Abstract:
In this paper, a mechanism called proximity inheritance is introduced in the birth-death process of a networked population involving the Prisoner\'s Dilemma game. Different from the traditional birth-death process, in the proposed model, players are distributed in a spatial space and offspring is distributed in the neighbourhood of its parents. That is, offspring inherits not only the strategy but also the proximity of its parents. In this coevolutionary game model, a cooperative neighbourhood gives more neighbouring cooperative offspring and a defective neighbourhood gives more neighbouring defective offspring, leading to positive feedback among cooperative interactions. It is shown that with the help of proximity inheritance, natural selection will favour cooperation over defection under various conditions, even in the presence of mutation. Furthermore, the coevolutionary dynamics could lead to self-organized substantial network clustering, which promotes an assortment of cooperative interactions. This study provides a new insight into the evolutionary mechanism of cooperation in the absence of social attributions such as reputation and punishment.
摘要:
在本文中,在涉及囚徒困境博弈的网络人口的生死过程中引入了一种称为邻近继承的机制。不同于传统的生死过程,在提出的模型中,玩家分布在空间空间中,后代分布在其父母的附近。也就是说,后代不仅继承了策略,而且继承了父母的亲近。在这个协同进化博弈模型中,一个合作社区给更多的相邻合作后代,一个有缺陷的社区给更多的相邻有缺陷后代,在合作互动中产生积极的反馈。表明,在邻近继承的帮助下,在各种条件下,自然选择将有利于合作而不是叛逃,即使存在突变。此外,协同进化动力学可能导致自组织的大量网络聚类,这促进了各种各样的合作互动。这项研究为缺乏声誉和惩罚等社会归因的合作演化机制提供了新的见解。