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We analyse a generalisation of the Galam model of binary opinion dynamics in which iterative discussions take place in local groups of individuals and study the effects of random deviations from the group majority. The probability of a…

Physics and Society · Physics 2025-06-24 Gabor Toth

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

We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact through random matchings that couple multiple, time-varying…

Dynamical Systems · Mathematics 2025-12-23 Hsin-Lun Li

Social media sites are now becoming very important platforms for product promotion or marketing campaigns. Therefore, there is broad interest in determining ways to guide a site to react more positively to a product with a limited budget.…

Social and Information Networks · Computer Science 2020-06-22 Pinghua Xu , Wenbin Hu , Jia Wu , Weiwei Liu

We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the $q$-th power of the number of the…

Physics and Society · Physics 2023-11-01 Lucía Soledad Ramirez , Federico Vazquez , Maxi San Miguel , Tobias Galla

We propose the PageRank model of opinion formation and investigate its rich properties on real directed networks of Universities of Cambridge and Oxford, LiveJournal and Twitter. In this model the opinion formation of linked electors is…

Physics and Society · Physics 2012-10-11 Vivek Kandiah , Dima L. Shepelyansky

Many complex networks are described by directed links; in such networks, a link represents, for example, the control of one node over the other node or unidirectional information flows. Some centrality measures are used to determine the…

Physics and Society · Physics 2009-10-24 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

An opinion illusion refers to a phenomenon in social networks where agents may witness distributions of opinions among their neighbours that do not accurately reflect the true distribution of opinions in the population as a whole. A…

Computational Complexity · Computer Science 2025-02-21 Foivos Fioravantes , Abhiruk Lahiri , Antonio Lauerbach , Lluís Sabater , Marie Diana Sieper , Samuel Wolf

Dynamic social opinion models have been widely studied on undirected networks, and most of them are based on spin interaction models that produce a consensus. In reality, however, many networks such as Twitter and the World Wide Web are…

Physics and Society · Physics 2015-06-19 Bo Qu , Qian Li , Shlomo Havlin , H. Eugene Stanley , Huijuan Wang

The process by which new ideas, innovations, and behaviors spread through a large social network can be thought of as a networked interaction game: Each agent obtains information from certain number of agents in his friendship neighborhood,…

Computer Science and Game Theory · Computer Science 2012-08-28 Javad Ghaderi , R. Srikant

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

Computational Physics · Physics 2010-11-05 Lucas R. Peres , Jose F. Fontanari

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion…

Systems and Control · Computer Science 2019-09-20 Anton V. Proskurnikov , Roberto Tempo , Ming Cao , Noah E. Friedkin

The relationship between the topology of a network and specific types of dynamics unfolding in networks constitutes a subject of substantial interest. One type of dynamics that has attracted increasing attention because of its several…

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

Social and Information Networks · Computer Science 2016-03-29 Ajay Saini , Natasha Markuzon

This work is aimed at studying realistic social control strategies for social networks based on the introduction of random information into the state of selected driver agents. Deliberately exposing selected agents to random information is…

Social and Information Networks · Computer Science 2018-07-23 Marco Cremonini , Francesca Casamassima

Online social networks are used to diffuse opinions and ideas among users, enabling a faster communication and a wider audience. The way in which opinions are conditioned by social interactions is usually called social influence. Social…

Social and Information Networks · Computer Science 2019-07-03 Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo , Stefano Ponziani

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

The problem of analyzing the performance of networked agents exchanging evidence in a dynamic network has recently grown in importance. This problem has relevance in signal and data fusion network applications and in studying opinion and…

Social and Information Networks · Computer Science 2016-05-26 Ranga Dabarera , Kamal Premaratne , Manohar N. Murthi , Dilip Sarkar

Collective decision-making is a process by which a group of individuals determines a shared outcome that shapes societal dynamics; from innovation diffusion to organizational choices. A common approach to model these processes is using…

Physics and Society · Physics 2025-04-03 Maciej Doniec , Pratik Mullick , Parongama Sen , Katarzyna Sznajd-Weron
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