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Opinion dynamics with intermittent-influence leaders on the signed social network
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  • Ziwen Shen,
  • Guang He,
  • Xiaotai Wu,
  • Yixin Zhu,
  • MingXuan Shen
Ziwen Shen
Anhui Polytechnic University

Corresponding Author:szwszw2022@163.com

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Guang He
Anhui Polytechnic University
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Xiaotai Wu
Anhui Polytechnic University
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Yixin Zhu
Anhui Polytechnic University
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MingXuan Shen
Anhui Polytechnic University
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In this paper, the leader-follower architecture is constructed by combining intermittent-influence leaders with a signed social network. Unlike a typical network with leaders where leaders are supposed to continuously influence followers, in this article, the leaders intermittently influence followers. Furthermore, the number of influences is limited. We focus on how intermittent-influence leaders impact the evolution of followers' opinions. The relationship between followers' opinions and the number of leader broadcasts is analyzed in detail. Then, the number of broadcasts is regarded as the cost, and the changing trend of the revenue per broadcast is obtained. The results show that as the number of broadcasts increases, the revenue per broadcast decreases gradually. Finally, the concept of assimilation is introduced to weigh the costs and benefits, and the minimum number of broadcasts required for the leader to assimilate the followers is derived. Two examples are given to demonstrate the validity of the main conclusions.
17 Oct 2022Submitted to Engineering Reports
20 Oct 2022Submission Checks Completed
20 Oct 2022Assigned to Editor
20 Oct 2022Review(s) Completed, Editorial Evaluation Pending
24 Oct 2022Reviewer(s) Assigned
06 Jan 2023Editorial Decision: Revise Major
01 Feb 20231st Revision Received
02 Feb 2023Submission Checks Completed
02 Feb 2023Assigned to Editor
02 Feb 2023Review(s) Completed, Editorial Evaluation Pending
07 Feb 2023Reviewer(s) Assigned
02 Mar 2023Editorial Decision: Accept