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We study multidimensional opinion dynamics under confirmation bias in social networks. Each agent holds a vector of correlated opinions across multiple topic layers. Peer interaction is modeled through a static, informationally symmetric…

Systems and Control · Electrical Eng. & Systems 2026-03-24 M. Hossein Abedinzadeh , Emrah Akyol

In the bounded confidence model the opinions of a set of agents evolve over discrete time steps. In each round an agent averages the opinion of all agents whose opinions are at most a certain threshold apart. Here we assume that the…

Physics and Society · Physics 2025-12-23 Sascha Kurz

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

In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties…

Physics and Society · Physics 2016-10-11 Antonio Parravano , Ascención Andina-Díaz , Miguel A Meléndez-Jiménez

People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions between people in the form of dyadic relationships, but…

Social and Information Networks · Computer Science 2021-08-11 Abigail Hickok , Yacoub Kureh , Heather Z. Brooks , Michelle Feng , Mason A. Porter

With the advent of online networks, societies are substantially more connected with individual members able to easily modify and maintain their own social links. Here, we show that active network maintenance exposes agents to confirmation…

Physics and Society · Physics 2016-11-23 V. Ngampruetikorn , Greg J Stephens

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

Analysis of PDEs · Mathematics 2020-11-10 Nastassia Duteil , Benedetto Piccoli

We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we sketch the structure of…

Physics and Society · Physics 2016-02-23 Adrian Carro , Raul Toral , Maxi San Miguel

Far beyond its relevance for commercial and political marketings, opinion formation and decision making processes are central for representative democracy, government functioning, and state organization. In the present report, a stochastic…

Physics and Society · Physics 2022-10-11 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

Physics and Society · Physics 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

We consider the phenomenon of opinion shift to the extreme reported in the social psychology literature. We argue that a good candidate to model this phenomenon can be a new variant of the bounded confidence (BC) model, the smooth BC model…

Other Condensed Matter · Physics 2007-05-23 Guillaume Deffuant , Frederic Amblard , Gerard Weisbuch

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how…

Adaptation and Self-Organizing Systems · Physics 2011-08-10 Sven Banisch , Ricardo Lima , Tanya Araújo

In this paper, we study the evolution of opinions over social networks with bounded confidence in social cliques. Node initial opinions are independently and identically distributed; at each time step, nodes review the average opinions of a…

Social and Information Networks · Computer Science 2021-07-13 Jiangbo Zhang , Deming Yuan , Lei Wang , Claudio Altafini , Guodong Shi

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

The weighted median mechanism provides a robust alternative to weighted averaging in opinion dynamics. Existing models, however, are predominantly formulated on pairwise interaction graphs, which limits their ability to represent…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Lingrui Chen , Xu Zhang , Fanpeng Song , Fang Wang , Cunquan Qu , Zhixin Liu

We present a model describing the temporal evolution of opinions due to interactions among a network of individuals. This Accept-Shift-Constrict (ASC) model is formulated in terms of coupled nonlinear differential equations for opinions and…

Physics and Society · Physics 2020-04-09 Michael Gabbay

In this work we study a continuous opinion dynamics model considering 3-agent interactions and group pressure. Agents interact in a fully-connected population, and two parameters govern the dynamics: the agents' convictions $\lambda$, that…

Physics and Society · Physics 2020-05-26 Nuno Crokidakis

The bounded confidence model represents a widely adopted framework for modeling opinion dynamics wherein actors have a continuous-valued opinion and interact and approach their positions in the opinion space only if their opinions are…

Physics and Society · Physics 2024-11-22 Irene Ferri , Emanuele Cozzo , Aleix Nicolas-Olive , Albert Diaz-Guilera , Luce Prignano