Advanced Search
MyIDEAS: Login

On rationalizability of choice functions: A characterization of the median

Contents:

Author Info

  • Wulf Gaertner

    (Department of Economics, University of Osnabrück, D-49069 Osnabrück, Germany)

  • Yongsheng Xu

    (Department of Economics, University of Nottingham, Nottingham NG7 2RD, UK)

Abstract

In this paper we characterize choice behaviour that picks the median element from a set of feasible alternatives. It is easily seen that this choice behaviour violates most of the standard consistency conditions for set contraction and set expansion. The paper offers a complete characterization in terms of pure choice function conditions, and contrasts the new axiom set with the traditional consistency conditions. It also suggests alternative external references which could explain the choice of the median.

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://link.springer.de/link/service/journals/00355/papers/9016004/90160629.pdf
Download Restriction: Access to the full text of the articles in this series is restricted

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 16 (1999)
Issue (Month): 4 ()
Pages: 629-638

as in new window
Handle: RePEc:spr:sochwe:v:16:y:1999:i:4:p:629-638

Note: Received: 2 June 1997/Accepted: 27 July 1998
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00355/index.htm

Order Information:
Web: http://link.springer.de/orders.htm

Related research

Keywords:

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

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

Cited by:
  1. Sebastiano Bavetta & Marco Del Seta, 2001. "Constraints and the Measurement of Freedom of Choice," Theory and Decision, Springer, vol. 50(3), pages 213-238, May.
  2. Donald Katzner, 2000. "Culture and the Explanation of Choice behavior," Theory and Decision, Springer, vol. 48(3), pages 241-262, May.
  3. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
  4. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, EconWPA, revised 21 Jul 2005.
  5. Ritxar Arlegi, 2001. "Rational Evaluation of Actions Under Complete Uncertainty," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0114, Departamento de Economía - Universidad Pública de Navarra.
  6. Walter Bossert & Kotaro Suzumura, 2011. "Rationality, external norms, and the epistemic value of menus," Social Choice and Welfare, Springer, vol. 37(4), pages 729-741, October.
  7. Manzini, Paola & Mariotti, Marco, 2004. "Rationalizing Boundedly Rational Choice: Sequential Rationalizability and Rational Shortlist Methods," IZA Discussion Papers 1239, Institute for the Study of Labor (IZA).
  8. Gaertner, Wulf & Xu, Yongsheng, 1997. "Optimization and external reference; a comparison of three axiomatic systems," Economics Letters, Elsevier, vol. 57(1), pages 57-62, November.

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:spr:sochwe:v:16:y:1999:i:4:p:629-638. 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: (Guenther Eichhorn) or (Christopher F Baum).

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.