IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1606.04816.html
   My bibliography  Save this paper

Note on level r consensus

Author

Listed:
  • Nikolay L. Poliakov

Abstract

We show that the hierarchy of level $r$ consensus partially collapses. In particular, any profile $\pi\in \mathcal{P}$ that exhibits consensus of level $(K-1)!$ around $\succ_0$ in fact exhibits consensus of level $1$ around $\succ_0$.

Suggested Citation

  • Nikolay L. Poliakov, 2016. "Note on level r consensus," Papers 1606.04816, arXiv.org.
  • Handle: RePEc:arx:papers:1606.04816
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1606.04816
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2015. "Level $$r$$ r consensus and stable social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 805-817, December.
    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. Mor Nitzan & Shmuel Nitzan & Erel Segal-Halevi, 2018. "Flexible level-1 consensus ensuring stable social choice: analysis and algorithms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(3), pages 457-479, March.

    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. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    2. Mahajne, Muhammad & Volij, Oscar, 2022. "Pairwise consensus and the Borda rule," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 17-21.

    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:arx:papers:1606.04816. 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.