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We establish that all strategy-proof social choice rules in strict preference domains follow necessarily a two-step procedure. In the first step, agents are asked to reveal some specific information about their preferences. Afterwards, a…

Theoretical Economics · Economics 2023-04-26 Jorge Alcalde-Unzu , Marc Vorsatz

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

We characterize the class of committee scoring rules that satisfy the fixed-majority criterion. In some sense, the committee scoring rules in this class are multiwinner analogues of the single-winner Plurality rule, which is uniquely…

Computer Science and Game Theory · Computer Science 2016-03-01 Piotr Faliszewski , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

Actual individual preferences are neither complete (=total) nor antisymmetric in general, so that at least every quasi-order must be an admissible input to a satisfactory choice rule. It is argued that the traditional notion of…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

A social decision rule (SDR) is any non-empty set-valued map that associates any profile of individual preferences with the set of (winning) alternatives. An SDR is Condorcet-consistent if it selects the set of Condorcet winners whenever…

Computer Science and Game Theory · Computer Science 2021-11-30 Aurelien Mekuko Yonta , Matias Núñez , Issofa Moyouwou , Nicolas Gabriel Andjiga

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

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…

Computer Science and Game Theory · Computer Science 2015-06-10 Edith Elkind , Piotr Faliszewski , Piotr Skowron , Arkadii Slinko

To understand and summarize approval preferences and other binary evaluation data, it is useful to order the items on an axis which explains the data. In a political election using approval voting, this could be an ideological left-right…

Computer Science and Game Theory · Computer Science 2024-05-08 Théo Delemazure , Chris Dong , Dominik Peters , Magdaléna Tydrichová

The social ranking is a recently proposed framework for evaluating the power of individuals according to the performance ranking of their coalitions. Although its origin can be traced to the classical power indices in simple games, social…

Theoretical Economics · Economics 2026-05-19 Takahiro Suzuki , Stefano Moretti , Rachel Ruellé

A method is given for quantitatively rating the social acceptance of different options which are the matter of a preferential vote. In contrast to a previous article, here the individual votes are allowed to be incomplete, that is, they…

Optimization and Control · Mathematics 2012-03-09 Rosa Camps , Xavier Mora , Laia Saumell

In party-approval multiwinner elections the goal is to allocate the seats of a fixed-size committee to parties based on the approval ballots of the voters over the parties. In particular, each voter can approve multiple parties and each…

Computer Science and Game Theory · Computer Science 2022-11-28 Théo Delemazure , Tom Demeulemeester , Manuel Eberl , Jonas Israel , Patrick Lederer

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

Many classification problems require decisions among a large number of competing classes. These tasks, however, are not handled well by general purpose learning methods and are usually addressed in an ad-hoc fashion. We suggest a general…

Artificial Intelligence · Computer Science 2007-05-23 Yair Even-Zohar , Dan Roth

We study the setting of single-winner elections with ordinal preferences where candidates might be members of \emph{alliances} (which may correspond to e.g., political parties, factions, or coalitions). However, we do not assume that…

Computer Science and Game Theory · Computer Science 2024-01-30 Grzegorz Pierczyński , Stanisław Szufa

The Gibbard-Satterthwaite theorem states that no unanimous and non-dictatorial voting rule is strategyproof. We revisit voting rules and consider a weaker notion of strategyproofness called not obvious manipulability that was proposed by…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam

We develop a novel framework that aims to create bridges between the computational social choice and the database management communities. This framework enriches the tasks currently supported in computational social choice with relational…

Databases · Computer Science 2018-05-14 Benny Kimelfeld , Phokion G. Kolaitis , Julia Stoyanovich

We consider a voting model, where a number of candidates need to be selected subject to certain feasibility constraints. The model generalises committee elections (where there is a single constraint on the number of candidates that need to…

Computer Science and Game Theory · Computer Science 2025-09-24 Tomáš Masařík , Grzegorz Pierczyński , Piotr Skowron

Perpetual voting was recently introduced as a framework for long-term collective decision making. In this framework, we consider a sequence of subsequent approval-based elections and try to achieve a fair overall outcome. To achieve…

Computer Science and Game Theory · Computer Science 2021-05-03 Martin Lackner , Jan Maly

Predicting the winner of an election is of importance to multiple stakeholders. To formulate the problem, we consider an independent sequence of categorical data with a finite number of possible outcomes in each. The data is assumed to be…

Applications · Statistics 2024-10-17 Soudeep Deb , Rishideep Roy , Shubhabrata Das

Coherent sets of desirable gamble sets is used as a model for representing an agents opinions and choice preferences under uncertainty. In this paper we provide some results about the axioms required for coherence and the natural extension…

Artificial Intelligence · Computer Science 2024-05-17 Catrin Campbell-Moore