# Properties of Multiwinner Voting Rules

arXiv: https://arxiv.org/abs/1506.02891 · HTML: https://mlsanity.com/paper/1506.02891/

## Key facts

- Cited by 20 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 9 Jun 2015.

## Built on by (most cited first, 20 of 20)

- [Social Choice Should Guide AI Alignment in Dealing with Diverse Human Feedback](https://mlsanity.com/paper/2404.10271/) (2024)
- [LLM Voting: Human Choices and AI Collective Decision Making](https://mlsanity.com/paper/2402.01766/) (2024)
- [Proportional Aggregation of Preferences for Sequential Decision Making](https://mlsanity.com/paper/2306.14858/) (2023)
- [Temporal Fairness in Multiwinner Voting](https://mlsanity.com/paper/2312.04417/) (2023)
- [On Meritocracy in Optimal Set Selection](https://mlsanity.com/paper/2102.11932/) (2021)
- [DiRe Committee : Diversity and Representation Constraints in Multiwinner Elections](https://mlsanity.com/paper/2107.07356/) (2021)
- [Core-Stable Committees under Restricted Domains](https://mlsanity.com/paper/2108.01987/) (2021)
- [Egalitarian Judgment Aggregation](https://mlsanity.com/paper/2102.02785/) (2021)
- [Subset Selection Based On Multiple Rankings in the Presence of Bias: Effectiveness of Fairness Constraints for Multiwinner Voting Score Functions](https://mlsanity.com/paper/2306.09835/) (2023)
- [Multi-Group Proportional Representation in Retrieval](https://mlsanity.com/paper/2407.08571/) (2024)
- [Bribery as a Measure of Candidate Success: Complexity Results for Approval-Based Multiwinner Rules](https://mlsanity.com/paper/2104.09130/) (2021)
- [Long-term Data Sharing under Exclusivity Attacks](https://mlsanity.com/paper/2201.09137/) (2022)
- [Indivisible Participatory Budgeting under Weak Rankings](https://mlsanity.com/paper/2207.07981/) (2022)
- [Characterization of Group-Fair Social Choice Rules under Single-Peaked Preferences](https://mlsanity.com/paper/2207.07984/) (2022)
- [Selecting the Most Conflicting Pair of Candidates](https://mlsanity.com/paper/2405.05870/) (2024)
- [A Linear Theory of Multi-Winner Voting](https://mlsanity.com/paper/2503.03082/) (2025)
- [What Voting Rules Actually Do: A Data-Driven Analysis of Multi-Winner Voting](https://mlsanity.com/paper/2508.06454/) (2025)
- [Most Equitable Voting Rules](https://mlsanity.com/paper/2205.14838/) (2022)
- [Data as Voters: Core Set Selection Using Approval-Based Multi-Winner Voting](https://mlsanity.com/paper/2304.09995/) (2023)
- [Efficient Portfolio Selection through Preference Aggregation with Quicksort and the Bradley--Terry Model](https://mlsanity.com/paper/2504.16093/) (2025)

## 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.