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Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

Computer Science and Game Theory · Computer Science 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

We consider synchronous iterative voting, where voters are given the opportunity to strategically choose their ballots depending on the outcome deduced from the previous collective choices.We propose two settings for synchronous iterative…

Computer Science and Game Theory · Computer Science 2022-02-11 Benoît Kloeckner

The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper…

Optimization and Control · Mathematics 2020-11-24 Divya Raghavan , Sukavanam Nagarajan

A recent work by Hern\'andez et al. introduced a networked voting rule supported by a trust-based social network, where indications of possible representatives were based on individuals opinions. Individual contributions went beyond a…

Physics and Society · Physics 2020-07-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

We consider the possibility of designing an election method that eliminates the incentives for a voter to rank any other candidate equal to or ahead of his or her sincere favorite. We refer to these methods as satisfying the ``Strong…

Computer Science and Game Theory · Computer Science 2010-09-06 Alex Small

Voting methods are instrumental design elements of democracies. Citizens use them to express and aggregate their preferences to reach a collective decision. However, voting outcomes can be as sensitive to voting rules as they are to…

The Schulze method is a voting rule widely used in practice and enjoys many positive axiomatic properties. While it is computable in polynomial time, its straight-forward implementation does not scale well for large elections. In this…

Computer Science and Game Theory · Computer Science 2025-06-19 Theresa Csar , Martin Lackner , Reinhard Pichler

We analyse strategic, complete information, sequential voting with ordinal preferences over the alternatives. We consider several voting mechanisms: plurality voting and approval voting with deterministic or uniform tie-breaking rules. We…

Computer Science and Game Theory · Computer Science 2019-04-19 Oren Dean , Yakov Babichenko , Moshe Tennenholtz

In real-world elections where voters cast preference ballots, voters often provide only a partial ranking of the candidates. Despite this empirical reality, prior social choice literature frequently analyzes fairness criteria under the…

General Economics · Economics 2024-08-08 Adam Graham-Squire , Matthew I. Jones , David McCune

We consider the approval-based model of elections, and undertake a computational study of voting rules which select committees whose size is not predetermined. While voting rules that output committees with a predetermined number of winning…

Computer Science and Game Theory · Computer Science 2017-11-20 Piotr Faliszewski , Arkadii Slinko , Nimrod Talmon

We design a recursive measure of voting power based on partial as well as full voting efficacy. Classical measures, by contrast, incorporate solely full efficacy. We motivate our design by representing voting games using a division lattice…

Theoretical Economics · Economics 2022-05-25 Arash Abizadeh , Adrian Vetta

Errors are inevitable in the implementation of any complex process. Here we examine the effect of random errors on Single Transferable Vote (STV) elections, a common approach to deciding multi-seat elections. It is usually expected that…

Computers and Society · Computer Science 2020-11-10 Michelle Blom , Andrew Conway , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

In 1876, Lewis Carroll proposed a voting system in which the winner is the candidate who with the fewest changes in voters' preferences becomes a Condorcet winner---a candidate who beats all other candidates in pairwise majority-rule…

Computational Complexity · Computer Science 2007-05-23 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinions. In the classic model, it is assumed that all nodes have…

Probability · Mathematics 2021-01-28 Abraham Gutierrez , Sebastian Müller , Stjepan Šebek

Multi-winner voting plays a crucial role in selecting representative committees based on voter preferences. Previous research has predominantly focused on single-stage voting rules, which are susceptible to manipulation during preference…

Computer Science and Game Theory · Computer Science 2024-02-06 Shengjie Gong , Lingxiao Huang , Shuangping Huang , Yuyi Wang , Zhiqi Wang , Tao Xiao , Xiang Yan , Chunxue Yang

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

We initiate the work towards a comprehensive picture of the smoothed satisfaction of voting axioms, to provide a finer and more realistic foundation for comparing voting rules. We adopt the smoothed social choice framework, where an…

Theoretical Economics · Economics 2021-06-04 Lirong Xia

Influence among individuals is at the core of collective social phenomena such as the dissemination of ideas, beliefs or behaviors, social learning and the diffusion of innovations. Different mechanisms have been proposed to implement…

Physics and Society · Physics 2015-03-29 Toni Pérez , Juan Fernández-Gracia , Jose J. Ramasco , Víctor M. Eguíluz

Mechanism design is concerned with settings where a policymaker (or social planner) faces the problem of aggregating the announced preferences of multiple agents into a collective (or social), system-wide decision. One of the most important…

Multiagent Systems · Computer Science 2020-03-02 Mohammad Ali Javidian , Pooyan Jamshidi , Marco Valtorta , Rasoul Ramezanian

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