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Auteurs principaux: Wang, Huisheng, Chen, Zhanjiang, Zhao, H. Vicky
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2402.18867
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author Wang, Huisheng
Chen, Zhanjiang
Zhao, H. Vicky
author_facet Wang, Huisheng
Chen, Zhanjiang
Zhao, H. Vicky
contents Understanding the impact of messages on agents' opinions over social networks is important. However, to our best knowledge, there has been limited quantitative investigation into this phenomenon in the prior works. To address this gap, this paper proposes the Message-Enhanced DeGroot model. The Bounded Brownian Message model provides a quantitative description of the message evolution, jointly considering temporal continuity, randomness, and polarization from mass media theory. The Message-Enhanced DeGroot model, combining the Bounded Brownian Message model with the traditional DeGroot model, quantitatively describes the evolution of agents' opinions under the influence of messages. We theoretically study the probability distribution and statistics of the messages and agents' opinions and quantitatively analyze the impact of messages on opinions. We also conduct simulations to validate our analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2402_18867
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Message-Enhanced DeGroot Model
Wang, Huisheng
Chen, Zhanjiang
Zhao, H. Vicky
Signal Processing
Social and Information Networks
Systems and Control
Understanding the impact of messages on agents' opinions over social networks is important. However, to our best knowledge, there has been limited quantitative investigation into this phenomenon in the prior works. To address this gap, this paper proposes the Message-Enhanced DeGroot model. The Bounded Brownian Message model provides a quantitative description of the message evolution, jointly considering temporal continuity, randomness, and polarization from mass media theory. The Message-Enhanced DeGroot model, combining the Bounded Brownian Message model with the traditional DeGroot model, quantitatively describes the evolution of agents' opinions under the influence of messages. We theoretically study the probability distribution and statistics of the messages and agents' opinions and quantitatively analyze the impact of messages on opinions. We also conduct simulations to validate our analyses.
title Message-Enhanced DeGroot Model
topic Signal Processing
Social and Information Networks
Systems and Control
url https://arxiv.org/abs/2402.18867