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Properties of multiwinner voting rules

Author

Listed:
  • Edith Elkind

    (University of Oxford)

  • Piotr Faliszewski

    (AGH University)

  • Piotr Skowron

    (University of Oxford)

  • Arkadii Slinko

    (University of Auckland)

Abstract

A committee selection rule (or, multiwinner voting rule) is a mapping that takes a collection of strict preference rankings and a positive integer k as input, and outputs one or more subsets of candidates of size k. In this paper we consider committee selection rules that can be viewed as generalizations of single-winner scoring rules, including SNTV, Bloc, k-Borda, STV, as well as several variants of the Chamberlin–Courant rule and the Monroe rule and their approximations. We identify two natural broad classes of committee selection rules, and show that many of the existing rules belong to one or both of these classes. We then formulate a number of desirable properties of committee selection rules, and evaluate the rules we consider with respect to these properties.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:48:y:2017:i:3:d:10.1007_s00355-017-1026-z
    DOI: 10.1007/s00355-017-1026-z
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    References listed on IDEAS

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