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Self-questioning dynamical evolutionary game with altruistic behavior and sharing mechanism in scale-free network
International Journal of Machine Learning and Cybernetics ( IF 5.6 ) Pub Date : 2021-04-05 , DOI: 10.1007/s13042-021-01311-x
Bo Yang , Jinhai Li

The spatial evolutionary game is one of the efficient models to explain the emergence and maintenance of cooperation among selfish individuals. In the existing work, the relationship between self-questioning dynamical evolutionary game model and Ising model has been discussed. However, the study on the dividing lines which were used to distinguish entirely cooperative phase, entirely defective phase and cooperative and defective coexistence in the ground state is not enough. That is, the dividing lines were only considered to be suitable for regular networks before. To address this issue, a self-questioning evolutionary game model with altruistic or sharing preference is studied in scale-free Barabási–Albert networks. Using the Ising model theory and Monte Carlo simulation, it is found that the players considering their opponents’ payoffs with probability p are equivalent to the players sharing their payoffs with probability \(p/(1+p)\). A further research on the relationship between the self-questioning dynamical evolutionary game model and Ising model shows that the dividing lines are in fact unrelated to network structure, which means that the dividing lines are suitable for arbitrary networks. In addition, the nodes with large degree have higher stability and robustness than those with small degree.



中文翻译:

无标度网络中具有利他行为和共享机制的自问动态进化博弈

空间进化博弈是解释自私个体之间合作的出现和维持的有效模型之一。在现有工作中,讨论了自问动态演化博弈模型与伊辛模型之间的关系。但是,仅仅研究区分基态的完全合作相,完全缺陷相以及合作与缺陷共存的分界线还不够。也就是说,以前仅将分界线认为适用于常规网络。为了解决这个问题,在无标度的Barabási-Albert网络中研究了具有利他或共享偏好的自问进化博弈模型。使用伊辛模型理论和蒙特卡洛模拟,p等于玩家以概率\(p /(1 + p)\)分享他们的收益。对自问动力学演化博弈模型与伊辛模型之间关系的进一步研究表明,分界线实际上与网络结构无关,这意味着分界线适用于任意网络。另外,度数较大的节点比度数较小的节点具有更高的稳定性和鲁棒性。

更新日期:2021-04-05
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