Advanced Search
MyIDEAS: Login

A Simple Test of Richter-Rationality

Contents:

Author Info

  • Marc-Arthur Diaye

    ()
    (Centre d’Etude de l’Emploi and University of Evry (EPEE))

  • Michal Wong-Urdanivia

    ()
    (Centre de Recherche en Mathématiques, Statistique, et Economie Mathématique (CERMSEM), University Paris 1 Panthéon-Sorbonne)

Registered author(s):

    Abstract

    We propose in this note a simple non-parametric test of Richterrationality which is the basic definition of rationality used in choice functions theory. Loosely speaking, the data set is rationalizable in the Richter’ sense if there exists a complete-acyclic binary relation that rationalizes the data set. Hence a data set is rationalizable in the Richter’ sense if there exists a variable intervals function which rationalizes this data set. Since an acyclic binary relation is not necessary transitive then the proposed Richter-rationality test is weaker than GARP. Finally the test is performed over Mattei’s1 data sets.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://epee.univ-evry.fr/RePEc/2006/06-01.pdf
    Download Restriction: no

    Bibliographic Info

    Paper provided by Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne in its series Documents de recherche with number 06-01.

    as in new window
    Length: 26 pages
    Date of creation: 2006
    Date of revision:
    Handle: RePEc:eve:wpaper:06-01

    Contact details of provider:
    Postal: 4, bld Francois Mitterand, 91025 Evry Cedex
    Phone: +33 1 69 47 71 77
    Fax: +33 1 69 47 70 50
    Web page: http://epee.univ-evry.fr
    More information through EDIRC

    Related research

    Keywords: GARP; Choice Functions; Richter-Rationality; Variable Intervals Functions;

    Find related papers by JEL classification:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. William T. Harbaugh & Kate Krause & Timothy R. Berry, 2001. "GARP for Kids: On the Development of Rational Choice Behavior," American Economic Review, American Economic Association, vol. 91(5), pages 1539-1545, December.
    2. Dombi, Jozsef & Vincze, Nandor J., 1994. "Universal characterization of non-transitive preferences," Mathematical Social Sciences, Elsevier, vol. 27(1), pages 91-104, February.
    3. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
    4. Sippel, Reinhard, 1997. "An Experiment on the Pure Theory of Consumer's Behaviour," Economic Journal, Royal Economic Society, vol. 107(444), pages 1431-44, September.
    5. William Harbaugh & Kate Krause & Timothy Berry, 2001. "Garp for kids: On the development of rational choice behavior," Artefactual Field Experiments 00056, The Field Experiments Website.
    6. Anand, Paul, 1995. "Foundations of Rational Choice Under Risk," OUP Catalogue, Oxford University Press, number 9780198774426.
    7. Agaev, Rafig & Aleskerov, Fuad, 1993. "Interval choice: classic and general cases," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 249-272, November.
    8. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    9. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
    10. Bridges, Douglas S., 1983. "Numerical representation of intransitive preferences on a countable set," Journal of Economic Theory, Elsevier, vol. 30(1), pages 213-217, June.
    11. Rodriguez-Palmero, Carlos, 1997. "A representation of acyclic preferences," Economics Letters, Elsevier, vol. 54(2), pages 143-146, February.
    12. Famulari, Melissa, 1995. "A Household-Based, Nonparametric Test of Demand Theory," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 372-82, May.
    13. Jamison, Dean T & Lau, Lawrence J, 1973. "Semiorders and the Theory of Choice," Econometrica, Econometric Society, vol. 41(5), pages 901-12, September.
    14. Chateauneuf, Alain, 1987. "Continuous representation of a preference relation on a connected topological space," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 139-146, April.
    15. Fishburn, P. C., 1984. "SSB utility theory and decision-making under uncertainty," Mathematical Social Sciences, Elsevier, vol. 8(3), pages 253-285, December.
    16. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
    17. Diaye, Marc-Arthur, 1999. "Variable intervals model," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 21-33, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:eve:wpaper:06-01. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Samuel Nosel).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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