基于NE结果的多智能体系统模型及其能控性

A Multi-agent System Model Based on NE Results and Its Controllability

为基于纳什均衡的结果得到多智能体系统的一类新模型,结合实际并运用图论的方法,构造了一类不同于一般模型和Tanner模型的新模型——等邻居模型,该模型首次将纳什均衡与图拓扑结构建立联系。分析了等邻居模型与其他模型在多智能体系统中所得到的能控性的不同点,并发现等邻居模型在特定条件下能够与其他模型产生相同的能控性。

It is very meaningful to get a new model of multi-agent system based on Nash equilibrium.Combining the practice and using the graph theory method,this paper constructs a new class of model which is different from the general model and Tanner model:iso-neighbor model.We first introduce the unique characteristics of this kind of model from the point of view of graph theory,then analyze the differences of controllability between iso-neighbor model and other models in multi-agent system,and draw the following conclusions:The iso-neighbor model can produce the same controllability as other models under fixed conditions.