同质与异质网络上的公共物品博弈：基于资金池规模的投资策略
The public goods game on homogeneous and heterogeneous networks: investment strategy according to the pool size
摘要：
本文提出了一个扩展的公共物品互动模型来研究异质种群中的合作演化。投资者被安排在著名的无标度网络，巴拉巴西-阿尔伯特模型。每个投资者都应该根据对资金池规模的了解，优先将资金分配给其投资组合中的资金池。投资者偏好较大资产池的程度由投资策略决定，投资策略由可调参数$α$表示，较大的$α$对应于对较大资产池的偏好。作为比较，我们还研究了正方形格子上的这种相互作用模型，发现异质接触有利于合作。此外，还讨论了局部拓扑对不同$α$策略下博弈动态的影响。结果表明，采用较小的$α$策略的系统性能优于采用较大的$α$策略的系统.
英文摘要：
We propose an extended public goods interaction model to study the evolution of cooperation in heterogeneous population. The investors are arranged on the well known scale-free type network, the Barabási-Albert model. Each investor is supposed to preferentially distribute capital to pools in its portfolio based on the knowledge of pool sizes. The extent that investors prefer larger pools is determined by investment strategy denoted by a tunable parameter $α$, with larger $α$ corresponding to more preference to larger pools. As comparison, we also study this interaction model on square lattice, and find that the heterogeneity contacts favors cooperation. Additionally, the influence of local topology to the game dynamics under different $α$ strategies are discussed. It is found that the system with smaller $α$ strategy can perform comparatively better than the larger $α$ ones.
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