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More Borda Count Variations for Project Assesment

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Abstract

We introduce and analyze the following variants of the Borda rule: median Borda rule,geometric Borda rule, Litvak’s method as well as methods based on forming linear combinations of entries in the preference outranking matrix. The properties we focus upon are the elimination of the Condorcet loser as well as several consistency-type criteria.

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Article provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its journal AUCO Czech Economic Review.

Volume (Year): 2 (2008)
Issue (Month): 2 (September)
Pages: 109-122

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Handle: RePEc:fau:aucocz:au2008_109

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Keywords: Borda rule; median rule; Nash welfare function; outranking matrix; maximin rule; consistency;

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References

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  1. anonymous, 1982. "Communication," Management Science, INFORMS, vol. 28(11), pages 1350-1351, November.
  2. Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
  3. Gardenfors, Peter, 1976. "Manipulation of social choice functions," Journal of Economic Theory, Elsevier, vol. 13(2), pages 217-228, October.
  4. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
  5. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
  6. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
  7. anonymous, 1982. "Communication," Management Science, INFORMS, vol. 28(3), pages 337-337, March.
  8. Simpson, Paul B, 1969. "On Defining Areas of Voter Choice: Professor Tullock on Stable Voting," The Quarterly Journal of Economics, MIT Press, vol. 83(3), pages 478-90, August.
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Cited by:
  1. Hannu Salonen, 2012. "Aggregating And Updating Information," Discussion Papers 73, Aboa Centre for Economics.
  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.

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