IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-04359650.html
   My bibliography  Save this paper

Negative bloc rule: An axiomatic and probabilistic analysis

Author

Listed:
  • Marin Gohard

    (UNICAEN - Université de Caen Normandie - NU - Normandie Université, CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

In single winner voting elections, the plurality rule is one of the most studied rules. Plurality has been extended to the field of multiwinner voting elections where instead of electing one candidate, k candidates have to be elected. This extension is called the Bloc rule and consists in voting for the k top preferred candidates. Antiplurality is another common voting rule, where voters vote for all the candidates except their last ranked candidate. In this paper, we introduce an extension of antiplurality in the field of multiwinner elections and call it Negative bloc rule. Axiomatic properties of this new rule are checked and compared to other multiwinner voting rules (k-plurality, k-antiplurality, k-Borda and Bloc). This axiomatic analysis is completed with a probabilistic approach on the similarity of results between Negative bloc rule and the four other rules. Finally, the behavior of Negative bloc rule according to some Condorcet properties is investigated.

Suggested Citation

  • Marin Gohard, 2023. "Negative bloc rule: An axiomatic and probabilistic analysis," Working Papers hal-04359650, HAL.
    • Handle: RePEc:hal:wpaper:hal-04359650
    Note: View the original document on HAL open archive server: https://hal.science/hal-04359650
    as

    Download full text from publisher

    File URL: https://hal.science/hal-04359650/document
    Download Restriction: no
    ---><---

    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:wpaper:hal-04359650. 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.