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On the safety of group manipulation

Author

Listed:
  • Hans Peters

    (Maastricht University)

  • Yuliya Veselova

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

Abstract

Groups of voters have more possibilities to influence the voting result than separate individuals. However, there is a problem with coordinating their actions. This paper considers manipulation by groups of voters who have the same preferences. If a voting result is more preferable for voters of a particular group provided that all its members use the same strategy (report the same insincere preference), then each of these members has an incentive to manipulate. If there is a chance that they will become worse off in case only a subset of the whole group manipulates, then manipulation is unsafe. For several voting rules we study conditions on the numbers of voters and alternatives which allow for an unsafe manipulation or which make manipulation always safe.

Suggested Citation

  • Hans Peters & Yuliya Veselova, 2023. "On the safety of group manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 713-732, October.
    • Handle: RePEc:spr:sochwe:v:61:y:2023:i:3:d:10.1007_s00355-023-01469-z
    DOI: 10.1007/s00355-023-01469-z
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    References listed on IDEAS

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    1. Shmuel Nitzan, 1985. "The vulnerability of point-voting schemes to preference variation and strategic manipulation," Public Choice, Springer, vol. 47(2), pages 349-370, January.
    2. Arkadii Slinko & Shaun White, 2014. "Is it ever safe to vote strategically?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 403-427, August.
    3. Maus, Stefan & Peters, Hans & Storcken, Ton, 2007. "Anonymous voting and minimal manipulability," Journal of Economic Theory, Elsevier, vol. 135(1), pages 533-544, July.
    4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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