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. 2019 Aug 29;9:12575. doi: 10.1038/s41598-019-49075-3

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Time evolution of the cooperation level f_C in the stationary state, as obtained for different values of τ in the snowdrift game (T = 2, S = 0.5, left panel) and in the stag-hunt game (T = 0.92, S = −0.5, right panel). The applied values of τ are indicated alongside the corresponding lines. For a proper comparison we have used a normalized time scale in 1/τ units. It can be observed that the relaxation dynamics for the snowdrift game is fast, while for the harmony game and the stag-hunt game, it is comparatively much slower. This is due to the fundamentally different spatiotemporal dynamics, which in the former case is governed by locally ordered role-separating checkerboard patterns, while in the later case it is governed by globally ordered compact clusters.