根据社交网络中存在个体受邻居影响这一因素,基于Friedkin-Johnsen模型提出了一种新的观点动力学模型。首先,以领导者为主体将智能体划分成若干个强连通结构的观点群体系统。然后,采用多领导者博弈控制在动态观点协同进化过程中加入领导者博弈策略,使得每个观点群体都形成最优的解决方案。为寻求最优控制策略,建立了耦合形式的哈密尔顿-雅可比-贝尔曼(HJB)方程。最后通过数值仿真,模拟社交网络中观点群体形成至稳定收敛。
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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