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Approval Balloting for Multi-winner Elections

In: Handbook on Approval Voting

Author

Listed:
  • D. Marc Kilgour

    (Wilfrid Laurier University)

Abstract

Approval voting is a well-known voting procedure for single-winner elections. Voters approve of as many candidates as they like, and the candidate with the most approvals wins (Brams and Fishburn 1978, 1983, 2005). But Merrill and Nagel (1987) point out that there are many ways to aggregate approval votes to determine a winner, justifying a distinction between approval balloting, in which each voter submits a ballot that identifies the candidates the voter approves of, and approval voting, the procedure of ranking the candidates according to their total numbers of approvals.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stcchp:978-3-642-02839-7_6
    DOI: 10.1007/978-3-642-02839-7_6
    as

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    Citations

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    Cited by:

    1. 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.
    2. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    3. Pietro Speroni di Fenizio & Daniele A. Gewurz, 2019. "The space of all proportional voting systems and the most majoritarian among them," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 663-683, April.
    4. 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.
    5. Haris Aziz & Barton E. Lee, 2020. "The expanding approvals rule: improving proportional representation and monotonicity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 1-45, January.
    6. Duddy, Conal, 2014. "Electing a representative committee by approval ballot: An impossibility result," Economics Letters, Elsevier, vol. 124(1), pages 14-16.
    7. Piotr Faliszewski & Piotr Skowron & Arkadii Slinko & Nimrod Talmon, 2018. "Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 513-550, October.
    8. Kilgour, D. Marc, 2018. "Multi-Winner Voting/Votación con múltiples ganadores," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 36, pages 167-180, Enero.
    9. Jean-François Laslier & Karine van Der Straeten, 2015. "Strategic Voting under Committee Approval: A Theory," PSE Working Papers halshs-01168767, HAL.
    10. Edith Elkind & Piotr Faliszewski & Piotr Skowron & Arkadii Slinko, 2017. "Properties of multiwinner voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 599-632, March.
    11. Gilbert Laffond & Jean Lainé, 2012. "Searching for a Compromise in Multiple Referendum," Group Decision and Negotiation, Springer, vol. 21(4), pages 551-569, July.
    12. Martin Lackner & Piotr Skowron, 2017. "Consistent Approval-Based Multi-Winner Rules," Papers 1704.02453, arXiv.org, revised Oct 2019.
    13. Begoña Subiza & Josep E. Peris, 2017. "A Representative Committee by Approval Balloting," Group Decision and Negotiation, Springer, vol. 26(5), pages 1029-1040, September.
    14. Haris Aziz & Markus Brill & Vincent Conitzer & Edith Elkind & Rupert Freeman & Toby Walsh, 2017. "Justified representation in approval-based committee voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 461-485, February.
    15. Egor Ianovski, 2022. "Electing a committee with dominance constraints," Annals of Operations Research, Springer, vol. 318(2), pages 985-1000, November.
    16. Mostapha Diss & Eric Kamwa & Clinton Gubong Gassi, 2024. "On the price of diversity for multiwinner elections under (weakly) separable scoring rules," Working Papers hal-04390700, HAL.
    17. Alon Benhaim & Brett Hemenway Falk & Gerry Tsoukalas, 2021. "Scaling Blockchains: Can Committee-Based Consensus Help?," Papers 2110.08673, arXiv.org, revised Dec 2022.
    18. Martin Lackner & Jan Maly, 2020. "Approval-Based Shortlisting," Papers 2005.07094, arXiv.org, revised May 2022.
    19. Warut Suksompong & Nicholas Teh, 2022. "On Maximum Weighted Nash Welfare for Binary Valuations," Papers 2204.03803, arXiv.org, revised Apr 2022.
    20. Carlos Alós-Ferrer & Ðura-Georg Granić, 2012. "Two field experiments on Approval Voting in Germany," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 171-205, June.
    21. Subiza, Begoña & Peris, Josep E., 2014. "A Consensual Committee Using Approval Balloting," QM&ET Working Papers 14-5, University of Alicante, D. Quantitative Methods and Economic Theory.

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