IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v15y1998i3p351-358.html
   My bibliography  Save this article

The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules

Author

Listed:
  • William V. Gehrlein

    (Department of Business Administration, University of Delaware, Newark, DE 19716, USA)

Abstract

A weighted scoring rule, Rule , on three alternative elections selects the winner by awarding 1 point to each voter's first ranked candidate, points to the second ranked candidate, and zero to the third ranked candidate. The Condorcet winner is the candidate that would defeat each other candidate in a series of pairwise elections by majority rule. The Condorcet efficiency of Rule is the conditional probability that Rule selects the Condorcet winner, given that a Condorcet winner exists. Borda rule (=1/2) is the weighted scoring rule that maximizes Condorcet efficiency. The current study considers the conditional probability that Borda rule selects the Rule winner, given that Rule elects the Condorcet winner with a large electorate.

Suggested Citation

  • William V. Gehrlein, 1998. "The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 351-358.
    • Handle: RePEc:spr:sochwe:v:15:y:1998:i:3:p:351-358
    Note: Received: 21 August 1996 / Accepted: 7 January 1997
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00355/papers/8015003/80150351.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    File URL: http://link.springer.de/link/service/journals/00355/papers/8015003/80150351.ps.gz
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, vol. 33(1), pages 77-84, February.
    2. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    3. Gehrlein, William V. & Lepelley, Dominique, 2000. "The probability that all weighted scoring rules elect the same winner," Economics Letters, Elsevier, vol. 66(2), pages 191-197, February.
    4. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.

    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:15:y:1998:i:3:p:351-358. 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.