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Violations of Independence under Amendment and Plurality Rules with Anonymous Voters

Author

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  • Boniface Mbih

    (Université de Caen)

  • Issofa Moyouwou

    (Université de Yaoundé 1)

Abstract

Under the impartial anonymous culture assumption (IAC), we evaluate the proportion of anonymous profiles at which the amendment and plurality voting procedures violate the property of independence of irrelevant alternatives (IIA). We also examine the relation to single-peakedness of preferences and election of a Condorcet winner.

Suggested Citation

  • Boniface Mbih & Issofa Moyouwou, 2008. "Violations of Independence under Amendment and Plurality Rules with Anonymous Voters," Group Decision and Negotiation, Springer, vol. 17(4), pages 287-302, July.
    • Handle: RePEc:spr:grdene:v:17:y:2008:i:4:d:10.1007_s10726-007-9094-6
    DOI: 10.1007/s10726-007-9094-6
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    References listed on IDEAS

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    1. Dominique Lepelley & Boniface Mbih, 1997. "Strategic Manipulation in Committees Using the Plurality Rule: Alternative Concepts and Frequency Calculations," Group Decision and Negotiation, Springer, vol. 6(2), pages 119-138, March.
    2. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163, November.
    3. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    4. Pierre Favardin & Dominique Lepelley, 2006. "Some Further Results on the Manipulability of Social Choice Rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 485-509, June.
    5. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046, November.
    6. Lepelley, Dominique & Mbih, Boniface, 1987. "The proportion of coalitionally unstable situations under the plurality rule," Economics Letters, Elsevier, vol. 24(4), pages 311-315.
    7. Gehrlein, William V. & Fishburn, Peter C., 1976. "The probability of the paradox of voting: A computable solution," Journal of Economic Theory, Elsevier, vol. 13(1), pages 14-25, August.
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    Cited by:

    1. Moyouwou, Issofa & Tchantcho, Hugue, 2017. "Asymptotic vulnerability of positional voting rules to coalitional manipulation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 70-82.
    2. Aki Lehtinen, 2011. "A welfarist critique of social choice theory," Journal of Theoretical Politics, , vol. 23(3), pages 359-381, July.

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    More about this item

    Keywords

    Independence of irrelevant alternatives; Amendment rule; Plurality rule; Impartial anonymous culture;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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