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On the probability that all decision rules select the same winner

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  • Merlin, V.
  • Tataru, M.
  • Valognes, F.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 33 (2000)
Issue (Month): 2 (March)
Pages: 183-207

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Handle: RePEc:eee:mateco:v:33:y:2000:i:2:p:183-207

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Web page: http://www.elsevier.com/locate/jmateco

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References

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  1. Dominique Lepelley, 1996. "Constant scoring rules, Condorcet criteria and single-peaked preferences (*)," Economic Theory, Springer, Springer, vol. 7(3), pages 491-500.
  2. Van Newenhizen, Jill, 1992. "The Borda Method Is Most Likely to Respect the Condorcet Principle," Economic Theory, Springer, Springer, vol. 2(1), pages 69-83, January.
  3. William V. Gehrlein, 1998. "The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules," Social Choice and Welfare, Springer, Springer, vol. 15(3), pages 351-358.
  4. Donald G. Saari, 1997. "Explaining Positional Voting Paradoxes: The Simple Case," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 1179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, Springer, vol. 33(1), pages 77-84, February.
  6. Gehrlein, William V. & Fishburn, Peter C., 1978. "Probabilities of election outcomes for large electorates," Journal of Economic Theory, Elsevier, Elsevier, vol. 19(1), pages 38-49, October.
  7. William Gehrlein & Peter Fishburn, 1983. "Scoring rule sensitivity to weight selection," Public Choice, Springer, Springer, vol. 40(3), pages 249-261, January.
  8. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, Elsevier, vol. 16(2), pages 310-334, December.
  9. Tataru, Maria & Merlin, Vincent, 1997. "On the relationship of the Condorcet winner and positional voting rules," Mathematical Social Sciences, Elsevier, Elsevier, vol. 34(1), pages 81-90, August.
  10. Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, Springer, vol. 47(2), pages 377-387, January.
  11. Donald G. Saari & Maria M. Tataru, 1999. "The likelihood of dubious election outcomes," Economic Theory, Springer, Springer, vol. 13(2), pages 345-363.
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Cited by:
  1. Michel Truchon, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche, CIRPEE 0414, CIRPEE.
  2. Merlin, Vincent & Valognes, Fabrice, 2004. "The impact of indifferent voters on the likelihood of some voting paradoxes," Mathematical Social Sciences, Elsevier, Elsevier, vol. 48(3), pages 343-361, November.
  3. Aaron Meyers & Michael Orrison & Jennifer Townsend & Sarah Wolff & Angela Wu, 2014. "Generalized Condorcet winners," Social Choice and Welfare, Springer, Springer, vol. 43(1), pages 11-27, June.
  4. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, Elsevier, vol. 54(3), pages 244-256, December.
  5. William Gehrlein, 2006. "The sensitivity of weight selection for scoring rules to profile proximity to single-peaked preferences," Social Choice and Welfare, Springer, Springer, vol. 26(1), pages 191-208, January.
  6. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, Springer, vol. 69(2), pages 289-316, August.
  7. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, Springer, vol. 33(1), pages 77-84, February.

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