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Is it ever safe to vote strategically?

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  • Arkadii Slinko
  • Shaun White

Abstract

There are many situations in which mis-coordinated strategic voting can leave strategic voters worse off than they would have been had they not tried to strategise. We analyse the simplest of such scenarios, in which a set of strategic voters all have the same sincere preferences and all contemplate casting the same strategic vote, while all other voters are not strategic. Most mis-coordinations in this framework can be classified as instances of either strategic overshooting (too many voted strategically) or strategic undershooting (too few). If mis-coordination can result in strategic voters ending up worse off than they would have been had they all just voted sincerely, we call the strategic vote unsafe. We show that under every onto and non-dictatorial social choice rule there exist circumstances where a voter has an incentive to cast a safe strategic vote. We extend the Gibbard–Satterthwaite Theorem by proving that every onto and non-dictatorial social choice rule can be individually manipulated by a voter casting a safe strategic vote. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:2:p:403-427
    DOI: 10.1007/s00355-013-0785-4
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    References listed on IDEAS

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    1. Geoffrey Pritchard & Arkadii Slinko, 2006. "On the Average Minimum Size of a Manipulating Coalition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 263-277, October.
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    Cited by:

    1. Elkind, Edith & Grandi, Umberto & Rossi, Francesca & Slinko, Arkadii, 2020. "Cognitive hierarchy and voting manipulation in k-approval voting," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 193-205.
    2. Haris Aziz & Alexander Lam, 2021. "Obvious Manipulability of Voting Rules," Papers 2111.01983, arXiv.org, revised Jun 2022.
    3. 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.
    4. Julia Grundner, 2018. "Governance in Africa: Convergence or Divergence?," Economics Bulletin, AccessEcon, vol. 38(1), pages 71-88.

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