IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v36y1990i11p1302-1310.html
   My bibliography  Save this article

A Data Envelopment Model for Aggregating Preference Rankings

Author

Listed:
  • Wade D. Cook

    (Faculty of Administrative Studies, York University, 4700 Keele Street, North York, Ontario, Canada M3J 1P3)

  • Moshe Kress

    (CEMA, P.O. Box 2250, Haifa, Israel)

Abstract

This paper presents a general model for aggregating votes from a preferential ballot. The thrust of the model is to accord each candidate a fair assessment in terms of his overall standing vis-a-vis first place, second place, ..., kth place votes. The form of the model is a combined index \Sigma j = 1 k W j v ij where v ij is the number of the jth place votes received by the ith candidate. The weights W j are assumed to form a monotonically decreasing sequence with W j - W j + 1 \ge d(j, \varepsilon ). These constraints correspond to the assurance region (AR) side constraints in the DEA framework. The properties of the model are examined in terms of this discrimination intensity function d, and in the special case that d(j, \varepsilon ) = \varepsilon , our model is shown to be equivalent to the consensus models of Borda and Kendall.

Suggested Citation

  • Wade D. Cook & Moshe Kress, 1990. "A Data Envelopment Model for Aggregating Preference Rankings," Management Science, INFORMS, vol. 36(11), pages 1302-1310, November.
  • Handle: RePEc:inm:ormnsc:v:36:y:1990:i:11:p:1302-1310
    DOI: 10.1287/mnsc.36.11.1302
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.36.11.1302
    Download Restriction: no

    More about this item

    Keywords

    voting; ranking; dea; consensus;

    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:inm:ormnsc:v:36:y:1990:i:11:p:1302-1310. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matthew Walls). General contact details of provider: http://edirc.repec.org/data/inforea.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.