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We study the task of electing egalitarian sequences of $\tau$ committees given a set of agents with additive utilities for candidates available on each of $\tau$ levels. We introduce several rules for electing an egalitarian committee…

Computer Science and Game Theory · Computer Science 2025-08-21 Paula Böhm , Robert Bredereck , Till Fluschnik

In a recently introduced model of successive committee elections (Bredereck et al., AAAI-20) for a given set of ordinal or approval preferences one aims to find a sequence of a given length of "best" same-size committees such that each…

Computer Science and Game Theory · Computer Science 2025-05-27 Pallavi Jain , Andrzej Kaczmarczyk

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

Computer Science and Game Theory · Computer Science 2019-10-15 Piotr Skowron

In many real-world applications of committee elections, the candidates are associated with certain attributes and the chosen committee is required to satisfy some constraints posed on the candidate attributes. For instance, when dress…

Computational Complexity · Computer Science 2024-05-09 Aizhong Zhou , Fengbo Wang , Jiong Guo

Electing a committee of size k from m alternatives (k < m) is an interesting problem under the multi-winner voting rules. However, very few committee selection rules found in the literature consider the coalitional possibilities among the…

Theoretical Economics · Economics 2023-08-08 Ritu Dutta , Rajnish Kumnar , Surajit Borkotokey

Assume $k$ candidates need to be selected. The candidates appear over time. Each time one appears, it must be immediately selected or rejected -- a decision that is made by a group of individuals through voting. Assume the voters use…

Computer Science and Game Theory · Computer Science 2022-05-09 Virginie Do , Matthieu Hervouin , Jérôme Lang , Piotr Skowron

In this paper, we study fairness in committee selection problems. We consider a general notion of fairness via stability: A committee is stable if no coalition of voters can deviate and choose a committee of proportional size, so that all…

Computer Science and Game Theory · Computer Science 2019-05-14 Yu Cheng , Zhihao Jiang , Kamesh Munagala , Kangning Wang

Picking sequences are well-established methods for allocating indivisible goods. Among the various picking sequences, recursively balanced picking sequences -- whereby each agent picks one good in every round -- are notable for guaranteeing…

Computer Science and Game Theory · Computer Science 2025-12-22 Karen Frilya Celine , Warut Suksompong , Sheung Man Yuen

We discuss voting scenarios in which the set of voters (agents) and the set of alternatives are the same; that is, voters select a single representative from among themselves. Such a scenario happens, for instance, when a committee selects…

Computer Science and Game Theory · Computer Science 2019-07-23 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

When selecting committees based on preferences of voters, a variety of different criteria can be considered. Two natural objectives are maximizing the utilitarian welfare (the sum of voters' utilities) and coverage (the number of…

Computer Science and Game Theory · Computer Science 2023-12-14 Markus Brill , Jannik Peters

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are to be selected. In particular we focus on the axiomatic property called extended…

Computer Science and Game Theory · Computer Science 2017-03-31 Haris Aziz , Shenwei Huang

We formulate the problem of eliciting agents' preferences with the goal of finding a Kemeny ranking as a Dueling Bandits problem. Here the bandits' arms correspond to alternatives that need to be ranked and the feedback corresponds to a…

Machine Learning · Computer Science 2023-12-20 Anne-Marie George , Christos Dimitrakakis

Electing a single committee of a small size is a classical and well-understood voting situation. Being interested in a sequence of committees, we introduce and study two time-dependent multistage models based on simple Plurality voting.…

Computational Complexity · Computer Science 2024-01-22 Robert Bredereck , Till Fluschnik , Andrzej Kaczmarczyk

We study the selection of agents based on mutual nominations, a theoretical problem with many applications from committee selection to AI alignment. As agents both select and are selected, they may be incentivized to misrepresent their true…

Computer Science and Game Theory · Computer Science 2025-10-23 Javier Cembrano , Felix Fischer , Max Klimm

We examine the following voting situation. A committee of $k$ people is to be formed from a pool of n candidates. The voters selecting the committee will submit a list of $j$ candidates that they would prefer to be on the committee. We…

Combinatorics · Mathematics 2014-02-05 Matt Davis , Michael E. Orrison , Francis Edward Su

We consider the problem of electing a committee of $k$ candidates, subject to some constraints as to what this committee is supposed to look like. In our framework, the candidates are given labels as an abstraction of a politician's…

Computer Science and Game Theory · Computer Science 2020-05-19 Egor Ianovski

Purpose: Multiwinner voting rules typically require full knowledge of voter preferences, which becomes impractical in large-scale or attention-limited settings. This paper investigates how accurately a winning committee can be approximated…

Computer Science and Game Theory · Computer Science 2026-04-01 Itay Asher Zimet , Shiri Alouf-Heffetz , Nimrod Talmon

We consider multi-agent systems where agents' preferences are aggregated via sequential majority voting: each decision is taken by performing a sequence of pairwise comparisons where each comparison is a weighted majority vote among the…

Artificial Intelligence · Computer Science 2012-04-18 Maria Pini , Francesca Rossi , Brent Venable , Toby Walsh

Committee scoring rules form a rich class of aggregators of voters' preferences for the purpose of selecting subsets of objects with desired properties, e.g., a shortlist of candidates for an interview, a representative collective body such…

Computer Science and Game Theory · Computer Science 2016-11-03 Piotr Skowron , Piotr Faliszewski , Arkadii Slinko

Polarization is a major concern for a well-functioning society. Often, mass polarization of a society is driven by polarizing political representation, even when the latter is easily preventable. The existing computational social choice…

Computer Science and Game Theory · Computer Science 2025-09-03 Chris Dong , Martin Bullinger , Tomasz Wąs , Larry Birnbaum , Edith Elkind
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