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Complex dynamical systems driven by the unravelling of information can be modelled effectively by treating the underlying flow of information as the model input. Complicated dynamical behaviour of the system is then derived as an output.…

Physics and Society · Physics 2019-11-05 Dorje C Brody

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

Probability · Mathematics 2021-07-13 Steven Heilman

Contributing to the toolbox for interpreting election results, we evaluate the robustness of election winners to random noise. We compare the robustness of different voting rules and evaluate the robustness of real-world election winners…

Computer Science and Game Theory · Computer Science 2022-08-30 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the…

Computer Science and Game Theory · Computer Science 2022-06-22 Junlin Wu , Andrew Estornell , Lecheng Kong , Yevgeniy Vorobeychik

Analyses of voting algorithms often overlook informational externalities shaping individual votes. For example, pre-polling information often skews voters towards candidates who may not be their top choice, but who they believe would be a…

Computer Science and Game Theory · Computer Science 2024-04-12 Yiling Chen , Jessie Finocchiaro

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

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

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

This study investigates adversarial attacks conducted to distort voter model dynamics in complex networks. Specifically, a simple adversarial attack method is proposed to hold the state of opinions of an individual closer to the target…

Physics and Society · Physics 2022-07-07 Katsumi Chiyomaru , Kazuhiro Takemoto

We propose a computational framework for modeling opinion dynamics in electoral competitions that combines two realistic features: voter memory and exogenous shocks. The population is represented by a fully-connected network of agents, each…

Physics and Society · Physics 2026-02-05 Jaime L. C. da C. Filho , Nuno Crokidakis

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

Computer Science and Game Theory · Computer Science 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

Democratic societies increasingly rely on communication networks to aggregate citizen preferences and information, yet these same networks can systematically mislead voters under certain conditions. We introduce an agent-based model that…

Physics and Society · Physics 2025-06-30 Hsuan-Wei Lee , Po-Kang Hsiao

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

In recent studies of political decision-making, apparently anomalous behavior has been observed on the part of voters, in which negative information about a candidate strengthens, rather than weakens, a prior positive opinion about the…

Artificial Intelligence · Computer Science 2013-06-12 William W. Cohen , David P. Redlawsk , Douglas Pierce

We study a model of electoral accountability and selection whereby heterogeneous voters aggregate incumbent politician's performance data into personalized signals through paying limited attention. Extreme voters' signals exhibit an…

Theoretical Economics · Economics 2023-04-05 Anqi Li , Lin Hu

Political polarization, fueled by public discourse and echo chambers, threatens the foundation of democratic elections. However, traditional one-dimensional opinion models -- assuming ``support for one party equals opposition to another''…

Physics and Society · Physics 2025-10-31 Ziqian Liu , Xin Wang , Junyu Lu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

Some argue that political stability is best served through a two-party system. This study refutes this. The author mathematically defines the stability and rigidity of electoral systems comprised of any quantity of electors and parties. In…

Economics · Quantitative Finance 2016-08-18 Michael Y. Levy

Political moderation, a key attractor in democratic systems, proves highly fragile under realistic information conditions. We develop a stochastic model of opinion dynamics to analyze how noise and differential susceptibility reshape the…

Physics and Society · Physics 2026-01-23 Renato Vieira dos Santos

The two most common types of electoral systems (ES) used in electing national legislatures are proportional representation and plurality voting. When they are evaluated, most often the arguments come from social choice theory and political…

Physics and Society · Physics 2024-11-27 Tomasz Raducha , Jarosław Klamut , Roger Cremades , Paul Bouman , Mateusz Wiliński
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