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. 2017 Aug 29;7:9737. doi: 10.1038/s41598-017-09935-2

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© The Author(s) 2017

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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Generation lengths for keeping cooperative regimes. (a and b) staying, (c and d) simple-standing, (e and f) image-scoring. (left) μ = 0.1% and (right) μ = 1%. In each trial, a run was broken off if either the cooperation rate was smaller than 0.2 or it reaches 500 generations. The histogram data are the generation lengths of 100 trials in each case. Each initial population consists of 100% discriminators. The parameter values are N = 100, q = 0.01, c = 1, e ₁ = 0.03, e ₂ = 0.03, T = 100,000, T _s = 90,000, and β = 3.