Priority Ranking and Consensus Formation
AbstractThis 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 24 (1978)
Issue (Month): 16 (December)
games/group decisions: voting/committees; utility/preference: theory; decision analysis;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- 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.
- 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.
- 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.
- Michel Truchon, 2005. "Aggregation of Rankings: a Brief Review of Distance-Based Rules," Cahiers de recherche 0534, CIRPEE.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.