IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v8y1996i2p229-237.html
   My bibliography  Save this article

A discrete characterization of Slutsky symmetry (*)

Author

Listed:
  • David Jerison

    (Department of Mathematics, MIT, Cambridge, MA 02139, USA)

  • Michael Jerison

    (Department of Economics, SUNY, Albany, NY 12222, USA)

Abstract

A smooth demand function is generated by utility maximization if and only if its Slutsky matrix is symmetric and negative semidefinite. Slutsky symmetry is equivalent to absence of smooth revealed preference cycles, cf. Hurwicz and Richter (Econometrica 1979). To observe such a cycle would require a continuum of data. We characterize Slutsky symmetry by means of discrete "antisymmetric" revealed preference cycles consisting of either three or four observations.

Suggested Citation

  • David Jerison & Michael Jerison, 1996. "A discrete characterization of Slutsky symmetry (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 229-237.
  • Handle: RePEc:spr:joecth:v:8:y:1996:i:2:p:229-237
    Note: Received: June 8, 1995; Accepted: August 7, 1995
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M. Ali Khan & Edward E. Schlee, 2016. "On Lionel McKenzie's 1957 intrusion into 20th‐century demand theory," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 49(2), pages 589-636, May.
    2. Victor H. Aguiar & Roberto Serrano, 2013. "Slutsky Matrix Norms and the Size of Bounded Rationality," Working Papers 2013-16, Brown University, Department of Economics.

    More about this item

    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:spr:joecth:v:8:y:1996:i:2:p:229-237. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.