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Online social networks have become an integral part of modern society, profoundly influencing how individuals form and exchange opinions across diverse domains ranging from politics to public health. The Friedkin-Johnsen model serves as a…

Social and Information Networks · Computer Science 2025-11-05 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

When communicating agents form opinions about a set of possible options, agreement and disagreement are both possible outcomes. Depending on the context, either can be desirable or undesirable. We show that for nonlinear opinion dynamics on…

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

Axelrod model is an opinion dynamics model such that each agent on a square lattice has a finite number of possible nominal opinions on a finite number of issues that are usually called features in the field. Moreover, its dynamics between…

Physics and Society · Physics 2026-05-07 X. Zou , H. F. Chau

We consider the following multi--level opinion spreading model on networks. Initially, each node gets a weight from the set [0..k-1], where such a weight stands for the individuals conviction of a new idea or product. Then, by proceeding to…

Social and Information Networks · Computer Science 2012-09-27 Sara Brunetti , Gennaro Cordasco , Luisa Gargano , Elena Lodi , Walter Quattrociocchi

Microbial colonies are experimental model systems for studying the colonization of new territory by biological species through range expansion. We study a generalization of the two-species Eden model, which incorporates local…

Biological Physics · Physics 2015-11-12 Jan-Timm Kuhr , Holger Stark

The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Peter C. W. Holdsworth , Mauro Sellitto

We recently proposed a model coupling the evolution of the opinions of the individual with the local network topology. The opinion dynamics is based on the Bounded Confidence model. The social networks is based on a group concept where each…

Physics and Society · Physics 2010-03-19 F. Gargiulo , S. Huet

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

We present a toy model of opinion spreading in a society which combines a self-reinforcing mechanism with diffusion. The relative strength of these two mechanisms - called the affectability of the system - is a free parameter of the model.…

Physics and Society · Physics 2022-01-26 Tomáš Fürst , Anna Minarovičová , Františka Sandroni , Jakub Dostál

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

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

A simple model for simulating tug of war game as varying the player number in a team is discussed to identify the slow pace of fast change. This model shows that a large number of information sources leads slow change for the system. Also,…

Physics and Society · Physics 2008-07-29 Woo-Sung Jung , Hie-Tae Moon , H. Eugene Stanley

This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

Physics and Society · Physics 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

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

Opinion formation has been gaining increasing research interests recently, and various models have been proposed. These models, however, have their limitations, among which noticeably include (i) it is generally assumed that adjacent nodes…

Physics and Society · Physics 2017-03-08 Yi Yu , Gaoxi Xiao

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable which depends on the tendency of the population, as well on its own trend characteristic. The influence of the…

Probability · Mathematics 2020-01-08 Manuel González-Navarrete , Rodrigo Lambert

In the study of social networks, a fundamental problem is that of influence maximization (IM): How can we maximize the collective opinion of individuals in a network given constrained marketing resources? Traditionally, the IM problem has…

Disordered Systems and Neural Networks · Physics 2016-09-30 Christopher Lynn , Daniel D. Lee

Individuals who interact with each other in social networks often exchange ideas and influence each other's opinions. A popular approach to study the spread of opinions on networks is by examining bounded-confidence models (BCMs), in which…

Physics and Society · Physics 2022-11-30 Unchitta Kan , Michelle Feng , Mason A. Porter

We present the result of a dual modeling of opinion network. The model complements the agent-based opinion models by attaching to the social agent (voters) network a political opinion (party) network having its own intrinsic mechanisms of…

Physics and Society · Physics 2015-06-04 Ru Wang , Qiuping Alexandre Wang

Online social networks provide a medium for citizens to form opinions on different societal issues, and a forum for public discussion. They also expose users to viral content, such as breaking news articles. In this paper, we study the…

Social and Information Networks · Computer Science 2022-04-11 Sijing Tu , Stefan Neumann
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