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Priority Ranking and Consensus Formation

Wade D. Cook and Lawrence Seiford
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Wade D. Cook: York University

Management Science, 1978, vol. 24, issue 16, 1721-1732

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.

Keywords: games/group decisions: voting/committees; utility/preference: theory; decision analysis (search for similar items in EconPapers)
Date: 1978
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Handle: RePEc:inm:ormnsc:v:24:y:1978:i:16:p:1721-1732