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- Title
PRIORITY RANKING AND CONSENSUS FORMATION.
- Authors
Cook, Wade D.; Seiford, Lawrence M.
- 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.
- Subjects
RANKING; STANDARD deviations; ORDINAL measurement; CONSENSUS (Social sciences); DECISION making; MANAGEMENT science; GAME theory; MANAGEMENT games; MANAGEMENT committees; VOTING
- Publication
Management Science, 1978, Vol 24, Issue 16, p1721
- ISSN
0025-1909
- Publication type
Article
- DOI
10.1287/mnsc.24.16.1721