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Multi-winner voting is the process of selecting a fixed-size set of representative candidates based on voters' preferences. It occurs in applications ranging from politics (parliamentary elections) to the design of modern computer…

Computer Science and Game Theory · Computer Science 2022-11-22 Martin Lackner , Piotr Skowron

The related concepts of partisan belief systems, issue alignment, and partisan sorting are central to our understanding of politics. These phenomena have been studied using measures of alignment between pairs of topics, or how much…

Social and Information Networks · Computer Science 2025-01-14 Letizia Iannucci , Ali Faqeeh , Ali Salloum , Ted Hsuan Yun Chen , Mikko Kivelä

This paper considers the ranking problem of candidates for a certain position based on ballot papers filled by voters. We suggest a ranking procedure of alternatives using cooperative game theory methods. For this, it is necessary to…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Kondratev , Vladimir Mazalov

Constructive election control considers the problem of an adversary who seeks to sway the outcome of an electoral process in order to ensure that their favored candidate wins. We consider the computational problem of constructive election…

Computer Science and Game Theory · Computer Science 2019-12-02 Jasper Lu , David Kai Zhang , Zinovi Rabinovich , Svetlana Obraztsova , Yevgeniy Vorobeychik

We consider an agent community wishing to decide on several binary issues by means of issue-by-issue majority voting. For each issue and each agent, one of the two options is better than the other. However, some of the agents may be…

Computer Science and Game Theory · Computer Science 2022-07-12 Shiri Alouf-Heffetz , Laurent Bulteau , Edith Elkind , Nimrod Talmon , Nicholas Teh

We study the behavior of Range Voting and Normalized Range Voting with respect to electoral control. Electoral control encompasses attempts from an election chair to alter the structure of an election in order to change the outcome. We show…

Computer Science and Game Theory · Computer Science 2012-06-27 Curtis Menton

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

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work,…

Artificial Intelligence · Computer Science 2015-05-05 Palash Dey , Y. Narahari

Much research in electoral control -- one of the most studied form of electoral attacks, in which an entity running an election alters the structure of that election to yield a preferred outcome -- has focused on giving decision complexity…

Computer Science and Game Theory · Computer Science 2026-05-14 Huy Vu Bui , Michael C. Chavrimootoo , Kien T. Le , Son M. Nguyen

Measure what is measurable, and make measurable what is not so (Galileo Galilei). According to the above sentence we do not ask why we need to measure democracy but if it is possible to measure something which is not unequivocally defined.…

Physics and Society · Physics 2015-10-14 Jozef Sznajd

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

Optimization and Control · Mathematics 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites

Elections constitute a paradigm of decision-making problems that have puzzled experts of different disciplines for decades. We study two decision-making problems, where groups make decisions that impact only themselves as a group. In both…

Physics and Society · Physics 2014-01-21 Christian Borghesi , Laura Hernández , Rémi Louf , Fabrice Caparros

Can Large Language Models (LLMs) accurately predict election outcomes? While LLMs have demonstrated impressive performance in various domains, including healthcare, legal analysis, and creative tasks, their ability to forecast elections…

Artificial Intelligence · Computer Science 2025-04-07 Chenxiao Yu , Zhaotian Weng , Yuangang Li , Zheng Li , Xiyang Hu , Yue Zhao

Given a set of n balls each colored with a color, a ball is said to be majority, k-majority, plurality if its color class has size larger than half of the number of balls, has size at least k, has size larger than any other color class;…

Combinatorics · Mathematics 2012-03-08 Dániel Gerbner , Gyula O. H. Katona , Dömötör Pálvölgyi , Balázs Patkós

Candidate control of elections is the study of how adding or removing candidates can affect the outcome. However, the traditional study of the complexity of candidate control is in the model in which all candidates and votes are known up…

Computer Science and Game Theory · Computer Science 2016-06-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters

The controversies around the 2020 US presidential elections certainly casts serious concerns on the efficiency of the current voting system in representing the people's will. Is the naive Plurality voting suitable in an extremely polarized…

Theoretical Economics · Economics 2023-05-10 Karthik H. Shankar

Epistemic social choice aims at unveiling a hidden ground truth given votes, which are interpreted as noisy signals about it. We consider here a simple setting where votes consist of approval ballots: each voter approves a set of…

Computer Science and Game Theory · Computer Science 2021-12-09 Tahar Allouche , Jérôme Lang , Florian Yger

We consider the problem of subset selection where one is given multiple rankings of items and the goal is to select the highest ``quality'' subset. Score functions from the multiwinner voting literature have been used to aggregate rankings…

Computers and Society · Computer Science 2023-06-19 Niclas Boehmer , L. Elisa Celis , Lingxiao Huang , Anay Mehrotra , Nisheeth K. Vishnoi
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