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The Robust Consensus of a Noisy Deffuant-Weisbuch Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We construct a new opinion formation of the Deffuant-Weisbuch model with the interference of the outer noise, where there are finite n agents and the evolution is discrete-time.
The opinion interaction occurs by one randomly chosen pair at each time step.
The difference to the original Deffuant-Weisbuch model is that communications of any selected pairs will be affected by noises.
The aim of this paper is to study the robust consensus of this noisy Deffuant-Weisbuch model.
We first define the noise strength as the maximum noise absolute value.
We will then show that when the noise strength is less than a certain threshold, this noisy model will achieve T-robust consensus when t is sufficiently large; next we prove that the noisy model achieves robust consensus with a positive probability; finally, we demonstrate these results and provide numerical relations among the noise strength and some model parameters.
American Psychological Association (APA)
Zhang, Jiangbo& Zhao, Yiyi. 2018. The Robust Consensus of a Noisy Deffuant-Weisbuch Model. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1205490
Modern Language Association (MLA)
Zhang, Jiangbo& Zhao, Yiyi. The Robust Consensus of a Noisy Deffuant-Weisbuch Model. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1205490
American Medical Association (AMA)
Zhang, Jiangbo& Zhao, Yiyi. The Robust Consensus of a Noisy Deffuant-Weisbuch Model. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1205490
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205490