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No Show Paradox in Condorcet k-voting Procedures

Author

Listed:
  • Joaquín Pérez

    (Universidad de Alcalá)

  • José L. Jimeno

    (Universidad de Alcalá)

  • Estefanía García

    (Universidad de Alcalá)

Abstract

In this paper we extend the negative known results about No Show Paradox in Condorcet voting functions and correspondences to the contexts of k-functions and k-correspondences, in which the outcome of the voting process is a unique k-committee (set of k candidates) or a family of k-committees. The main result of the paper states that for every Condorcet k-function and for every Condorcet k-correspondence, there are situations in which every optimistic or pessimistic voter with some specific preferences could manipulate the election by abstaining.

Suggested Citation

  • Joaquín Pérez & José L. Jimeno & Estefanía García, 2012. "No Show Paradox in Condorcet k-voting Procedures," Group Decision and Negotiation, Springer, vol. 21(3), pages 291-303, May.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:3:d:10.1007_s10726-010-9191-9
    DOI: 10.1007/s10726-010-9191-9
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    References listed on IDEAS

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    1. Salvador Barberà & Danilo Coelho, 2008. "How to choose a non-controversial list with k names," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 79-96, June.
    2. Gehrlein, William V., 1985. "The Condorcet criterion and committee selection," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 199-209, December.
    3. Thomas C. Ratliff, 2003. "Some startling inconsistencies when electing committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 433-454, December.
    4. 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.
    5. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
    6. José Jimeno & Joaquín Pérez & Estefanía García, 2009. "An extension of the Moulin No Show Paradox for voting correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 343-359, September.
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    Cited by:

    1. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    2. Ignacio García-Jurado & Luciano Méndez-Naya, 2019. "Subgame Perfection and the Rule of k Names," Group Decision and Negotiation, Springer, vol. 28(4), pages 805-825, August.
    3. Joaquín Pérez & José L. Jimeno & Estefanía García, 2015. "No Show Paradox and the Golden Number in Generalized Condorcet Voting Methods," Group Decision and Negotiation, Springer, vol. 24(3), pages 497-513, May.
    4. Eric Kamwa & Vincent Merlin, 2018. "Coincidence of Condorcet committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 171-189, January.

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