Chaotic evolution of prisoner's dilemma game with volunteering on interdependent networks

Chaotic evolution of prisoner's dilemma game with volunteering on interdependent networks
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相互依存网络上志愿服务的囚徒困境博弈的混沌演化

DOI:
10.1016/j.cnsns.2016.12.004
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发表时间:
2017-06-01
影响因子:
3.9
通讯作者:
Zheng, YuanJie
Zheng, YuanJie
中科院分区:
数学2区
文献类型:
--
作者:
Luo, Chao;Zhang, Xiaolin;Zheng, YuanJie

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在本文中,研究了在相互依赖的网络上志愿服务的囚徒困境博弈的演变。与传统的双策略博弈不同,自愿参与作为一种附加策略参与重复博弈,可以引入更复杂的进化动力学。而且,相互依赖的网络提供了更通用的网络架构来研究动态的复杂变化。我们已经表明,自愿参与可以有效地提高合作的密度,这也很大程度上受到两个耦合网络之间的相互依存强度的影响。我们进一步讨论了相互依赖强度对不同策略密度的影响,发现中间的相互依赖会对动力学的演化发挥更大的作用。随后,研究了不同条件下相变的缺陷诱惑的临界值。此外,还对相互依存网络上三种策略的优势圈引起的全局振荡进行了定量研究。与直觉相反,策略密度的振荡不是周期性或随机的,而是具有丰富的动态行为。通过各种分析工具,我们证明了策略密度的全局振荡具有混沌特征。 (c) 2016 Elsevier B.V. 保留所有权利。
In this article, the evolution of prisoner's dilemma game with volunteering on interdependent networks is investigated. Different from the traditional two-strategy game, voluntary participation as an additional strategy is involved in repeated game, that can introduce more complex evolutionary dynamics. And, interdependent networks provide a more generalized network architecture to study the intricate variability of dynamics. We have showed that voluntary participation could effectively promote the density of co-operation, that is also greatly affected by interdependent strength between two coupled networks. We further discussed the influence of interdependent strength on the densities of different strategies and found that an intermediate interdependence would play a bigger role on the evolution of dynamics. Subsequently, the critical values of the defection temptation for phase transitions under different conditions have been studied. Moreover, the global oscillations induced by the circle of dominance of three strategies on interdependent networks have been quantitatively investigated. Counter-intuitively, the oscillations of strategy densities are not periodic or stochastic, but have rich dynamical behaviors. By means of various analysis tools, we have demonstrated the global oscillations of strategy densities possessed chaotic characteristics. (c) 2016 Elsevier B.V. All rights reserved.