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Leadership in social groups is often a dynamic characteristic that emerges from interactions and opinion exchange. Empirical evidence suggests that individuals with strong opinions tend to gain influence, at the same time maintaining…

Physics and Society · Physics 2026-03-26 Martina Alutto , Lorenzo Zino , Karl H. Johansson , Angela Fontan

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

This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded confidence models by the update rule,…

Adaptation and Self-Organizing Systems · Physics 2011-06-02 P. Nyczka

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

Opinion dynamics is an important and very active area of research that delves into the complex processes through which individuals form and modify their opinions within a social context. The ability to comprehend and unravel the mechanisms…

Physics and Society · Physics 2025-03-19 Giacomo Albi , Elisa Calzola , Giacomo Dimarco

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

Social and Information Networks · Computer Science 2018-09-03 Narayani Vedam , Debasish Ghose

Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range…

Social and Information Networks · Computer Science 2024-09-18 Juan Paz , Camilo Rocha , Luis Tobòn , Frank Valencia

The massive amount of text data on the web has facilitated research on the quantitative analysis of public opinion, which could not be visualized earlier. In this paper, we propose a new opinion dynamics theory. This theory that is intended…

Physics and Society · Physics 2019-01-01 Akira Ishii , Yasuko Kawahata

This paper studies a recently proposed continuous-time distributed self-appraisal model with time-varying interactions among a network of $n$ individuals which are characterized by a sequence of time-varying relative interaction matrices.…

Optimization and Control · Mathematics 2017-03-17 Weiguo Xia , Ji Liu , Tamer Basar , Xi-Ming Sun

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

There are numerous examples of societies with extremely stable mix of contrasting opinions. We argue that this stability is a result of an interplay between society network topology adjustment and opinion changing processes. To support this…

Physics and Society · Physics 2015-05-13 Pawel Sobkowicz

We hereby propose a model of opinion dynamics where individuals update their beliefs because of interactions in acquaintances' group. The model exhibit a non trivial behavior that we discuss as a function of the main involved parameters.…

Physics and Society · Physics 2008-08-04 Timoteo Carletti , Simone Righi

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 introduce a utility-driven bounded-confidence model of opinion dynamics in which opinions associated with higher utility exert stronger social influence. In the regime where all agents belong to a single opinion cluster, we derive a…

Adaptation and Self-Organizing Systems · Physics 2026-05-22 Alex Siebenmorgen , Juan G. Restrepo

In the social, behavioral, and economic sciences, it is an important problem to predict which individual opinions will eventually dominate in a large population, if there will be a consensus, and how long it takes a consensus to form. This…

Physics and Society · Physics 2018-02-28 X. Flora Meng , Robert A. Van Gorder , Mason A. Porter

We develop a model of opinion dynamics where agents in a social network seek to learn a ground truth among a set of competing hypotheses. Agents in the network form private beliefs about such hypotheses by aggregating their neighbors'…

Physics and Society · Physics 2023-07-26 Diana Riazi , Giacomo Livan

We propose a continuous-time nonlinear model of opinion dynamics with utility-maximizing agents connected via a social influence network. A distinguishing feature of the proposed model is the inclusion of an opinion-dependent…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Prashil Wankhede , Nirabhra Mandal , Sonia Martínez , Pavankumar Tallapragada

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

Physics and Society · Physics 2012-05-29 S. R. Souza , S. Goncalves