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Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise…

Physics and Society · Physics 2025-10-02 David March-Pons , Romualdo Pastor-Satorras , M. Carmen Miguel

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

Physics and Society · Physics 2017-07-12 Liudmila Rozanova , Marian Boguna

In the age of technology, individuals accelerate their biased gathering of information which in turn leads to a population becoming extreme and more polarized. Here we study a partial differential equation model for opinion dynamics that…

Physics and Society · Physics 2024-02-08 Christian Koertje , Hiroki Sayama

We briefly introduce a new promising field of applications of statistical physics, opinion dynamics, where the systems at study are social groups or communities and the atoms/spins are the individuals (or agents) belonging to such groups.…

Statistical Mechanics · Physics 2017-08-23 Santo Fortunato

Individuals increasingly rely on social networking platforms to form opinions. However, these platforms typically aim to maximize engagement, which may not align with social good. In this paper, we introduce an opinion dynamics model where…

Theoretical Economics · Economics 2025-06-06 Ozan Candogan , Nicole Immorlica , Bar Light , Jerry Anunrojwong

In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by nonsymmetric interactions which define a coupled system of…

Physics and Society · Physics 2024-03-13 Sabrina Bonandin , Mattia Zanella

This paper investigates the asymptotic behavior of some common opinion dynamic models in a continuum of agents. We show that as long as the interactions among the agents are symmetric, the distribution of the agents' opinion converges. We…

Dynamical Systems · Mathematics 2016-08-11 Julien M. Hendrickx , Alex Olshevsky

We consider a class of models of opinion formation where the dissemination of individual opinions occurs through the spreading of local consensus and disagreement. We study the emergence of full collective consensus or maximal disagreement…

Physics and Society · Physics 2014-12-23 Andrés Chacoma , Damián H. Zanette

In this paper, we consider lightweight decentralised algorithms for achieving consensus in distributed systems. Each member of a distributed group has a private value from a fixed set consisting of, say, two elements, and the goal is for…

Probability · Mathematics 2013-11-20 James Cruise , Ayalvadi Ganesh

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that input, is paramount for carrying out coordinated…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Timothy Sorochkin , Alessio Franci , Naomi Ehrich Leonard

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

Physics and Society · Physics 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

Public opinion is subject to peer interaction via social networks and external pressure from the media, advertising, and other actors. In this paper, we study the interaction between external and peer influence on the stochastic opinion…

Physics and Society · Physics 2024-07-31 Niels Van Santen , Jan Ryckebusch , Luis E. C. Rocha

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

The process by which new ideas, innovations, and behaviors spread through a large social network can be thought of as a networked interaction game: Each agent obtains information from certain number of agents in his friendship neighborhood,…

Computer Science and Game Theory · Computer Science 2012-08-28 Javad Ghaderi , R. Srikant

Processes of individual attitude formation and their macroscopic consequences have become an intriguing research topic, and agent-based models of opinion formation have been proposed to understand this phenomenon. This study conducted an…

Physics and Society · Physics 2020-11-30 Hirofumi Takesue

Majority-vote model is a much-studied model for social opinion dynamics of two competing opinions. With the recent appreciation that our social network comprises a variety of different layers forming a multiplex network, a natural question…

Physics and Society · Physics 2019-05-22 Jeehye Choi , K. -I. Goh

We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

Multiagent Systems · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca