroinski, Uwe, 2009. "Is there a Walrasian Equilibrium in Exchange Markets with Endowment Effect?," Ruhr Economic Papers 82, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    10. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, August.
    11. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    12. Carvajal, Andrés & Song, Xinxi, 2018. "Testing Pareto efficiency and competitive equilibrium in economies with public goods," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 19-30.
    13. 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.
    14. Bachmann, Ruediger, 2004. "Rationalizing allocation data--a nonparametric Walrasian theory when prices are absent or non-Walrasian," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 271-295, June.

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