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Evaluating the Degree of Manipulability of Certain Aggregation Procedures under Multiple Choices

Author

Listed:
  • Fuad Aleskerov

    (State University, Higher School of Economics, Moscow, Russia; Trapeznikov Institute of Control Sciences, RAS, Moscow, Russia)

  • Daniel Karabekyan

    (State University, Higher School of Economics, Moscow, Russia)

  • Remzi Sanver

    (Bilgi University, Istanbul, Turkey)

  • Vyacheslav Yakuba

    (Trapeznikov Institute of Control Sciences, RAS, Moscow, Russia)

Abstract

The problem of manipulation in voting is studied in the case of multi-valued choice. Well-known and new schemes of preferences extension enabling one to compare all possible social choices under an arbitrary number of alternatives are presented. The known indices of degree and efficiency of manipulation are described, and new indices are introduced. These preference extension schemes and indices are used for computer-aided evaluation of the degree and efficiency of manipulation of the known voting procedures allowing multi-valued choices. The results obtained are presented for five voting rules.

Suggested Citation

  • Fuad Aleskerov & Daniel Karabekyan & Remzi Sanver & Vyacheslav Yakuba, 2009. "Evaluating the Degree of Manipulability of Certain Aggregation Procedures under Multiple Choices," Journal of the New Economic Association, New Economic Association, issue 1-2, pages 37-61.
    • Handle: RePEc:nea:journl:y:2009:i:1-2:p:37-61
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    References listed on IDEAS

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    Cited by:

    1. Bednay, Dezső & Moskalenko, Anna & Tasnádi, Attila, 2019. "Dictatorship versus manipulability," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 72-76.
    2. Karabekyan, D., 2022. "On the stability of results for aggregation procedures," Journal of the New Economic Association, New Economic Association, vol. 57(5), pages 24-37.
    3. Yuliya A. Veselova, 2016. "Does Incomplete Information Reduce Manipulability?," HSE Working papers WP BRP 152/EC/2016, National Research University Higher School of Economics.
    4. Yuliya A. Veselova, 2020. "Does Incomplete Information Reduce Manipulability?," Group Decision and Negotiation, Springer, vol. 29(3), pages 523-548, June.

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    More about this item

    Keywords

    Manipulation; multiple choice; voting; social choice;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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