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We propose and analyze a mathematical model for the evolution of opinions on directed complex networks. Our model generalizes the popular DeGroot and Friedkin-Johnsen models by allowing vertices to have attributes that may influence the…

Probability · Mathematics 2024-01-11 Nicolas Fraiman , Tzu-Chi Lin , Mariana Olvera-Cravioto

A cooperative network model of sociological interest is examined to determine the sensitivity of the global dynamics to having a fraction of the members behaving uncooperatively, that is, being in conflict with the majority. We study a…

Physics and Society · Physics 2015-10-28 Pensri Pramukkul , Adam Svenkeson , Bruce J. West , Paolo Grigolini

Opinion formation in complex social networks may exhibit complex system dynamics even when based on some simplest system evolution models. An interesting and important issue is the effects of the initial state on the final steady-state…

Social and Information Networks · Computer Science 2020-04-02 Yi Yu , Vu X. Nguyen , Gaoxi Xiao

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

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

We explore a new mechanism to explain polarization phenomena in opinion dynamics in which agents evaluate alternative views on the basis of the social feedback obtained on expressing them. High support of the favored opinion in the social…

Physics and Society · Physics 2018-10-22 Sven Banisch , Eckehard Olbrich

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2018-01-29 Rediet Abebe , Jon Kleinberg , David Parkes , Charalampos E. Tsourakakis

A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant). The…

Physics and Society · Physics 2007-08-23 Jan Lorenz

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

Among different aspects of social networks, dynamics have been proposed to simulate how opinions can be transmitted. In this study, we propose a model that simulates the communication in an online social network, in which the posts are…

Social and Information Networks · Computer Science 2022-01-11 Henrique F. de Arruda , Felipe M. Cardoso , Guilherme F. de Arruda , Alexis R. Hernández , Luciano da F. Costa , Yamir Moreno

We analyse opinion diffusion in social networks, where a finite set of individuals is connected in a directed graph and each simultaneously changes their opinion to that of the majority of their influencers. We study the algorithmic…

Multiagent Systems · Computer Science 2020-03-31 Dmitry Chistikov , Grzegorz Lisowski , Mike Paterson , Paolo Turrini

In this work, we analyse and predict the stability of communities in complex networks. We use a variant of closeness centrality, known as profile closeness, to measure the loyalty of a member towards its community. We show that the profile…

Social and Information Networks · Computer Science 2022-07-14 Sruthi K S , Divya Sindhu Lekha , A Sreekumar , Kannan Balakrishnan

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

Social influence plays a significant role in shaping individual sentiments and actions, particularly in a world of ubiquitous digital interconnection. The rapid development of generative AI has engendered well-founded concerns regarding the…

Social and Information Networks · Computer Science 2025-09-09 Lane H. Rogers , Emma J. Reid , Robert A. Bridges

In this paper, we investigate a general nonlinear model of opinion dynamics in which both state-dependent susceptibility to persuasion and antagonistic interactions are considered. According to the existing literature and…

Optimization and Control · Mathematics 2018-01-29 Shidong Zhai , Wei Xing Zheng

Modeling human dynamics responsible for the formation and evolution of the so-called social networks - structures comprised of individuals or organizations and indicating connectivities existing in a community - is a topic recently…

Computers and Society · Computer Science 2007-05-23 Victor V. Kryssanov , Frank J. Rinaldo , Evgeny L. Kuleshov , Hitoshi Ogawa

The proliferation of public networks has enabled instantaneous and interactive communication that transcends temporal and spatial constraints. The vast amount of textual data on the Web has facilitated the study of quantitative analysis of…

Physics and Society · Physics 2024-04-22 Yasuko Kawahata

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

Humans do not always make rational choices, a fact that experimental economics is putting on solid grounds. The social context plays an important role in determining our actions, and often we imitate friends or acquaintances without any…

Physics and Society · Physics 2012-10-01 Daniele Vilone , José J. Ramasco , Angel Sánchez , Maxi San Miguel
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