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Condorcet's principle and the strong no-show paradoxes

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  • Duddy, Conal

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.

Suggested Citation

  • Duddy, Conal, 2012. "Condorcet's principle and the strong no-show paradoxes," MPRA Paper 41527, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41527
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    References listed on IDEAS

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    6. Joaqui´n Pérez, 2001. "The Strong No Show Paradoxes are a common flaw in Condorcet voting correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 601-616.
    7. Josep Colomer, 2013. "Ramon Llull: from ‘Ars electionis’ to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 317-328, February.
    8. Dan Felsenthal & Nicolaus Tideman, 2013. "Varieties of failure of monotonicity and participation under five voting methods," Theory and Decision, Springer, vol. 75(1), pages 59-77, July.
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    12. Jerry S. Kelly & Donald E. Campbell, 2002. "Non-monotonicity does not imply the no-show paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 513-515.
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    More about this item

    Keywords

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

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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