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| Game Modeling Analysis of Multi-leaders Opinion in Social Network |
| YAN Xiaoxue, JI Zhijian
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| a. School of Automation; b. Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao 266071,China |
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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.
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Received: 20 March 2021
Published: 21 February 2022
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