论文标题

基于在空间囚犯的困境中,基于获胜的损失 - 学习统治的动态愿望

Dynamic aspiration based on Win-Stay-Lose-Learn rule in Spatial Prisoner's Dilemma Gam

论文作者

Shi, Zhenyu, Wei, Wei, Feng, Xiangnan, Li, Xing, Zheng, Zhiming

论文摘要

囚犯的困境游戏是最常用的空间进化游戏模型,被认为是描绘自私者竞争的范式。近年来,已被证明是促进空间囚犯的困境游戏的合作的有效模型,这是一个有效的模型,这是一个有效的模型,这导致愿望引起人们的关注,这是一个有效的模型。但是在许多研究中,假设个人的愿望是固定的,这与心理学的最新结果不一致。在本文中,根据预期价值理论和成就动机理论,我们提出了一个基于Winstay-Lose-Learn规则的动态愿望模型,其中个人的愿望受到其回报的启发。发现动态攻击对进化过程有重大影响,并且不同的初始觉得会导致不同的结果,这在低率下被称为稳定共存,在高率下的中等攻击和叛逃爆炸下的依赖性共存。此外,对导致合作者存在或叛逃者的扩展的局部结构进行了深入分析,以及用于不同参数的演化过程,包括策略和愿望。结果,在不同的进化过程中实现了导致缺陷扩张和合作者生存的内在结构,这提供了对进化的深入理解。与固定的抽吸模型相比,动态愿望对人口进化法提出了更令人满意的解释,并可以提高对囚犯困境原则的更深入的理解。

Prisoner's dilemma game is the most commonly used model of spatial evolutionary game which is considered as a paradigm to portray competition among selfish individuals. In recent years, Win-Stay-Lose-Learn, a strategy updating rule base on aspiration, has been proved to be an effective model to promote cooperation in spatial prisoner's dilemma game, which leads aspiration to receive lots of attention. But in many research the assumption that individual's aspiration is fixed is inconsistent with recent results from psychology. In this paper, according to Expected Value Theory and Achievement Motivation Theory, we propose a dynamic aspiration model based on Win-Stay-Lose-Learn rule in which individual's aspiration is inspired by its payoff. It is found that dynamic aspiration has a significant impact on the evolution process, and different initial aspirations lead to different results, which are called Stable Coexistence under Low Aspiration, Dependent Coexistence under Moderate aspiration and Defection Explosion under High Aspiration respectively. Furthermore, a deep analysis is performed on the local structures which cause cooperator's existence or defector's expansion, and the evolution process for different parameters including strategy and aspiration. As a result, the intrinsic structures leading to defectors' expansion and cooperators' survival are achieved for different evolution process, which provides a penetrating understanding of the evolution. Compared to fixed aspiration model, dynamic aspiration introduces a more satisfactory explanation on population evolution laws and can promote deeper comprehension for the principle of prisoner's dilemma.

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