复杂动态网络上演化博弈的群体策略选择和干预机制研究

复杂网络上的演化博弈是复杂网络和演化博弈结合而形成的新型交叉研究领域，它以复杂网络刻画个体间的交互结构，以演化博弈刻画个体的决策范式，为分析和预测复杂交互环境下群体的决策行为提供了一个新的研究框架。目前，网络演化博弈研究主要集中于静态网络，对于动态网络上的演化博弈，由于动态网络自身演化的复杂性、以及网络结构与个体策略两者动态演化之间的耦合作用，对其进行理论分析非常困难。本课题拟从典型复杂动态网络上的演化博弈模型出发，利用动力系统分析工具，对复杂动态网络上演化博弈中的策略选择问题展开系统的探索：建立动态网络上演化博弈中群体策略选择的判定条件和方法，阐明个体策略选择与群体策略选择之间的关联关系，挖掘影响群体策略选择的关键节点和网络结构特征，此外，考察针对动态网络上演化博弈中群体策略选择的调控机制设计方法。相关研究将为理解社交群体集群行为的形成、演变和干预等提供新的理论与技术支持。

Evolutionary game on complex networks is a new interdisciplinary research field at the cross-point of complex networks and evolutionary game. With a complex network representing the interaction structure among agents and an evolutionary game representing the decision paradigm, the evolutionary game on complex networks provides a new framework for analyzing and predicting the collective decision-making behaviors of complex interactive populations. Current studies on networked evolutionary game mainly focus on static interactive networks. For evolutionary games on dynamical networks, yet, due to the complexity of dynamical networks and the coupling between evolutionary dynamics of network structure and strategy, it is difficult to carry out theoretical analysis. In this proposal, based on the typical complex dynamical networks models, and by using analysis tools of dynamical systems, systematic investigations will be carried out on strategy selection problems in evolutionary game on dynamical networks. The determination conditions and methods of strategy selection will be established; the relationships between individual and population strategy selections will be clarified; and the key nodes and structural features which influence strategy selection will be dug out. Moreover, the designation methods of intervention mechanisms for strategy selection in evolutionary games on complex dynamical networks will be explored. These outcomes will provide a new theoretical and technical perspective for understanding the formation, evolution, intervention and management of social population behaviors.