IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v26y2005i3p607-617.html
   My bibliography  Save this article

Winning probabilities in a pairwise lottery system with three alternatives

Author

Listed:
  • Frederick Chen
  • Jac Heckelman

Abstract

The pairwise lottery system is a multiple round voting procedure which chooses by lot a winner from a pair of alternatives to advance to the next round where in each round the odds of selection are based on each alternative’s majority rule votes. We develop a framework for determining the asymptotic relative likelihood of the lottery selecting in the final round the Borda winner, Condorcet winner, and Condorcet loser for the three alternative case. We also show the procedure is equivalent to a Borda lottery when only a single round of voting is conducted. Finally, we present an alternative voting rule which yields the same winning probabilities as the pairwise lottery in the limiting case as the number of rounds of the pairwise lottery becomes large. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Frederick Chen & Jac Heckelman, 2005. "Winning probabilities in a pairwise lottery system with three alternatives," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 607-617, October.
    • Handle: RePEc:spr:joecth:v:26:y:2005:i:3:p:607-617
    DOI: 10.1007/s00199-004-0539-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-004-0539-8
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-004-0539-8?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 search for a different version of it.

    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:joecth:v:26:y:2005:i:3:p:607-617. 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.