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We consider committee election of $k \geq 2$ (out of $m \geq k+1$) candidates, where the voters and the candidates are associated with locations on the real line. Each voter's cardinal preferences over candidates correspond to her distance…

Computer Science and Game Theory · Computer Science 2024-09-10 Dimitris Fotakis , Laurent Gourvès , Panagiotis Patsilinakos

We present an almost optimal algorithm for the classic Chamberlin-Courant multiwinner voting rule (CC) on single-peaked preference profiles. Given $n$ voters and $m$ candidates, it runs in almost linear time in the input size, improving the…

Computer Science and Game Theory · Computer Science 2023-01-02 Krzysztof Sornat , Virginia Vassilevska Williams , Yinzhan Xu

We focus on a generalization of the classic Minisum approval voting rule, introduced by Barrot and Lang (2016), and referred to as Conditional Minisum (CMS), for multi-issue elections with preferential dependencies. Under this rule, voters…

Computer Science and Game Theory · Computer Science 2025-06-10 Evangelos Markakis , Georgios Papasotiropoulos

A population of voters must elect representatives among themselves to decide on a sequence of possibly unforeseen binary issues. Voters care only about the final decision, not the elected representatives. The disutility of a voter is…

Computer Science and Game Theory · Computer Science 2020-06-16 Reshef Meir , Fedor Sandomirskiy , Moshe Tennenholtz

Motivated by civic problems such as participatory budgeting and multiwinner elections, we consider the problem of public good allocation: Given a set of indivisible projects (or candidates) of different sizes, and voters with different…

Computer Science and Game Theory · Computer Science 2021-10-26 Kamesh Munagala , Yiheng Shen , Kangning Wang , Zhiyi Wang

We introduce the notion of {\em Distance Restricted Manipulation}, where colluding manipulator(s) need to compute if there exist votes which make their preferred alternative win the election when their knowledge about the others' votes is a…

Computer Science and Game Theory · Computer Science 2020-11-30 Aditya Anand , Palash Dey

We introduce a general framework for exploring the problem of selecting a committee of representatives with the aim of studying a networked voting rule based on a decentralized large-scale platform, which can assure a strong accountability…

Physics and Society · Physics 2018-01-17 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

For a voting ensemble that selects an odd-sized subset of the ensemble classifiers at random for each example, applies them to the example, and returns the majority vote, we show that any number of voters may minimize the error rate over an…

Machine Learning · Computer Science 2021-04-27 Eric Bax

Recent works have studied the design of algorithms for selecting representative sortition panels. However, the most central question remains unaddressed: Do these panels reflect the entire population's opinion? We present a positive answer…

Computer Science and Game Theory · Computer Science 2024-06-05 Ioannis Caragiannis , Evi Micha , Jannik Peters

A voting rule decides on a probability distribution over a set of m alternatives, based on rankings of those alternatives provided by agents. We assume that agents have cardinal utility functions over the alternatives, but voting rules have…

Computer Science and Game Theory · Computer Science 2024-01-23 Soroush Ebadian , Anson Kahng , Dominik Peters , Nisarg Shah

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 study committee elections from a perspective of finding the most conflicting candidates, that is, candidates that imply the largest amount of conflict, as per voter preferences. By proposing basic axioms to capture this objective, we…

Computer Science and Game Theory · Computer Science 2024-05-10 Théo Delemazure , Łukasz Janeczko , Andrzej Kaczmarczyk , Stanisław Szufa

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

Computer Science and Game Theory · Computer Science 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

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

In this work we are concerned with the design of efficient mechanisms while eliciting limited information from the agents. First, we study the performance of sampling approximations in facility location games. Our key result is to show that…

Computer Science and Game Theory · Computer Science 2022-08-26 Ioannis Anagnostides , Dimitris Fotakis , Panagiotis Patsilinakos

The voting method, an ensemble approach for fundamental frequency estimation, is empirically known for its robustness but lacks thorough investigation. This paper provides a principled analysis and improvement of this technique. First, we…

Sound · Computer Science 2026-02-03 Junya Koguchi , Tomoki Koriyama

In the impartial selection problem, a subset of agents up to a fixed size $k$ among a group of $n$ is to be chosen based on votes cast by the agents themselves. A selection mechanism is impartial if no agent can influence its own chance of…

Computer Science and Game Theory · Computer Science 2024-08-06 Javier Cembrano , Svenja M. Griesbach , Maximilian J. Stahlberg

In peer selection agents must choose a subset of themselves for an award or a prize. As agents are self-interested, we want to design algorithms that are impartial, so that an individual agent cannot affect their own chance of being…

Computer Science and Game Theory · Computer Science 2020-05-01 Nicholas Mattei , Paolo Turrini , Stanislav Zhydkov

We analyse optimal voting weights in two-tier voting systems. In our model, the overall population (or union) is split in groups (or member states) of different sizes. The individuals comprising the overall population constitute the first…

Probability · Mathematics 2022-09-28 Werner Kirsch , Gabor Toth