Opinion separation in leader-follower coopetitive social networks
Opinion separation in leader-follower coopetitive social networks
复制标题
领导者-追随者竞争性社交网络中的意见分离
DOI：
10.1016/j.neucom.2020.12.079
复制
发表时间：
2021
期刊：
影响因子：
6
通讯作者：
Housheng Su
中科院分区：
文献类型：
--
作者：
Haili Liang;Fanli Yuan;Zhao Zhou;Housheng Su
社会网络上的意见动态描述了领导-追随者合作（合作-竞争）互动中意见的时间演变。什么时候意见形成导致与单一领导者的意见分离？本文研究了带签名网络的意见分离问题的连续时间模型。我们的模型结合了Degroot的正/负加权规则来描述其邻居的影响，以及Jadbabaie反映的领导-追随者机制来描述从追随者到领导者的信任/不信任关系。当领导者是平稳的，我们建立了一个充要条件，保证在网络拓扑结构平衡的情况下，所有的意见最终收敛到二部共识。当领导者是动态的时，提出了一个充分条件，保证追随者的意见与领导者的意见或相反的意见以相同的速度移动。随后，我们引入拉普拉斯格式、签名网络框架和矩阵分析来发展网络系统的稳定性。数值仿真实例说明了所提出的领导-追随者合作系统的性能。
Opinion dynamics on social networks describe the time evolution of the opinions within the leader–follower coopetitive (cooperative-competitive) interactions. When does opinion formation result in opinion separation with the single leader? This paper investigates a continuous-time model of such opinion separation problems with signed networks. Our model combines the positive/negative weighting rule of Degroot to describe the impact of their neighbors and the reflected leader–follower mechanism of Jadbabaie to describe trust/distrust relationships from followers to the leader. When the leader is stationary, we establish a necessary and sufficient condition, which ensure all opinions finally converge to bipartite consensus as long as the network topology is structurally balanced. When the leader is dynamic, a sufficient condition is proposed to ensure the opinions of followers move with the opinion of leader or the opposite value in the same velocity. Subsequently, we introduce Laplacian schemes, the framework of signed networks and matrix analysis to develop the stability of networked systems. Numerical simulation examples are given to illustrate the performance of the proposed leader–follower coopetitive systems.
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影响因子：
4.2
作者：
L. Vassio;F. Fagnani;P. Frasca;A. Ozdaglar
通讯作者：
L. Vassio;F. Fagnani;P. Frasca;A. Ozdaglar
影响因子：
0.9
作者：
Richard Bradley
通讯作者：
Richard Bradley
DOI：
10.1080/01621459.1974.10480137
发表时间：
1974-03
影响因子：
3.7
作者：
M. Degroot
通讯作者：
M. Degroot
DOI：
10.1016/b978-0-12-442450-0.50008-0
发表时间：
1977
期刊：
--
影响因子：
--
作者：
D. Cartwright;F. Harary
通讯作者：
D. Cartwright;F. Harary
影响因子：
6.8
作者：
Jadbabaie, A;Lin, J;Morse, AS
通讯作者：
Morse, AS