Popularity enhances the interdependent network reciprocity

Interdependent networks (IN) are collections of non-trivially interrelated graphs that are not physically connected, and provide a more realistic representation of real-world networked systems as compared to traditional isolated networks. In particular, they are an efficient tool to study the evolut...

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Main Authors: Chen Liu, Chen Shen, Yini Geng, Shudong Li, Chengyi Xia, Zhihong Tian, Lei Shi, Ruiwu Wang, Stefano Boccaletti, Zhen Wang
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aaf334
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author Chen Liu
Chen Shen
Yini Geng
Shudong Li
Chengyi Xia
Zhihong Tian
Lei Shi
Ruiwu Wang
Stefano Boccaletti
Zhen Wang
author_facet Chen Liu
Chen Shen
Yini Geng
Shudong Li
Chengyi Xia
Zhihong Tian
Lei Shi
Ruiwu Wang
Stefano Boccaletti
Zhen Wang
author_sort Chen Liu
collection DOAJ
description Interdependent networks (IN) are collections of non-trivially interrelated graphs that are not physically connected, and provide a more realistic representation of real-world networked systems as compared to traditional isolated networks. In particular, they are an efficient tool to study the evolution of cooperative behavior from the viewpoint of statistical physics. Here, we consider a prisoner dilemma game taking place in IN, and introduce a simple rule for the calculation of fitness that incorporates individual popularity, which in its turn is represented by one parameter α . We show that interdependence between agents in different networks influences the cooperative behavior trait. Namely, intermediate α values guarantee an optimal environment for the evolution of cooperation, while too high or excessively low α values impede cooperation. These results originate from an enhanced synchronization of strategies in different networks, which is beneficial for the formation of giant cooperative clusters wherein cooperators are protected from exploitation by defectors.
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spelling doaj.art-8df726a6abf74096abed5d7af497e4c92023-08-08T14:55:56ZengIOP PublishingNew Journal of Physics1367-26302018-01-01201212301210.1088/1367-2630/aaf334Popularity enhances the interdependent network reciprocityChen Liu0Chen Shen1Yini Geng2Shudong Li3Chengyi Xia4Zhihong Tian5Lei Shi6Ruiwu Wang7Stefano Boccaletti8Zhen Wang9Center for Ecology and Environmental Sciences, Northwestern Polytechnical University , Xi’an, 710072 People's Republic of ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics , Kunming, 650221, People's Republic of ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics , Kunming, 650221, People's Republic of ChinaCyberspace Institute of Advanced Technology, Guangzhou University , Guangzhou, 510006, People's Republic of ChinaKey Laboratory of Computer Vision and System and Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology , Tianjin, 300191, People's Republic of ChinaCyberspace Institute of Advanced Technology, Guangzhou University , Guangzhou, 510006, People's Republic of ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics , Kunming, 650221, People's Republic of ChinaCenter for Ecology and Environmental Sciences, Northwestern Polytechnical University , Xi’an, 710072 People's Republic of ChinaCNR, Institute of Complex Systems , Via Madonna del Piano, 10, I-50019, Sesto Fiorentino (FI), Italy; Unmanned Systems Research Institute, Northwestern Polytechnical University , Xi’an, 710072, People's Republic of ChinaSchool of Mechanical Engineering and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University , Xi’an, 710072, People's Republic of ChinaInterdependent networks (IN) are collections of non-trivially interrelated graphs that are not physically connected, and provide a more realistic representation of real-world networked systems as compared to traditional isolated networks. In particular, they are an efficient tool to study the evolution of cooperative behavior from the viewpoint of statistical physics. Here, we consider a prisoner dilemma game taking place in IN, and introduce a simple rule for the calculation of fitness that incorporates individual popularity, which in its turn is represented by one parameter α . We show that interdependence between agents in different networks influences the cooperative behavior trait. Namely, intermediate α values guarantee an optimal environment for the evolution of cooperation, while too high or excessively low α values impede cooperation. These results originate from an enhanced synchronization of strategies in different networks, which is beneficial for the formation of giant cooperative clusters wherein cooperators are protected from exploitation by defectors.https://doi.org/10.1088/1367-2630/aaf334interdependent networkscooperationevolutionary gamessynchronizaton
spellingShingle Chen Liu
Chen Shen
Yini Geng
Shudong Li
Chengyi Xia
Zhihong Tian
Lei Shi
Ruiwu Wang
Stefano Boccaletti
Zhen Wang
Popularity enhances the interdependent network reciprocity
New Journal of Physics
interdependent networks
cooperation
evolutionary games
synchronizaton
title Popularity enhances the interdependent network reciprocity
title_full Popularity enhances the interdependent network reciprocity
title_fullStr Popularity enhances the interdependent network reciprocity
title_full_unstemmed Popularity enhances the interdependent network reciprocity
title_short Popularity enhances the interdependent network reciprocity
title_sort popularity enhances the interdependent network reciprocity
topic interdependent networks
cooperation
evolutionary games
synchronizaton
url https://doi.org/10.1088/1367-2630/aaf334
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AT shudongli popularityenhancestheinterdependentnetworkreciprocity
AT chengyixia popularityenhancestheinterdependentnetworkreciprocity
AT zhihongtian popularityenhancestheinterdependentnetworkreciprocity
AT leishi popularityenhancestheinterdependentnetworkreciprocity
AT ruiwuwang popularityenhancestheinterdependentnetworkreciprocity
AT stefanoboccaletti popularityenhancestheinterdependentnetworkreciprocity
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