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Opinion and belief dynamics are a central topic in the study of social interactions through dynamical systems. In this work, we study a model where, at each discrete time, all the agents update their opinion as an average of their intrinsic…

Optimization and Control · Mathematics 2024-12-05 Javiera Gutiérrez-Ramírez , David Salas , Victor Verdugo

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

Physics and Society · Physics 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

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

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

Social and Information Networks · Computer Science 2019-12-10 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

Existing socio-psychological studies suggest that users of a social network form their opinions relying on the opinions of their neighbors. According to DeGroot opinion formation model, one value of particular importance is the asymptotic…

Social and Information Networks · Computer Science 2017-09-26 Victor Amelkin , Ambuj K. Singh

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing opinions directly, with the overall goal of steering the…

Physics and Society · Physics 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

We investigate different opinion formation models on adaptive network topologies. Depending on the dynamical process, rewiring can either (i) lead to the elimination of interactions between agents in different states, and accelerate the…

Physics and Society · Physics 2009-09-29 Cecilia Nardini , Balazs Kozma , Alain Barrat

Opinion formation is one of the most fascinating phenomena observed in human communities, and the ability to predict and to control the dynamics of this process is interesting from the theoretical as well as practical point of view.…

Physics and Society · Physics 2022-11-23 Krzysztof Domino , Jarosław Adam Miszczak

Here we developed a new conceptual, stochastic Heterogeneous Opinion-Status model (HOpS model), which is adaptive network model. The HOpS model admits to identify the main attributes of dynamics on networks and to study analytically the…

Physics and Society · Physics 2017-08-08 Liubov Tupikina

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

With the rapid growth of online social network sites (SNS), it has become imperative for platform owners and online marketers to investigate what drives content production on these platforms. However, previous research has found it…

Social and Information Networks · Computer Science 2018-11-28 Prasanta Bhattacharya , Tuan Q. Phan , Xue Bai , Edoardo Airoldi

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

We study concentration inequalities in gossip opinion dynamics over random graphs. In the model, a network is generated from a random graph model with independent edges, and agents interact pairwise randomly over the network. During the…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Yu Xing , Karl Henrik Johansson

This work extends the recent opinion dynamics model from Cheng et al., emphasizing the role of group pressure in consensus formation. We generalize the findings to incorporate social influence algorithms with general time-varying,…

Physics and Society · Physics 2025-03-14 Iryna Zabarianska , Anton V. Proskurnikov

We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leveraging our recent results on the emergence of agreement and…

Physics and Society · Physics 2023-11-07 Alessio Franci , Anastasia Bizyaeva , Shinkyu Park , Naomi Ehrich Leonard

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