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Condorcet's principle and the strong no-show paradoxes

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  • Duddy, Conal
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    Abstract

    We consider two no-show paradoxes, in which a voter obtains a preferable outcome by abstaining from a vote. One arises when the casting of a ballot that ranks a candidate in first causes that candidate to lose the election. The other arises when a ballot that ranks a candidate in last causes that candidate to win. We show that when there are at least four candidates and when voters may express indifference, every voting rule satisfying Condorcet's principle must generate both of these paradoxes.

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    File URL: http://mpra.ub.uni-muenchen.de/41829/
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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41527.

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    Date of creation: 24 Sep 2012
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    Handle: RePEc:pra:mprapa:41527

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    Keywords: Condorcet; no show; paradox; abstention; voting; participation; positive involvement; negative involvement;

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    1. Gaertner,Wulf, 2006. "Domain Conditions in Social Choice Theory," Cambridge Books, Cambridge University Press, number 9780521028745, Fall.
    2. José Jimeno & Joaquín Pérez & Estefanía García, 2009. "An extension of the Moulin No Show Paradox for voting correspondences," Social Choice and Welfare, Springer, vol. 33(3), pages 343-359, September.
    3. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    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. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
    6. Dominique Lepelley & Vincent Merlin, 2001. "Scoring run-off paradoxes for variable electorates," Economic Theory, Springer, vol. 17(1), pages 53-80.
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