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We investigate how robust approval-based multiwinner voting rules are to small perturbations in the votes. In particular, we consider the extent to which a committee can change after we add/remove/swap one approval, and we consider the…

Computer Science and Game Theory · Computer Science 2026-01-28 Piotr Faliszewski , Grzegorz Gawron , Bartosz Kusek

A model of the opinion dynamics underlying the political decision is proposed. The analysis is restricted to a bipolar scheme with a possible third political area. The interaction among voters is local but the final decision strongly…

Physics and Society · Physics 2007-05-23 Filippo Caruso , Paolo Castorina

In recent years online social networks have become increasingly prominent in political campaigns and, concurrently, several countries have experienced shock election outcomes. This paper proposes a model that links these two phenomena. In…

Theoretical Economics · Economics 2020-11-03 Edoardo Gallo , Alastair Langtry

Here we focus on the description of the mechanisms behind the process of information aggregation and decision making, a basic step to understand emergent phenomena in society, such as trends, information spreading or the wisdom of crowds.…

Physics and Society · Physics 2015-04-15 Víctor M. Eguíluz , N. Masuda , J. Fernández-Gracia

We consider voting rules in settings where voters' identities are difficult to verify. Voters can manipulate the process by casting multiple votes under different identities or abstaining from voting. Immunities to such manipulations are…

Theoretical Economics · Economics 2026-05-15 Agustin G. Bonifacio , Federico Fioravanti

Multi-winner approval-based voting has received considerable attention recently. A voting rule in this setting takes as input ballots in which each agent approves a subset of the available alternatives and outputs a committee of…

Computer Science and Game Theory · Computer Science 2024-02-15 Ioannis Caragiannis , Rob LeGrand , Evangelos Markakis , Emmanouil Pountourakis

Behavioral scientists have classically documented aversion to algorithmic decision aids, from simple linear models to AI. Sentiment, however, is changing and possibly accelerating AI helper usage. AI assistance is, arguably, most valuable…

Artificial Intelligence · Computer Science 2023-07-28 Nikolos Gurney , John H. Miller , David V. Pynadath

Election control considers the problem of an adversary who attempts to tamper with a voting process, in order to either ensure that their favored candidate wins (constructive control) or another candidate loses (destructive control). As…

Multiagent Systems · Computer Science 2017-11-27 Bryan Wilder , Yevgeniy Vorobeychik

In this paper, we consider the voter model with popularity bias. The influence of each node on its neighbors depends on its degree. We find the consensus probabilities and expected consensus times for each of the states. We also find the…

Physics and Society · Physics 2014-06-30 Babak Fotouhi , Michael G. Rabbat

Core stability is a natural and well-studied notion for group fairness in multi-winner voting, where the task is to select a committee from a pool of candidates. We study the setting where voters either approve or disapprove of each…

Computer Science and Game Theory · Computer Science 2025-12-19 Ratip Emin Berker , Emanuel Tewolde , Vincent Conitzer , Mingyu Guo , Marijn Heule , Lirong Xia

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

We study public persuasion when a sender communicates with a large audience that can fact-check at heterogeneous costs. The sender commits to a public information policy before the state is realized, but any verifiable claim she makes after…

Theoretical Economics · Economics 2025-10-07 Georgy Lukyanov , Samuel Safaryan

Integrity of elections is vital to democratic systems, but it is frequently threatened by malicious actors. The study of algorithmic complexity of the problem of manipulating election outcomes by changing its structural features is known as…

Computer Science and Game Theory · Computer Science 2020-07-21 Andrew Estornell , Sanmay Das , Edith Elkind , Yevgeniy Vorobeychik

We survey a host of results from discrete geometry that have bearing on the analysis of geometric models of approval voting. Such models view the political spectrum as a geometric space, with geometric constraints on voter preferences.…

Combinatorics · Mathematics 2019-06-28 Francis Edward Su , Shira Zerbib

This paper initiates the study of the testable implications of choice data in settings where agents have privacy preferences. We adapt the standard conceptualization of consumer choice theory to a situation where the consumer is aware of,…

Computer Science and Game Theory · Computer Science 2014-01-03 Rachel Cummings , Federico Echenique , Adam Wierman

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

Participatory budgeting, as a paradigm for democratic innovations, engages citizens in the distribution of a public budget to projects, which they propose and vote for implementation. So far, voting algorithms have been proposed and studied…

Multiagent Systems · Computer Science 2024-10-30 Sajan Maharjan , Srijoni Majumdar , Evangelos Pournaras

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2020-11-06 Rediet Abebe , T-H. Hubert Chan , Jon Kleinberg , Zhibin Liang , David Parkes , Mauro Sozio , Charalampos E. Tsourakakis

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for…

Computer Science and Game Theory · Computer Science 2025-05-05 Daniel Halpern , Ariel D. Procaccia , Warut Suksompong

In an approval-based committee election, the task is to select a committee of up to $k$ candidates from a set of $m$ candidates based on the preferences of $n$ voters, each of whom approves a subset of the candidates. A central open…

Computer Science and Game Theory · Computer Science 2026-05-08 Patrick Becker , Matthias Greger , Dominik Peters
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