IDEAS home Printed from https://ideas.repec.org/p/kud/kuieca/2005_09.html
   My bibliography  Save this paper

Local Disaggregation of Negative Demand and Excess Demand Functions

Author

Listed:
  • Pierre-André Chiappori

    (Department of Economics, Columbia University)

  • Ivar Ekeland

    (University of British Columbia)

  • Martin Browning

    (Institute of Economics, University of Copenhagen)

Abstract

The literature on the characterization of aggregate excess and market demand has generated three types of results: global, local, or ’at a point’. In this note, we study the relationship between the last two approaches. We prove that within the class of functions satisfying standard conditions and whose Jacobian matrix is negative semi-definite, only n/2 + 1 agents are needed for the ’at’ decomposition. We ask whether, within the same class, the ’around’ decomposition also requires only n/2 + 1 agents.

Suggested Citation

  • Pierre-André Chiappori & Ivar Ekeland & Martin Browning, 2005. "Local Disaggregation of Negative Demand and Excess Demand Functions," CAM Working Papers 2005-09, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
    • Handle: RePEc:kud:kuieca:2005_09
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/cam/wp0910/wp0406/2005-09.pdf/
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    2. M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
    3. 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.
    4. Diewert, W. E., 1977. "Generalized slutsky conditions for aggregate consumer demand functions," Journal of Economic Theory, Elsevier, vol. 15(2), pages 353-362, August.
    5. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
    6. repec:dau:papers:123456789/6427 is not listed on IDEAS
    7. Geanakoplos, J D & Polemarchakis, H M, 1980. "On the Disaggregation of Excess Demand Functions," Econometrica, Econometric Society, vol. 48(2), pages 315-331, March.
    8. Hugo Sonnenschein, 1973. "The Utility Hypothesis and Market Demand Theory," Discussion Papers 51, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    10. 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.
    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. 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.
    2. Chiappori, P.A. & Ekeland, I., 2006. "The micro economics of group behavior: General characterization," Journal of Economic Theory, Elsevier, vol. 130(1), pages 1-26, September.
    3. Chiappori, Pierre-Andre & Ekeland, Ivar, 2004. "Applying exterior differential calculus to economics: a presentation and some new results," Japan and the World Economy, Elsevier, vol. 16(3), pages 363-385, August.
    4. Carvajal, Andres, 2004. "Testable restrictions on the equilibrium manifold under random preferences," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 121-143, February.
    5. Andrés Carvajal, 2003. "Testable Restrictions og General Equilibrium Theory in Exchange Economies with Externalities," Borradores de Economia 3556, Banco de la Republica.
    6. Chiappori, P. A. & Ekeland, I., 2004. "Individual excess demands," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 41-57, February.
    7. Sandomirskiy, Fedor & Ushchev, Philip, 2024. "The geometry of consumer preference aggregation," CEPR Discussion Papers 19100, C.E.P.R. Discussion Papers.
    8. Thorsten Hens, "undated". "An Extension of Mantel (1976) to Incomplete Markets," IEW - Working Papers 071, Institute for Empirical Research in Economics - University of Zurich.
    9. Hens, Thorsten, 2001. "An extension of Mantel (1976) to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 141-149, November.
    10. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    11. 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.
    12. Yariv, Leeat & Jackson, Matthew O., 2018. "The Non-Existence of Representative Agents," CEPR Discussion Papers 13397, C.E.P.R. Discussion Papers.
    13. 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.
    14. 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.
    15. repec:dau:papers:123456789/6360 is not listed on IDEAS
    16. Pierre-André Chiappori & Ivar Ekeland & Felix Kübler & Heracles M. Polemarchakis, 1999. "The Identification of Preferences from Equilibrium Prices," Working Papers hal-00598229, HAL.
    17. Hodgson, Geoffrey M., 1997. "Economics and the return to Mecca: The recognition of novelty and emergence," Structural Change and Economic Dynamics, Elsevier, vol. 8(4), pages 399-412, October.
    18. Aad Ruiter, 2020. "Approximating Walrasian Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 577-596, February.
    19. Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    20. Momi, Takeshi, 2010. "Excess demand function around critical prices in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 293-302, May.
    21. Ghiglino, Christian & Tvede, Mich, 1997. "Multiplicity of Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 1-15, July.

    More about this item

    Keywords

    aggregation; market demand functions;

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    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:kud:kuieca:2005_09. 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: Thomas Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/camkudk.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.