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In traditional voter models, opinion dynamics are driven by interactions between individuals, where an individual adopts the opinion of a randomly chosen neighbor. However, these models often fail to capture the emergence of entirely new…

Physics and Society · Physics 2025-10-27 Jeehye Choi , Byungjoon Min , Tobias Galla

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

Physics and Society · Physics 2008-05-23 Balazs Kozma , Alain Barrat

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

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin

Understanding nonlinear social contagion dynamics on dynamical networks, such as opinion formation, is crucial for gaining new insights into consensus and polarization. Similar to threshold-dependent complex contagions, the nonlinearity in…

Physics and Society · Physics 2025-04-24 Xunlong Wang , Feng Fu , Bin Wu

This paper considers the consensus problem of a novel opinion dynamics model with group pressure and self-confidence. Different with the most existing paper, the influence of friends of friends in a social network is taken into account,…

Information Theory · Computer Science 2024-06-21 Wenjuan Wang , Zhongmei Wang , Xinmin Song

Recent technological changes have increased connectivity between individuals around the world leading to higher frequency interactions between members of communities that would be otherwise distant and disconnected. This paper examines a…

Social and Information Networks · Computer Science 2020-01-13 Hossein Noorazar , Matthew Sottile , Kevin Vixie

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Franco Bagnoli , Fabio Franci , Raúl Rechtman

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

I develop a rather simple agent-based model to capture a co-evolution of opinion formation, political decision making and economic outcomes. I use this model to study how societies form opinions if their members have opposing interests.…

General Economics · Economics 2021-11-19 Patrick Mellacher

We consider an opinion dynamics model where, during random pair interactions, each agent modifies her opinions about both agents of the random pair and also about some other agents, chosen randomly. Moreover, each agent belongs to a single…

Multiagent Systems · Computer Science 2023-01-25 Guillaume Deffuant , Thibaut Roubin

The structure of a network can significantly influence the properties of the dynamical processes which take place on them. While many studies have been devoted to this influence, much less attention has been devoted to the interplay and…

Physics and Society · Physics 2008-01-10 Balazs Kozma , Alain Barrat

A simple model of opinion formation dynamics in which binary-state agents make up their opinions due to the influence of agents in a local neighborhood is studied using different network topologies. Each agent uses two different strategies,…

Statistical Mechanics · Physics 2009-11-11 A. O. Sousa , J. R. Sanchez

The question of how people form their opinion has fascinated economists and sociologists for quite some time. In many of the models, a group of people in a social network, each holding a numerical opinion, arrive at a shared opinion through…

Computer Science and Game Theory · Computer Science 2012-03-15 David Bindel , Jon Kleinberg , Sigal Oren

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

Digital communication has made the public discourse considerably more complex, and new actors and strategies have emerged as a result of this seismic shift. Aside from the often-studied interactions among individuals during opinion…

Physics and Society · Physics 2023-02-01 Luzie Helfmann , Nataša Djurdjevac Conrad , Philipp Lorenz-Spreen , Christof Schütte

Political polarization has been a subject that has attracted many studies in recent years. We have developed an opinion dynamics model with affective homophily effect and national social norm effect to describe this phenomenon. The time…

Physics and Society · Physics 2025-09-03 Zhang Xiaoming , Hu Yuzhong , Zhang Yiming

In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social networks, which takes into account a general connectivity distribution of the individuals. We consider opinion exchange processes inspired by the…

Physics and Society · Physics 2022-04-12 Nadia Loy , Matteo Raviola , Andrea Tosin

Modelling efforts in opinion dynamics have to a large extent ignored that opinion exchange between individuals can also have an effect on how willing they are to express their opinion publicly. Here, we introduce a model of public opinion…

Physics and Society · Physics 2020-10-14 Felix Gaisbauer , Eckehard Olbrich , Sven Banisch

We study the transient behavior of a gossip model, in which agents randomly interact pairwise over a weighted graph with two communities. Edges within each community have identical weights, different from the weights between communities. It…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Yu Xing , Karl H. Johansson