Advanced Search
MyIDEAS: Login to save this article or follow this journal

Separability and aggregation of equivalence relations

Contents:

Author Info

  • Dinko Dimitrov

    ()

  • Thierry Marchant

    ()

  • Debasis Mishra

    ()

Abstract

We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability and unanimity characterize the family of meet aggregators. We show another characterization of the family of meet aggregators using conjunctive separability and two Pareto axioms, Pareto + and Pareto − . If we drop Pareto − , then conjunctive separability and Pareto + characterize the family of meet aggregators along with a trivial aggregator. Copyright Springer-Verlag 2012

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://hdl.handle.net/10.1007/s00199-011-0601-2
Download Restriction: Access to full text is restricted to subscribers.

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 Economic Theory.

Volume (Year): 51 (2012)
Issue (Month): 1 (September)
Pages: 191-212

as in new window
Handle: RePEc:spr:joecth:v:51:y:2012:i:1:p:191-212

Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm

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

Related research

Keywords: Aggregation; Equivalence relations; Separability; Unanimity; Pareto axiom; C0; D0;

Other versions of this item:

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. Dinko Dimitrov & Clemens Puppe, 2009. "Non-bossy Social Classification," Working Papers 2009.101, Fondazione Eni Enrico Mattei.
  2. Peter Fishburn & Ariel Rubinstein, 1986. "Aggregation of equivalence relations," Journal of Classification, Springer, vol. 3(1), pages 61-65, March.
  3. Dimitrov, D.A. & Sung, S.C. & Xu, Y., 2003. "Procedural Group Identification," Discussion Paper 2003-10, Tilburg University, Center for Economic Research.
  4. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
  5. David Schmeidler, 2000. "Between LIberalism and Democracy," Working Papers 00-08, Ohio State University, Department of Economics.
  6. John Geanakoplos, 2005. "Three brief proofs of Arrow’s Impossibility Theorem," Economic Theory, Springer, vol. 26(1), pages 211-215, 07.
  7. Leclerc, B., 1984. "Efficient and binary consensus functions on transitively valued relations," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 45-61, August.
  8. Jean-Pierre Barthélemy & Bruno Leclerc & Bernard Monjardet, 1986. "On the use of ordered sets in problems of comparison and consensus of classifications," Journal of Classification, Springer, vol. 3(2), pages 187-224, September.
  9. J. Barthélemy, 1988. "Comments on “aggregation of equivalence relations” by P. C. Fishburn and A. Rubinstein," Journal of Classification, Springer, vol. 5(1), pages 85-87, March.
  10. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
  11. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  12. Dean Neumann & Victor Norton, 1986. "Clustering and isolation in the consensus problem for partitions," Journal of Classification, Springer, vol. 3(2), pages 281-297, September.
  13. Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
  14. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
Full references (including those not matched with items on IDEAS)

Citations

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

Cited by:
  1. Christopher P. Chambers & Alan D. Miller, 2014. "Inefficiency Measurement," American Economic Journal: Microeconomics, American Economic Association, vol. 6(2), pages 79-92, May.
  2. Chambers, Christopher P. & Miller, Alan D., . "Inefficiency," Working Papers WP2011/14, University of Haifa, Department of Economics, revised 30 Nov 2011.
  3. repec:hal:journl:halshs-00659190 is not listed on IDEAS
  4. Bruno Leclerc & Bernard Monjardet, 2010. "Aggregation and residuation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00504982, HAL.
  5. Debasis Mishra & Souvik Roy, 2011. "Strategy-proof partitioning," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 11-06, Indian Statistical Institute, New Delhi, India.
  6. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
  7. Christopher Chambers & Alan Miller, 2011. "Rules for aggregating information," Social Choice and Welfare, Springer, vol. 36(1), pages 75-82, January.
  8. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2013. "The Condorcet set: Majority voting over interconnected propositions," Working Paper Series in Economics 51, Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering.
  9. Carlos Hervés-Beloso & Claudia Meo & Emma Moreno-García, 2014. "Information and size of coalitions," Economic Theory, Springer, vol. 55(3), pages 545-563, April.

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:joecth:v:51:y:2012:i:1:p:191-212. 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.