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The Impact of Indifferent Voters on the Likelihood of some Voting Paradoxes

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  • Vincent Merlin

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR1 - Université de Rennes 1 - UNIV-RENNES - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Fabrice Valognes

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR1 - Université de Rennes 1 - UNIV-RENNES - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

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Suggested Citation

  • Vincent Merlin & Fabrice Valognes, 2004. "The Impact of Indifferent Voters on the Likelihood of some Voting Paradoxes," Post-Print halshs-00069089, HAL.
  • Handle: RePEc:hal:journl:halshs-00069089
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00069089
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    References listed on IDEAS

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    1. Adrian Van Deemen, 1999. "The probability of the paradox of voting for weak preference orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 171-182.
    2. Van Newenhizen, Jill, 1992. "The Borda Method Is Most Likely to Respect the Condorcet Principle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 69-83, January.
    3. William Gehrlein, 2002. "Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences ," Theory and Decision, Springer, vol. 52(2), pages 171-199, March.
    4. Marc Feix & Dominique Lepelley & Vincent Merlin & Jean-Louis Rouet, 2004. "The probability of conflicts in a U.S. presidential type election," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 227-257, January.
    5. Fabrice Valognes & Vincent Merlin & Monica Tataru, 2002. "On the likelihood of Condorcet's profiles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 193-206.
    6. Fabrice Valognes & William V. Gehrlein, 2001. "Condorcet efficiency: A preference for indifference," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 193-205.
    7. Gehrlein, William V. & Lepelley, Dominique, 1998. "The Condorcet efficiency of approval voting and the probability of electing the Condorcet loser," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 271-283, April.
    8. Tataru, Maria & Merlin, Vincent, 1997. "On the relationship of the Condorcet winner and positional voting rules," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 81-90, August.
    9. Fishburn, Peter C. & Gehrlein, William V., 1980. "The paradox of voting : Effects of individual indifference and intransitivity," Journal of Public Economics, Elsevier, vol. 14(1), pages 83-94, August.
    10. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
    11. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    12. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    13. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
    14. repec:cup:apsrev:v:89:y:1995:i:01:p:137-144_09 is not listed on IDEAS
    15. Lepelley, Dominique & Martin, Mathieu, 2001. "Condorcet's paradox for weak preference orderings," European Journal of Political Economy, Elsevier, vol. 17(1), pages 163-177, March.
    16. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.
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    Citations

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    Cited by:

    1. Eric Kamwa & Vincent Merlin, 2018. "The Likelihood of the Consistency of Collective Rankings under Preferences Aggregation with Four Alternatives using Scoring Rules: A General Formula and the Optimal Decision Rule," Post-Print hal-01757742, HAL.
    2. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, vol. 69(2), pages 289-316, August.
    3. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.
    4. Michael Ackerman & Sul-Young Choi & Peter Coughlin & Eric Gottlieb & Japheth Wood, 2013. "Elections with partially ordered preferences," Public Choice, Springer, vol. 157(1), pages 145-168, October.
    5. Katharina Holzinger & Andrea Schneider & Klaus Zimmermann, 2011. "Minimizing the losers: regime satisfaction in multi-level systems," Constitutional Political Economy, Springer, vol. 22(4), pages 303-324, December.
    6. Gilbert Laffond & Jean Lainé, 2009. "Condorcet choice and the Ostrogorski paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 317-333, February.
    7. Eric Kamwa & Vincent Merlin, 2018. "The Likelihood of the Consistency of Collective Rankings under Preferences Aggregation with Four Alternatives using Scoring Rules: A General Formula and the Optimal Decision Rule," Working Papers hal-01757742, HAL.

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    Keywords

    indifferent voters; voting paradoxes;

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