共演博弈下网络合作动力学研究进展

Research on the Networked Cooperative Dynamics of Coevolutionary Games

综述了网络上共演博弈最近的研究进展,首先基于囚徒困境和公共品博弈模型,系统比较了无标度网络上度异质性、度相关性和聚类特性对于两人和多人博弈作用机理的异同。然后,在静态网络上综述了近年从时间尺度、个体选择、教育活动、个体理性与期望、交互限制等方面提出的演化规则与合作行为共演的成果。进一步,从移边、生灭、基于格子和平面移动四方面,介绍了结构与合作行为协同演化的工作。最后探讨了今后值得研究的课题。

This paper summarize recent researches about the networked coevolutionary games. Firstly, a systematical introduction is presented to social dilemma games, including the Prisoner＇s dilemma game and the public goods games, associated with a variety of structural properties, e.g., degree heterogeneity, assortative mixing and clustering. The essential relationship between network structure and cooperative dynamics is revealed. Subsequently, we review the achievements with respect to coevolution of cooperation with learning and selection rules in the static networks, such as, time scale, individual selection, teaching activity, rationality and aspiration, and restrained interaction. Furthermore, we summarize recent works about eoevolution of cooperative dynamics and interaction patterns, especially involving vanish of interactions, birth and death process and migration. Finally, we provide some remarks and outlook for the development of evolutionary games on networks in the future.