IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2409.11033.html

Expert Classification Aggregation

Author

Listed:
  • Federico Fioravanti

Abstract

We consider the problem where a set of individuals has to classify $m$ objects into $p$ categories by aggregating the individual classifications, and no category can be left empty. An aggregator satisfies \emph{Expertise} if individuals are decisive either over the classification of a given object, or the classification into a given category. We show that requiring an aggregator to satisfy \emph{Expertise} (or variants of it) and be either unanimous or independent leads to numerous impossibility results.

Suggested Citation

  • Federico Fioravanti, 2024. "Expert Classification Aggregation," Papers 2409.11033, arXiv.org, revised Feb 2025.
    • Handle: RePEc:arx:papers:2409.11033
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2409.11033
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    3. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    4. Shohei Tamura & Shinji Ohseto, 2014. "Impartial nomination correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 47-54, June.
    5. Tamura, Shohei, 2016. "Characterizing minimal impartial rules for awarding prizes," Games and Economic Behavior, Elsevier, vol. 95(C), pages 41-46.
    6. 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.
    7. Maniquet, François & Mongin, Philippe, 2016. "A theorem on aggregating classifications," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 6-10.
    8. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    9. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    10. Ron Holzman & Hervé Moulin, 2013. "Impartial Nominations for a Prize," Econometrica, Econometric Society, vol. 81(1), pages 173-196, January.
    Full references (including those not matched with items on IDEAS)

    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. Fioravanti, Federico, 2025. "Fuzzy classification aggregation," Mathematical Social Sciences, Elsevier, vol. 135(C).
    2. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
    3. Jérémy Picot, 2012. "Random aggregation without the Pareto principle," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 1-13, March.
    4. John W. Patty & Elizabeth Maggie Penn, 2019. "A defense of Arrow’s independence of irrelevant alternatives," Public Choice, Springer, vol. 179(1), pages 145-164, April.
    5. Javier Cembrano & Felix Fischer & Max Klimm, 2023. "Improved Bounds for Single-Nomination Impartial Selection," Papers 2305.09998, arXiv.org.
    6. Andrew Mackenzie, 2020. "An axiomatic analysis of the papal conclave," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 713-743, April.
    7. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    8. Salvador Barberà, 2003. "A Theorem on Preference Aggregation," Working Papers 166, Barcelona School of Economics.
    9. John Craven, 2023. "Self-designation and group allocation," Theory and Decision, Springer, vol. 94(1), pages 121-133, January.
    10. 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.
    11. 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.
    12. Herrade Igersheim, 2005. "Extending Xu's results to Arrow''s Impossibility Theorem," Economics Bulletin, AccessEcon, vol. 4(13), pages 1-6.
    13. repec:ebl:ecbull:v:4:y:2005:i:13:p:1-6 is not listed on IDEAS
    14. Okumura, Yasunori, 2025. "Aggregating incomplete rankings," Mathematical Social Sciences, Elsevier, vol. 136(C).
    15. Javier Cembrano & Felix Fischer & Max Klimm, 2023. "Optimal Impartial Correspondences," Papers 2301.04544, arXiv.org.
    16. Antoinette Baujard, 2016. "Utilitarianism and anti-utilitarianism," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 40, pages 576-588, Edward Elgar Publishing.
    17. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    18. Bernholz, Peter, 1997. "Property rights, contracts, cyclical social preferences and the Coase theorem: A synthesis," European Journal of Political Economy, Elsevier, vol. 13(3), pages 419-442, September.
    19. Mariotti, Marco & Veneziani, Roberto, 2013. "On the impossibility of complete Non-Interference in Paretian social judgements," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1689-1699.
    20. Azam, Jean-Paul, 2008. "Macroeconomic Agenda for Fiscal Policy and Aid Effectiveness in Post-Conflict Countries," IDEI Working Papers 539, Institut d'Économie Industrielle (IDEI), Toulouse.
    21. Christian Seidl, 1990. "On the impossibility of a generalization of the libertarian resolution of the liberal paradox," Journal of Economics, Springer, vol. 51(1), pages 71-88, February.

    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    Statistics

    Access and download statistics

    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:arx:papers:2409.11033. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.