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Further Results on the Manipulability of Social Choice Rules—A Comparison of Standard and Favardin–Lepelley Types of Individual Manipulation

In: Evaluating Voting Systems with Probability Models

Author

Listed:
  • Fuad Aleskerov

    (National Research University Higher School of Economics
    Institute of Control Sciences of Russian Academy of Sciences)

  • Daniel Karabekyan

    (National Research University Higher School of Economics)

  • Alexander Ivanov

    (National Research University Higher School of Economics)

  • Vyacheslav Yakuba

    (National Research University Higher School of Economics
    Institute of Control Sciences of Russian Academy of Sciences)

Abstract

We study the problem of manipulation in voting and extend the individual manipulability results in Favardin and Lepelley (2006) for the case of multiple choice, impartial culture, and consider 3, 4, and, for some cases, 5 alternatives. For impartial culture, the results in general are similar to impartial anonymous culture case. For multiple choice and 3 alternatives, results are consistent only for some extension axioms, but for Leximax extension, the Hare and Inverse Borda's rules are among the least manipulable ones. For considered cases for 4 and 5 alternatives, Borda's rule is the least manipulable one for manipulability with reactions (Type IV in Favardin and Lepelley (2006) classification).

Suggested Citation

  • Fuad Aleskerov & Daniel Karabekyan & Alexander Ivanov & Vyacheslav Yakuba, 2021. "Further Results on the Manipulability of Social Choice Rules—A Comparison of Standard and Favardin–Lepelley Types of Individual Manipulation," Studies in Choice and Welfare, in: Mostapha Diss & Vincent Merlin (ed.), Evaluating Voting Systems with Probability Models, pages 231-249, Springer.
    • Handle: RePEc:spr:stcchp:978-3-030-48598-6_10
    DOI: 10.1007/978-3-030-48598-6_10
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    Cited by:

    1. Abdelhalim El Ouafdi & Dominique Lepelley & Jérôme Serais & Hatem Smaoui, 2022. "Comparing the manipulability of approval, evaluative and plurality voting with trichotomous preferences," SN Business & Economics, Springer, vol. 2(8), pages 1-22, August.

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