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Priority Ranking and Consensus Formation

Author

Listed:
  • Wade D. Cook

    (York University)

  • Lawrence M. Seiford

    (York University)

Abstract

This paper investigates the problem of combining ordinal preferences, expressed as priority vectors, to form a consensus. An axiomatic structure relating to the concept of distance between rankings is developed, uniqueness of the distance measure is proven and its form derived. Adopting the median ranking as a form of consensus, it is shown that this ranking can be determined, in the case of complete rankings, by solving a certain assignment problem. The results are compared and contrasted to earlier work due to Arrow, Kendall, Kemeny and Snell, and Bogart.

Suggested Citation

  • Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    • Handle: RePEc:inm:ormnsc:v:24:y:1978:i:16:p:1721-1732
    DOI: 10.1287/mnsc.24.16.1721
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