IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-05200575.html
   My bibliography  Save this paper

An axiomatic characterization of the proportional threshold methods: a geometric approach

Author

Listed:
  • Susumu Cato

    (Institute of Social Science, University of Tokyo)

  • Stéphane Gonzalez

    (Université Jean Monnet, GATE Lyon-St-Etienne)

  • Eric Rémila

    (Université Jean Monnet, GATE Lyon-St-Etienne)

  • Philippe Solal

    (Université Jean Monnet, GATE Lyon-St-Etienne)

Abstract

This paper considers an electoral system in which voters may approve any subset of options. We introduce the class of proportional threshold methods that select the subset of options whose share of approvals in the population meets or exceeds a certain threshold. We provide an axiomatic characterization of these methods using a principle of consistency between populations and profiles of approval voting ballots. A distinctive feature of our approach is to provide a geometric proof of this characterization result.

Suggested Citation

  • Susumu Cato & Stéphane Gonzalez & Eric Rémila & Philippe Solal, 2025. "An axiomatic characterization of the proportional threshold methods: a geometric approach," Post-Print hal-05200575, HAL.
    • Handle: RePEc:hal:journl:hal-05200575
    DOI: 10.1007/s00355-025-01618-6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:hal:journl:hal-05200575. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.