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This paper provides a model to investigate information spreading over cyber-social network of agents communicating with each other. The cyber-social network considered here comprises individuals and news agencies. Each individual holds a…

Social and Information Networks · Computer Science 2018-03-20 Yanbing Mao , Sadegh Bolouki , Emrah Akyol

The influence of node mobility on the convergence time of averaging gossip algorithms in networks is studied. It is shown that a small number of fully mobile nodes can yield a significant decrease in convergence time. A method is developed…

Networking and Internet Architecture · Computer Science 2011-06-22 Anand D. Sarwate , Alexandros G. Dimakis

Social networks often exert social pressure, causing individuals to adapt their expressed opinions to conform to their peers. An agent in such systems can be modeled as having a (true and unchanging) inherent belief while broadcasting a…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Jennifer Tang , Aviv Adler , Amir Ajorlou , Ali Jadbabaie

The convergence of the gossip process has been extensively studied; however, algorithms that generate a set of stochastic matrices, the infinite product of which converges to a rank-one matrix determined by a given weight vector, have been…

Optimization and Control · Mathematics 2025-02-28 Erkan Bayram , Mohamed-Ali Belabbas

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler

Public opinion is often affected by the presence of committed groups of individuals dedicated to competing points of view. Using a model of pairwise social influence, we study how the presence of such groups within social networks affects…

Physics and Society · Physics 2012-04-24 J. Xie , J. Emenheiser , M. Kirby , S. Sreenivasan , B. K. Szymanski , G. Korniss

Trust and distrust are common in the opinion interactions among agents in social networks, and they are described by the edges with positive and negative weights in the signed digraph, respectively. It has been shown in social psychology…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Lei Shi , Yuhua Cheng , Jinliang Shao , Xiaofan Wang , Hanmin Sheng

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

Can classical consensus models predict the group behavior of large language models (LLMs)? We examine multi-round interactions among LLM agents through the DeGroot framework, where agents exchange text-based messages over diverse…

Social and Information Networks · Computer Science 2026-01-30 Iris Yazici , Mert Kayaalp , Stefan Taga , Ali H. Sayed

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

Systems and Control · Computer Science 2019-04-01 Mengran Xue , Sandip Roy

In human societies opinion formation is mediated by social interactions, consequently taking place on a network of relationships and at the same time influencing the structure of the network and its evolution. To investigate this…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

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

We recently proposed a model coupling the evolution of the opinions of the individual with the local network topology. The opinion dynamics is based on the Bounded Confidence model. The social networks is based on a group concept where each…

Physics and Society · Physics 2010-03-19 F. Gargiulo , S. Huet

When opinion spread is studied, peer pressure is often modeled by interactions of more than two individuals (higher-order interactions). In our work, we introduce a two-layer random hypergraph model, in which hyperedges represent households…

Social and Information Networks · Computer Science 2025-12-30 Ágnes Backhausz , Villő Csiszár , Balázs Csegő Kolok , Damján Tárkányi , András Zempléni

As an important factor governing opinion dynamics, stubbornness strongly affects various aspects of opinion formation. However, a systematically theoretical study about the influences of heterogeneous stubbornness on opinion dynamics is…

Social and Information Networks · Computer Science 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

We examine two-layer networks and centrality measures defined on them. We propose two fast and accurate algorithms to approximate the game-theoretic centrality measures and examine connection between centrality measures and characteristics…

Physics and Society · Physics 2025-10-30 Chi Zhao , Elena Parilina

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

Theoretical computer science plays an important role in the understanding of social networks and their properties. We can model information rippling throughout social networks, or the opinions of social media users for example, using graph…

Discrete Mathematics · Computer Science 2024-06-11 Timothy Horscroft

We study the weighted average consensus problem for a gossip network of agents with vector-valued states. For a given matrix-weighted graph, the gossip process is described by a sequence of pairs of adjacent agents communicating and…

Optimization and Control · Mathematics 2023-11-09 Erkan Bayram , Mohamed-Ali Belabbas , Tamer Başar