mlsanityData to 7 Oct 2026

Properties of Multiwinner Voting Rules

arXiv 1506.02891 ↗First posted 9 Jun 2015cs.GTcited by 20

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Abstract (arXiv)

The goal of this paper is to propose and study properties of multiwinner voting rules which can be consider as generalisations of single-winner scoring voting rules. We consider SNTV, Bloc, k-Borda, STV, and several variants of Chamberlin--Courant's and Monroe's rules and their approximations. We identify two broad natural classes of multiwinner score-based rules, and show that many of the existing rules can be captured by one or both of these approaches. We then formulate a number of desirable properties of multiwinner rules, and evaluate the rules we consider with respect to these properties.

Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Jun 2015.

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Citing papers per year: 2021: 5; 2022: 4; 2023: 4; 2024: 4; 2025: 3.

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  1. 2024Social Choice Should Guide AI Alignment in Dealing with Diverse Human Feedbackcited by 95
  2. 2024LLM Voting: Human Choices and AI Collective Decision Makingcited by 47
  3. 2023Proportional Aggregation of Preferences for Sequential Decision Makingcited by 17
  4. 2023Temporal Fairness in Multiwinner Votingcited by 14
  5. 2021On Meritocracy in Optimal Set Selectioncited by 3
  6. 2021DiRe Committee : Diversity and Representation Constraints in Multiwinner Electionscited by 3
  7. 2021Core-Stable Committees under Restricted Domainscited by 3
  8. 2021Egalitarian Judgment Aggregationcited by 2
  9. 2023Subset Selection Based On Multiple Rankings in the Presence of Bias: Effectiveness of Fairness Constraints for Multiwinner Voting Score Functionscited by 2
  10. 2024Multi-Group Proportional Representation in Retrievalcited by 2
  11. 2021Bribery as a Measure of Candidate Success: Complexity Results for Approval-Based Multiwinner Rulescited by 1
  12. 2022Long-term Data Sharing under Exclusivity Attackscited by 1
8 more
  1. 2022Indivisible Participatory Budgeting under Weak Rankingscited by 1
  2. 2022Characterization of Group-Fair Social Choice Rules under Single-Peaked Preferencescited by 1
  3. 2024Selecting the Most Conflicting Pair of Candidatescited by 1
  4. 2025A Linear Theory of Multi-Winner Votingcited by 1
  5. 2025What Voting Rules Actually Do: A Data-Driven Analysis of Multi-Winner Votingcited by 1
  6. 2022Most Equitable Voting Rulescited by 0
  7. 2023Data as Voters: Core Set Selection Using Approval-Based Multi-Winner Votingcited by 0
  8. 2025Efficient Portfolio Selection through Preference Aggregation with Quicksort and the Bradley--Terry Modelcited by 0