This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Appraising diversity with an ordinal notion of similarity: an Axiomatic approach

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Sebastian Bervoets (IDEP-GREQAM)
Nicolas Gravel () (IDEP-GREQAM)

Additional information is available for the following registered author(s):

Abstract

This paper provides an axiomatic characterization of two rules for comparing alternative sets of objects on the basis of the diversity that they oer. The framework considered assumes a ¥nite universe of objects and an a priorigiven ordinal quadernary relation that compares alternative pairs of objects on the basis of their ordinal dissimilarity. Very few properties of this quadernary relation are assumed (beside completeness, transitivity and a very natural form of symmetry). The two rules that we characterize are the maxi max criterion and the lexi-max criterion. The maxi max criterion considers that a set is more diverse than another if and only if the two objects that are the most dissimilar in the former are weakly as dissimilar as the two most dis- similar objects in the later. The lexi-max criterion is de¥ned as usual as the lexicographic extension of the maximax criterion.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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://www.idep-fr.org/IMG/document/dt/dt0308.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Institut d'economie publique (IDEP), Marseille, France in its series IDEP Working Papers with number 0308.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 17 pages
Date of creation: May 2003
Date of revision:
Handle: RePEc:iep:wpidep:0308

Contact details of provider:
Postal: 2, rue de la Charit� 13002 Marseille
Phone: 04.91.14.07.70
Fax: 04.91.90.02.27
Email:
Web page: http://www.idep-fr.org/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Yves Doazan).

Related research
Keywords:

Other versions of this item:

This paper has been announced in the following NEP Reports: 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.:
  1. Walter Bossert, 1996. "Opportunity sets and individual well-being," Social Choice and Welfare, Springer, vol. 14(1), pages 97-112. [Downloadable!] (restricted)
    Other versions:
  2. Weitzman, Martin L, 1992. "On Diversity," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 363-405, May. [Downloadable!] (restricted)
    Other versions:
  3. Dutta, Bhaskar & Sen, Arunava, 1996. "Ranking Opportunity Sets and Arrow Impossibility Theorems: Correspondence Results," Journal of Economic Theory, Elsevier, vol. 71(1), pages 90-101, October. [Downloadable!] (restricted)
  4. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June. [Downloadable!] (restricted)
  5. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-77, May. [Downloadable!] (restricted)
  6. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March. [Downloadable!] (restricted)
  7. Antonio Romero-Medina, 2001. "More on preference and freedom," Social Choice and Welfare, Springer, vol. 18(1), pages 179-191. [Downloadable!] (restricted)
  8. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    Other versions:
Full references

Cited by:
(explanations, 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.)

  1. Antoinette Baujard (CREM - CNRS), 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS. [Downloadable!]
    Other versions:
  2. Ricardo Arlegi, 2005. "Freedom Of Choice And Conflict Resolution," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0502, Departamento de Economía - Universidad Pública de Navarra. [Downloadable!]
Statistics
Access and download statistics

Did you know? All the bibliographic data shown here has been contributed by volunteers, thereby helping to keep this service free.

This page was last updated on 2009-11-18.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.