论文标题

策略依赖于循环主导系统中的学习活动

Strategy dependent learning activity in cyclic dominant systems

论文作者

Szolnoki, Attila, Chen, Xiaojie

论文摘要

环状主导系统的原型是所谓的摇滚纸游戏,但是在其他几种进化游戏理论模型中可以确定竞争策略之间的类似关系。在这项工作中,我们假设可用集合的特定策略不愿采用替代状态,因此,无论考虑采用哪种其他策略,相关的学习活动都会减少。自相矛盾的是,基本模型的这种修改将主要提升另一种策略的固定分数,后者是研究活动减少的虚拟捕食者。研究系统的这种一般反应与我们对Lotka-Volterra型环状系统的理解一致,在这种情况下,降低来源和目标物种之间的侵袭率促进了以前种群的增长。观察到的效果是高度非线性的,因为策略之间的有效侵袭率可能敏感地取决于实际模型的细节。

The prototype of a cyclic dominant system is the so-called rock-scissors-paper game, but similar relation among competing strategies can be identified in several other models of evolutionary game theory. In this work we assume that a specific strategy from the available set is reluctant to adopt alternative states, hence the related learning activity is reduced no matter which other strategy is considered for adoption. Paradoxically, this modification of the basic model will primarily elevate the stationary fraction of another strategy who is the virtual predator of the one with reduced learning activity. This general reaction of the studied systems is in agreement with our understanding about Lotka-Volterra type cyclic dominant systems where lowering the invasion rate between a source and target species promotes the growth of former population. The observed effect is highly non-linear because the effective invasion rates between strategies may depend sensitively on the details of the actual model.

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