噪声强度对空间公共物品博弈的影响

Effects of Noise Intensity on Spatial Public Goods Game

分析了噪声强度对空间公共物品博弈行为的影响,仿真结果表明:噪声对合作行为的涌现起到了抑制作用,并且增益系数越小抑制作用越明显。另外一个有趣的发现是:在噪声比较小的情况下合作频率的曲线随增益系数的变化出现阶梯现象,并且噪声强度越小阶梯现象越明显;当噪声强度很小时,曲线会分成几段,并且每一段对应于一种独特的空间斑图。最后,对合作频率曲线出现分段现象的原因进行了探索,所得到的理论分析结果对这一现象做出了详尽的解释。

In this paper, the effect of noise intensity on the spatial public goods game behavior is analyzed. The results of simulation show that the noise plays an inhibitory role in the emergence of cooperative behavior, and the inhibitory effect will be more obvious when the multiplication factor is smaller. Another interesting finding is that： curve of the frequency of cooperation will present ladder phenomenon with the multiplication {actor increase when the noise is relatively small, besides the phenomenon will be more evident when the noise intensity becomes smaller. Curve will be cut into several segments when the noise intensity is very small and each section corresponds to a unique space pattern. Finally, we explore the reason why the frequency of coop- eration emergences segment and the theoretical analysis account for this phenomenon in detail.