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We consider approval-based committee voting, i.e. the setting where each voter approves a subset of candidates, and these votes are then used to select a fixed-size set of winners (committee). We propose a natural axiom for this setting,…

Multiagent Systems · Computer Science 2016-09-13 Haris Aziz , Markus Brill , Vincent Conitzer , Edith Elkind , Rupert Freeman , Toby Walsh

It is well known, by the Gibbard-Satterthwaite Theorem, that when there are more than two candidates, any non-dictatorial voting rule can be manipulated by untruthful voters. But how strong is the incentive to manipulate under different…

Computer Science and Game Theory · Computer Science 2026-02-27 Ratip Emin Berker , Vincent Conitzer , Eden Hartman , Jiayuan Liu , Caspar Oesterheld

Fairness in multiwinner elections, a growing line of research in computational social choice, primarily concerns the use of constraints to ensure fairness. Recent work proposed a model to find a diverse \emph{and} representative committee…

Computer Science and Game Theory · Computer Science 2022-11-28 Kunal Relia

In multiwinner approval elections with many candidates, voters may struggle to determine their preferences over the entire slate of candidates. It is therefore of interest to explore which (if any) fairness guarantees can be provided under…

Computer Science and Game Theory · Computer Science 2025-10-14 Drew Springham , Edith Elkind , Bart de Keijzer , Maria Polukarov

We consider a model where a subset of candidates must be selected based on voter preferences, subject to general constraints that specify which subsets are feasible. This model generalizes committee elections with diversity constraints,…

Computer Science and Game Theory · Computer Science 2026-02-10 Piotr Skowron

Motivated by the difficulty of specifying complete ordinal preferences over a large set of $m$ candidates, we study voting rules that are computable by querying voters about $t < m$ candidates. Generalizing prior works that focused on…

Computer Science and Game Theory · Computer Science 2024-09-30 Daniel Halpern , Safwan Hossain , Jamie Tucker-Foltz

When selecting multiple candidates based on approval preferences of agents, the proportional representation of agents' opinions is an important and well-studied desideratum. Existing criteria for evaluating the representativeness of…

Computer Science and Game Theory · Computer Science 2024-10-02 Markus Brill , Jonas Israel , Evi Micha , Jannik Peters

In approval-based committee (ABC) voting, the goal is to choose a subset of predefined size of the candidates based on the voters' approval preferences over the candidates. While this problem has attracted significant attention in recent…

Computer Science and Game Theory · Computer Science 2023-12-15 Martin Bullinger , Chris Dong , Patrick Lederer , Clara Mehler

In this paper, we experimentally compare major approval-based multiwinner voting rules. To this end, we define a measure of similarity between two equal-sized committees subject to a given election. Using synthetic elections coming from…

Computer Science and Game Theory · Computer Science 2024-01-23 Piotr Faliszewski , Martin Lackner , Krzysztof Sornat , Stanisław Szufa

The property of proportional representation in approval-based committee elections has appeared in the social choice literature for over a century, and is typically understood as avoiding the underrepresentation of minorities. However, we…

Data Structures and Algorithms · Computer Science 2021-09-14 Alfonso Cevallos , Alistair Stewart

Approval-Based Committee (ABC) rules are an important tool for choosing a fair set of candidates when given the preferences of a collection of voters. Though finding a winning committee for many ABC rules is NP-hard, natural variations for…

Computer Science and Game Theory · Computer Science 2025-08-06 Zack Fitzsimmons , Zohair Raza Hassan , Edith Hemaspaandra

We define and study obvious strategy-proofness with respect to a partition of the set of agents. It encompasses strategy-proofness as a special case when the partition is the coarsest one and obvious strategy-proofness when the partition is…

Theoretical Economics · Economics 2024-09-10 R. Pablo Arribillaga , Jordi Massó , Alejandro Neme

The goal of multi-winner elections is to choose a fixed-size committee based on voters' preferences. An important concern in this setting is representation: large groups of voters with cohesive preferences should be adequately represented…

Computer Science and Game Theory · Computer Science 2025-12-10 Luis Sánchez-Fernández , Edith Elkind , Martin Lackner , Norberto Fernández , Jesús A. Fisteus , Pablo Basanta Val , Piotr Skowron

We consider the allocation of indivisible objects when agents have preferences over their own allocations, but share the ownership of the resources to be distributed. Examples might include seats in public schools, faculty offices, and time…

Theoretical Economics · Economics 2021-09-07 Mustafa Oğuz Afacan , Inácio Bó

We model Monroe's and Chamberlin and Courant's multiwinner voting systems as a certain resource allocation problem. We show that for many restricted variants of this problem, under standard complexity-theoretic assumptions, there are no…

Computer Science and Game Theory · Computer Science 2013-01-29 Piotr Skowron , Piotr Faliszewski , Arkadii Slinko

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for…

Computer Science and Game Theory · Computer Science 2025-05-05 Daniel Halpern , Ariel D. Procaccia , Warut Suksompong

We study the complexity of deciding whether there is a tie in a given approval-based multiwinner election, as well as the complexity of counting tied winning committees. We consider a family of Thiele rules, their greedy variants,…

Computer Science and Game Theory · Computer Science 2023-05-04 Łukasz Janeczko , Piotr Faliszewski

We consider the algorithmic question of choosing a subset of candidates of a given size $k$ from a set of $m$ candidates, with knowledge of voters' ordinal rankings over all candidates. We consider the well-known and classic scoring rule…

Computer Science and Game Theory · Computer Science 2021-06-02 Kamesh Munagala , Zeyu Shen , Kangning Wang

We extend Approval voting to the settings where voters may have intransitive preferences. The major obstacle to applying Approval voting in these settings is that voters are not able to clearly determine who they should approve or…

Computer Science and Game Theory · Computer Science 2017-02-28 Yongjie Yang

Two distinct specifications of single peakedness as currently met in the relevant literature are singled out and discussed. Then, it is shown that, under both of those specifications, a voting rule as defined on a bounded distributive…

Economics · Quantitative Finance 2014-06-20 Ernesto Savaglio , Stefano Vannucci