IDEAS home Printed from https://ideas.repec.org/a/spr/jclass/v38y2021i2d10.1007_s00357-020-09378-x.html
   My bibliography  Save this article

Alternative Axioms in Group Identification Problems

Author

Listed:
  • Federico Fioravanti

    (Universidad Nacional del Sur, CONICET)

  • Fernando Tohmé

    (Universidad Nacional del Sur, CONICET)

Abstract

Group identification problems are introduced as the issue of classifying the members of a group in terms of the opinions of their potential members. This involves a finite set of agents N = {1, 2, … , n}, each one having an opinion about which agents should be classified as belonging to a specific subgroup J. A Collective Identity Function (CIF) aggregates those opinions yielding the class of members deemed J. A social planner postulate axioms, intended to ensure fair and socially desirable outcomes, characterizing different CIFs. We postulate axioms (classical and different to the ones found in the literature) constraining the spheres of influence of the agents. We show that some of them lead to different characterizations of the CIFs while in another instance we find an impossibility result.

Suggested Citation

  • Federico Fioravanti & Fernando Tohmé, 2021. "Alternative Axioms in Group Identification Problems," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 353-362, July.
    • Handle: RePEc:spr:jclass:v:38:y:2021:i:2:d:10.1007_s00357-020-09378-x
    DOI: 10.1007/s00357-020-09378-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00357-020-09378-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00357-020-09378-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    2. Wonki Jo Cho & Alejandro Saporiti, 2015. "Incentives, Fairness, and Efficiency in Group Identification," Economics Discussion Paper Series 1501, Economics, The University of Manchester.
    3. Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
    4. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    5. Dimitrov, D.A. & Sung, S.C., 2003. "On the Axiomatic Characterization of "Who is a J?"," Discussion Paper 2003-89, Tilburg University, Center for Economic Research.
    6. 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.
    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


    Cited by:

    1. Cailloux, Olivier & Hervouin, Matthieu & Ozkes, Ali I. & Sanver, M. Remzi, 2024. "Classification aggregation without unanimity," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 6-9.
    2. Federico Fioravanti, 2024. "Fuzzy Classification Aggregation," Papers 2402.17620, arXiv.org, revised Aug 2024.
    3. Federico Fioravanti, 2024. "Fuzzy Classification Aggregation," Working Papers 312, Red Nacional de Investigadores en Economía (RedNIE).
    4. Federico Fioravanti, 2024. "Expert Classification Aggregation," Papers 2409.11033, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Federico Fioravanti & Fernando Tohm'e, 2019. "Alternative Axioms in Group Identification Problems," Papers 1912.05961, arXiv.org.
    2. John Craven, 2023. "Self-designation and group allocation," Theory and Decision, Springer, vol. 94(1), pages 121-133, January.
    3. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    4. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
    5. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    6. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012. "Separability and aggregation of equivalence relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
    7. Cho, Wonki Jo, 2018. "Fairness in group identification," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 35-40.
    8. Alcantud, José Carlos R. & Laruelle, Annick, 2018. "Collective identity functions with status quo," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 159-166.
    9. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    10. Miguel A. Ballester & José Luis García-Lapresta, 2008. "A Model of Elitist Qualification," Group Decision and Negotiation, Springer, vol. 17(6), pages 497-513, November.
    11. Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng, 2007. "Procedural group identification," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 137-146, September.
    12. Balázs Sziklai, 2018. "How to identify experts in a community?," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 155-173, March.
    13. Stéphane Gonzalez & Annick Laruelle & Philippe Solal, 2019. "Dilemma with approval and disapproval votes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 497-517, October.
    14. Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 162-165.
    15. Maniquet, François & Mongin, Philippe, 2016. "A theorem on aggregating classifications," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 6-10.
    16. Franz Dietrich & Christian List, 2008. "Judgment aggregation without full rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 15-39, June.
    17. Stefano Vannucci, 2007. "Virtuous Circles and Contested Identities: on Collective Identification Procedures with Independent Qualified Certification," Department of Economics University of Siena 501, Department of Economics, University of Siena.
    18. Biung-Ghi Ju, 2010. "Individual powers and social consent: an axiomatic approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 571-596, April.
    19. Alejandro Saporiti, 2012. "A Proof for 'Who is a J' Impossibility Theorem," Economics Bulletin, AccessEcon, vol. 32(1), pages 494-501.
    20. Biung-Ghi Ju, 2013. "On the characterization of liberalism by Samet and Schmeidler," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 359-366, February.

    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:jclass:v:38:y:2021:i:2:d:10.1007_s00357-020-09378-x. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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.