Volume 124, Number 4, November 2018
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||12 December 2018|
Coevolutionary resolution of the public goods dilemma in interdependent structured populations
1 School of Statistics and Mathematics, Yunnan University of Finance and Economics Kunming, Yunnan 650221, China
2 World Hub Research Initiative, Institute for Innovative Research, Tokyo Institute of Technology 152-8550 Tokyo, Japan
3 Faculty of Natural Sciences and Mathematics, University of Maribor - Koroška cesta 160, SI-2000 Maribor, Slovenia
4 Center for Applied Mathematics and Theoretical Physics, University of Maribor - Mladinska 3, SI-2000 Maribor, Slovenia
5 Complexity Science Hub Vienna - Josefstädterstraße 39, A-1080 Vienna, Austria
6 School of Mechanical Engineering and Center for OPTical IMagery Analysis and Learning (OPTIMAL), Northwestern Polytechnical University - Xi'an 710072, China
Received: 4 September 2018
Accepted: 15 November 2018
We study the coevolution of strategies and network interdependence in the context of a public goods dilemma. Specifically, players occupy the nodes of a network and engage in public goods games, with a twist that those who post a good result in terms of payoff are allowed to form external links with players from another network. These external links may bring additional utilities to players. Moreover, the links between players on different networks become stronger if players keep posting good results, but weaken otherwise. By means of Monte Carlo simulations, we show that, as long as the benchmark for recognition is neither too high nor too low, a “wave of heterogeneity” gives rise to cross-network links with a wide range of different strengths. This spontaneous emergence of heterogeneity seeds strong cooperative clusters that protect cooperators from the invasions of defectors. Ultimately, cooperation prevails, thus revealing a resolution of the public goods dilemma in structured populations.
PACS: 89.75.-k – Complex systems / 64.60.aq – Networks / 05.45.-a – Nonlinear dynamics and chaos
© EPLA, 2018
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