Gossip Consensus Algorithm Based on Time-Varying Influence Factors and Weakly Connected Graph for Opinion Evolution in Social Networks
Joint Authors
Zhang, Xiaolu
Li, Demin
Cao, Jinde
Li, Lingyun
Zhou, Jie
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We provide a new gossip algorithm to investigate the problem of opinion consensus with the time-varying influence factors and weakly connected graph among multiple agents.
What is more, we discuss not only the effect of the time-varying factors and the randomized topological structure but also the spread of misinformation and communication constrains described by probabilistic quantized communication in the social network.
Under the underlying weakly connected graph, we first denote that all opinion states converge to a stochastic consensus almost surely; that is, our algorithm indeed achieves the consensus with probability one.
Furthermore, our results show that the mean of all the opinion states converges to the average of the initial states when time-varying influence factors satisfy some conditions.
Finally, we give a result about the square mean error between the dynamic opinion states and the benchmark without quantized communication.
American Psychological Association (APA)
Li, Lingyun& Zhou, Jie& Li, Demin& Cao, Jinde& Zhang, Xiaolu. 2013. Gossip Consensus Algorithm Based on Time-Varying Influence Factors and Weakly Connected Graph for Opinion Evolution in Social Networks. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-509950
Modern Language Association (MLA)
Li, Lingyun…[et al.]. Gossip Consensus Algorithm Based on Time-Varying Influence Factors and Weakly Connected Graph for Opinion Evolution in Social Networks. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-509950
American Medical Association (AMA)
Li, Lingyun& Zhou, Jie& Li, Demin& Cao, Jinde& Zhang, Xiaolu. Gossip Consensus Algorithm Based on Time-Varying Influence Factors and Weakly Connected Graph for Opinion Evolution in Social Networks. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-509950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509950