Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game

Wang, B., Chen, X., & Wang, L. (2012). Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game. Journal of Statistical Mechanics: Theory and Experiment P11017. 10.1088/1742-5468/2012/11/P11017.

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Most previous works study the evolution of cooperation in a structured population by commonly employing an isolated single network. However, realistic systems are composed of many interdependent networks coupled with each other, rather than an isolated single one. In this paper, we consider a system including two interacting networks with the same size, entangled with each other by the introduction of probabilistic interconnections. We introduce the public goods game into such a system, and study how the probabilistic interconnection influences the evolution of cooperation of the whole system and the coupling effect between two layers of interdependent networks. Simulation results show that there exists an intermediate region of interconnection probability leading to the maximum cooperation level in the whole system. Interestingly, we find that at the optimal interconnection probability the fraction of internal links between cooperators in two layers is maximal. Also, even if initially there are no cooperators in one layer of interdependent networks, cooperation can still be promoted by probabilistic interconnection, and the cooperation levels in both layers can more easily reach an agreement at the intermediate interconnection probability. Our results may be helpful in understanding cooperative behavior in some realistic interdependent networks and thus highlight the importance of probabilistic interconnection on the evolution of cooperation.

Item Type: Article
Uncontrolled Keywords: Socio-economic networks; Network dynamics; Applications to game theory and mathematical economics
Research Programs: Evolution and Ecology (EEP)
Postdoctoral Scholars (PDS)
Bibliographic Reference: Journal of Statistical Mechanics: Theory and Experiment; 2012:P11017 (November 2012)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:46
Last Modified: 27 Aug 2021 17:22

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