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条件相互作用在各个领域中是很常见的,由此我们提出了一种条件相互惩罚机制,并假设存在相互惩罚阈值,两个策略不同的个体只有收益均超过阈值时才能进行相互惩罚。为了理解条件相互惩罚机制对空间公共物品博弈中合作演化的影响,我们研究了相互惩罚阈值和倍增因子r对系统最终合作水平的影响,并发现当相互惩罚阈值和倍增因子都取适当的值时,可以缓和搭便车的现象。此外,我们比较了:存在相互惩罚阈值的情况下与没有惩罚阈值的情况下对该系统的合作水平的影响,我们也研究了系统尺寸对系统的影响。
Conditional interaction is very common in all fields. Therefore, we propose a condition-based penalty mechanism and assume that mutual punishment thresholds exist. Individuals with different strategies can not penalize each other only when the returns exceed the threshold. In order to understand the impact of conditional mutual punishment mechanism on cooperative evolution in the game of space public goods, we study the impact of mutual punishment threshold and multiplication factor r on the final cooperative level of the system. It is found that when the mutual punishment threshold and the multiplication factor take appropriate values , You can ease the phenomenon of free-rider. In addition, we compared the impact of system penalties on the level of cooperation with and without penalty thresholds, and we also examined the impact of system dimensions on the system.