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Priority Ranking and Consensus Formation

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Author Info

  • 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.

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File URL: http://dx.doi.org/10.1287/mnsc.24.16.1721
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Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 24 (1978)
Issue (Month): 16 (December)
Pages: 1721-1732

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Handle: RePEc:inm:ormnsc:v:24:y:1978:i:16:p:1721-1732

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Related research

Keywords: games/group decisions: voting/committees; utility/preference: theory; decision analysis;

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Cited by:
  1. Espin, Rafael & Fernandez, Eduardo & Mazcorro, Gustavo & Lecich, Maria Ines, 2007. "A fuzzy approach to cooperative n-person games," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1735-1751, February.
  2. Hanna Bury & Dariusz Wagner, 2009. "Group judgement with ties. A position-based approach," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 9-26.
  3. Moualek, Idir, 1997. "An interactive decision-making approach based on intelligent systems to redraw district boundaries in regional planning," European Journal of Operational Research, Elsevier, vol. 102(2), pages 347-363, October.
  4. Michel Truchon, 2005. "Aggregation of Rankings: a Brief Review of Distance-Based Rules," Cahiers de recherche 0534, CIRPEE.
  5. Kim, Soung Hie & Ahn, Byeong Seok, 1999. "Interactive group decision making procedure under incomplete information," European Journal of Operational Research, Elsevier, vol. 116(3), pages 498-507, August.
  6. Spyridakos, A. & Siskos, Y. & Yannacopoulos, D. & Skouris, A., 2001. "Multicriteria job evaluation for large organizations," European Journal of Operational Research, Elsevier, vol. 130(2), pages 375-387, April.
  7. Perez, J. & Barba-Romero, S., 1995. "Three practical criteria of comparison among ordinal preference aggregating rules," European Journal of Operational Research, Elsevier, vol. 85(3), pages 473-487, September.
  8. Cook, Wade D. & Kress, Moshe & Seiford, Lawrence M., 1997. "A general framework for distance-based consensus in ordinal ranking models," European Journal of Operational Research, Elsevier, vol. 96(2), pages 392-397, January.
  9. Jorge Alcalde-Unzu & Marc Vorsatz, 2013. "Measuring the cohesiveness of preferences: an axiomatic analysis," Social Choice and Welfare, Springer, vol. 41(4), pages 965-988, October.
  10. Jabeur, Khaled & Martel, Jean-Marc, 2007. "A collective choice method based on individual preferences relational systems (p.r.s.)," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1549-1565, March.

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