拓扑可调无标度网络上的雪堆博弈研究

复杂网络上博弈个体间合作行为的涌现具有重要的现实意义.为了研究无标度网络拓扑结构对合作涌现的影响,结合雪堆博弈模型和比例模仿策略,研究了拓扑结构可调的无标度网络上的博弈动力学演化,具体研究内容为网络的幂律指数、平均度和平均聚类系数与合作密度的关系.仿真结果表明,无标度网络的合作密度与网络度分布的均匀程度正相关,高聚类结构可以有效增强网络上的合作密度,即幂律指数越高,平均聚类系数越小时,合作水平越低;另外,平均度与合作密度呈现非单调关系,存在一个最佳平均度.

Repeated snowdrift game on tunable scale-free networks

The emergence of cooperation on complex networks is of great importance. In order to investigate the effects of scale-free network's topology features on cooperation density of repeated snowdrift game with Schlag replication strategy, in the frame of tunable scale-free networks (a power-law-alterable scale-free network model and a clustering coefficient alterable scale-free model), the relation of scale-free network's power-law exponent, clustering coefficient, average degree and the cooperation density on the networks was researched. The results show that the network's cooperation level is consistent with uniformity of the network and can be enhanced by a highly clustered topology, in other words, the higher the power-law exponent of a network and the less clustered of a network, the weaker of the network's cooperation; the relation between average degree and cooperation density is non-monotonic.