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Strategic voting in multi-winner elections with approval balloting: a theory for large electorates

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  • Jean-François Laslier

    (Paris School of Economics and CNRS)

  • Karine Straeten

    (CNRS and Institute for Advanced Study in Toulouse)

Abstract

We propose a theory of strategic voting in multi-winner elections with approval balloting. With a tiny probability that any vote might be misrecorded, best responses involve voting by pairwise comparisons. Two candidates play a critical role: the weakest expected winner and the strongest expected loser. Expected winners are approved if and only if they are preferred to the strongest expected loser and expected losers are approved if and only if they are preferred to the weakest expected winner. At equilibrium, if any, a candidate is elected if and only if he is approved by at least half of the voters. With single-peaked preferences, an equilibrium always exists, in which the first candidates according to the majority tournament relation are elected. The theory is applied to individual data from the 2011 Regional Government election in Zurich.

Suggested Citation

  • Jean-François Laslier & Karine Straeten, 2016. "Strategic voting in multi-winner elections with approval balloting: a theory for large electorates," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 559-587, October.
    • Handle: RePEc:spr:sochwe:v:47:y:2016:i:3:d:10.1007_s00355-016-0983-y
    DOI: 10.1007/s00355-016-0983-y
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    References listed on IDEAS

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    7. D. Marc Kilgour, 2010. "Approval Balloting for Multi-winner Elections," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 105-124, Springer.
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    9. Jean-François Laslier, 2009. "The Leader rule: a model of strategic approval voting in a large electorate," Post-Print hal-00363218, HAL.
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    Cited by:

    1. Markus Brill & Jean-François Laslier & Piotr Skowron, 2018. "Multiwinner approval rules as apportionment methods," Journal of Theoretical Politics, , vol. 30(3), pages 358-382, July.
    2. Baujard, Antoinette & Gavrel, Frédéric & Igersheim, Herrade & Laslier, Jean-François & Lebon, Isabelle, 2018. "How voters use grade scales in evaluative voting," European Journal of Political Economy, Elsevier, vol. 55(C), pages 14-28.
    3. Joshua C. Yang & Marcin Korecki & Damian Dailisan & Carina I. Hausladen & Dirk Helbing, 2024. "LLM Voting: Human Choices and AI Collective Decision Making," Papers 2402.01766, arXiv.org.
    4. Francesco Sinopoli & Claudia Meroni, 2018. "A concept of sincerity for combinatorial voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 493-512, October.

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