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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

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

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

Although social networks have expanded the range of ideas and information accessible to users, they are also criticized for amplifying the polarization of user opinions. Given the inherent complexity of these phenomena, existing approaches…

Social and Information Networks · Computer Science 2025-02-19 Marino Kühne , Panagiotis D. Grontas , Giulia De Pasquale , Giuseppe Belgioioso , Florian Dörfler , John Lygeros

We consider the problem of predicting the time evolution of influence, the expected number of activated nodes, given a set of initially active nodes on a propagation network. To address the significant computational challenges of this…

Social and Information Networks · Computer Science 2017-01-10 Shui-Nee Chow , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

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 2020-11-06 Rediet Abebe , T-H. Hubert Chan , Jon Kleinberg , Zhibin Liang , David Parkes , Mauro Sozio , Charalampos E. Tsourakakis

In diffusion social learning over weakly-connected graphs, it has been shown recently that influential agents shape the beliefs of non-influential agents. This paper analyzes this mechanism more closely and addresses two main questions.…

Multiagent Systems · Computer Science 2018-11-07 Hawraa Salami , Bicheng Ying , Ali H. Sayed

We study the stability of opinion dynamics in the time-varying Friedkin-Johnsen (TVFJ) model, which captures both persistent individual biases and adaptive social influence. We introduce two temporal structures, defected temporal graphs…

Systems and Control · Electrical Eng. & Systems 2025-10-03 M. Hossein Abedinzadeh , Emrah Akyol

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

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

According to mass media theory, the dissemination of messages and the evolution of opinions in social networks follow a two-step process. First, opinion leaders receive the message from the message sources, and then they transmit their…

Social and Information Networks · Computer Science 2023-09-12 Huisheng Wang , Yuejiang Li , Yiqing Lin , H. Vicky Zhao

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion; and each agent updates its opinion by averaging all other opinions that are…

Mathematical Physics · Physics 2011-04-08 Anahita Mirtabatabaei , Francesco Bullo

In this paper, we address two practical challenges of distributed learning in multi-agent network systems, namely personalization and resilience. Personalization is the need of heterogeneous agents to learn local models tailored to their…

Multiagent Systems · Computer Science 2026-01-01 Luca Ballotta , Nicola Bastianello , Riccardo M. G. Ferrari , Karl H. Johansson

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

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

Influence diffusion has been central to the study of propagation of information in social networks, where influence is typically modeled as a binary property of entities: influenced or not influenced. We introduce the notion of attitude,…

Social and Information Networks · Computer Science 2020-10-27 Xiaoyun Fu , Madhavan Rajagopal Padmanabhan , Raj Gaurav Kumar , Samik Basu , Shawn Dorius , Pavan Aduri

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

Physics and Society · Physics 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

We introduce a new opinion dynamics model where a group of agents holds two kinds of opinions: inherent and declared. Each agent's inherent opinion is fixed and unobservable by the other agents. At each time step, agents broadcast their…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Ali Jadbabaie , Anuran Makur , Elchanan Mossel , Rabih Salhab

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

As problems in political polarization and the spread of misinformation become serious, belief propagation on a social network becomes an important question to explore. Previous breakthroughs have been made in algorithmic approaches to…

Social and Information Networks · Computer Science 2025-05-02 Yujian Fu
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