Probabilistic interconnection between interdependent networks promotes cooperation in the public goods game
Abstract
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.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 November 2012
 DOI:
 10.1088/17425468/2012/11/P11017
 arXiv:
 arXiv:1208.0468
 Bibcode:
 2012JSMTE..11..017W
 Keywords:

 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics;
 Computer Science  Computer Science and Game Theory;
 Computer Science  Social and Information Networks;
 06B30
 EPrint:
 12 pages, 6 figures, submitted to Journal of Statistical Mechanics: Theory and Experiment(JSTAT)