Abstract：The paper presents a new opinion dynamic model based on the Friedkin-Johnsen model by studying the phenomenon that the human behaviours are usually influenced by their neighbours in social networks. Firstly, taking the leader as the main body, the agent is divided into several viewpoint group systems with strong connected structures. Secondly, multi-leaders game control is used to add leader game strategies to the progress of opinion dynamic and complex co-evolution, so that each opinion group can form an optimal solution. To look for the optimal control strategy, a coupled Hamilton-Jacobi-Bellman (HJB) equation is established. Finally, several simulations are used to illustrate the formation of opinion groups in social networks to stable convergence.
闫晓雪, 纪志坚. 社交网络中多领导者观点的博弈建模分析[J]. 复杂系统与复杂性科学, 2022, 19(1): 20-26.
YAN Xiaoxue, JI Zhijian. Game Modeling Analysis of Multi-leaders Opinion in Social Network. Complex Systems and Complexity Science, 2022, 19(1): 20-26.
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