IDEAS home Printed from https://ideas.repec.org/p/egc/wpaper/782.html
   My bibliography  Save this paper

Three Lectures on the Walrasian Hypotheses for Exchange Economies

Author

Listed:
  • Donald J. Brown

    (Department of Economics, Yale University)

Abstract

This paper discusses the testable implications of the Walrasian hypotheses: H1 Observed market demand is the sum of consumer's demands derived from utility maximization subject to budget constraints. H2 There exists an observable (locally) unique equilibrium price system such that the observable market demand is equal to the observable market supply in every market. H3 The observed equilibrium price system is a (locally) stable equilibrium of tƒtonnement price adjustment. The main results are the Brown Matzkin Theorem: H1 is testable, and the Brown Shannon Theorem: H2 and H3 are not testable.

Suggested Citation

  • Donald J. Brown, 1997. "Three Lectures on the Walrasian Hypotheses for Exchange Economies," Working Papers 782, Economic Growth Center, Yale University.
  • Handle: RePEc:egc:wpaper:782
    as

    Download full text from publisher

    File URL: http://www.econ.yale.edu/growth_pdf/cdp782.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mas-Colell, Andreu, 1977. "On the equilibrium price set of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 117-126, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kubler, Felix & Schmedders, Karl, 2010. "Competitive equilibria in semi-algebraic economies," Journal of Economic Theory, Elsevier, vol. 145(1), pages 301-330, January.
    2. Donald J. Brown & Chris Shannon, 2000. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," Econometrica, Econometric Society, vol. 68(6), pages 1529-1540, November.
    3. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.
    4. 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.
    5. Maćkowiak, Piotr, 2011. "Some Equivalents of Brouwer's Fixed Point Theorem and the Existence of Economic Equilibrium," MPRA Paper 42461, University Library of Munich, Germany.
    6. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    7. Gaël Giraud & Isabelle Maret, 2007. "The Exact Insensitivity of Market Budget Shares and the "Balancing Effect"," Working Papers halshs-00155753, HAL.
    8. Brown, Donald J., 1997. "Three Lectures on the Walrasian Hypotheses for Exchange Economies," Center Discussion Papers 28459, Yale University, Economic Growth Center.
    9. Castro, Sofia B.S.D. & Dakhlia, Sami & Gothen, Peter B., 2013. "From singularity theory to finiteness of Walrasian equilibria," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 169-175.
    10. Gaël GIRAUD & Isabelle MARET, 2005. "The Exact Insensitivity of Market Budget Shares and the 'Balancing Effect'," Working Papers of BETA 2005-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    11. 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.
    12. 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.
    13. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
    14. Gael GIRAUD & Isabelle MARET, 2002. "Modelling Behavioral Heterogeneity," Working Papers of BETA 2002-22, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    15. Andrés Carvajal, 2003. "Testable Restrictions og General Equilibrium Theory in Exchange Economies with Externalities," Borradores de Economia 3556, Banco de la Republica.
    16. Gael Giraud & Isabelle Maret, 2001. "Behavioral Heterogeneity in Large Economies," Working Papers of BETA 2001-08, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    17. Pascal Gauthier & Timothy J. Kehoe & Erwan Quintin, 2022. "Constructing pure-exchange economies with many equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 541-564, April.
    18. Chiappori, P. A. & Ekeland, I., 2004. "Individual excess demands," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 41-57, February.
    19. Williams, Steven R., 2002. "Equations on the Derivatives of an Initial Endowment-Competitive Equilibrium Mapping for an Exchange Economy," Working Papers 02-0110, University of Illinois at Urbana-Champaign, College of Business.
    20. Lehmann-Waffenschmidt, Marco, 1995. "On the equilibrium price set of a continuous perturbation of exchange economies," Journal of Mathematical Economics, Elsevier, vol. 24(5), pages 497-519.

    More about this item

    Keywords

    Exchange Economies; Testable Restrictions;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:egc:wpaper:782. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Benjamin King (email available below). General contact details of provider: https://edirc.repec.org/data/egyalus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.