Effects of the planarity and heterogeneity of networks on evolutionary two-player games*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11575072 and 11475074) and the Fundamental Research Funds for the Central Universities (Grant No. lzujbky-2017-172).
Liu Xu-Sheng, Wu Zhi-Xi †, Guan Jian-Yue ‡
       

(color online) Comparison of the results of cooperation levels between the two kinds of heterogeneous network [the results in the WPSL (Fig. 2) minus the results in the URSF (Fig. 3), upper row] and between the two types of homogeneous network [the results in the HL (Fig. 4) minus the results in the RRG (Fig. 5), bottom row] with and without planarity under different update rules. The update rules respectively are (a) and (d) Fermi, (b) and (e) replicator, and (c) and (f) unconditional imitation.