具有可调记忆长度的演化雪堆博弈

Snowdrift Evolutionary Game with Variable Memory Lengths

为了研究异质无标度网络上个体的动态博弈行为及其合作稳定性,引入可调的记忆长度参量,提出了一种新的基于可调记忆长度的雪堆博弈演化模型。发现:当损益比r<0.5(r>0.5)时,随着此参量的增加(减少),网络中大度(小度)节点具有较长记忆长度时,无标度网络个体的合作频率与纯合作频率逐渐上升,并且使个体间的合作稳定性增强,利于合作的巩固。

We introduce a tunable parameter of memory length and present a new memory-based snowdrift game, where individuals have variable individual memory lengths, to investigate the individuals＇ dynamic behaviors and cooperation stability on heterogeneous scale-free networks. We find that, when the Cost to Benefit Ratio r 〈 0. 5 （r 〉 0.5）, with the increase （decrease） of it, a scale-free network having longmemory-length hubs （ small degree vertices） yields the higher frequency of cooperation and of pure cooperation, and finally lead to better cooperation stability to enhance the strategy of cooperation.