IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v65y2025i1d10.1007_s00355-024-01560-z.html
   My bibliography  Save this article

Two principles for two-person social choice

Author

Listed:
  • Olivier Cailloux

    (Université Paris-Dauphine, PSL Research University, CNRS, LAMSADE)

  • Matías Núñez

    (CREST, CNRS, École Polytechnique, GENES, ENSAE Paris, Institut Polytechnique de Paris)

  • M. Remzi Sanver

    (Université Paris-Dauphine, PSL Research University, CNRS, LAMSADE)

Abstract

We consider two-person ordinal collective choice from an axiomatic perspective. We identify two principles: minimal Rawlsianism (the chosen alternatives belong to the upper-half of both individuals’ preferences) and the equal loss principle (the chosen alternatives ensure that both individuals concede “as equally as possible” from their highest ranked alternative). The equal loss principle has variants of different strength, depending on the precise definition of “as equally as possible”. We consider all prominent ordinal two-person social choice rules of the literature and explore which of these principles they satisfy. Moreover, we show that minimal Rawlsianism is logically incompatible with one version of the equal loss principle that we call the minimal dispersion principle. On the other hand, there are social choice rules that satisfy the Rawlsian minimal dispersion principle where the minimal dispersion principle is restricted to alternatives within the upper-half of both individuals’ preferences.

Suggested Citation

  • Olivier Cailloux & Matías Núñez & M. Remzi Sanver, 2025. "Two principles for two-person social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 65(1), pages 69-89, August.
    • Handle: RePEc:spr:sochwe:v:65:y:2025:i:1:d:10.1007_s00355-024-01560-z
    DOI: 10.1007/s00355-024-01560-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-024-01560-z
    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/s00355-024-01560-z?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

    for a different version of it.

    More about this item

    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:spr:sochwe:v:65:y:2025:i:1:d:10.1007_s00355-024-01560-z. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.