Mobility enhances cooperation in the presence of decision-making mistakes on complex networks.

Human migration has profound effects on social change. The introduction of success-driven migration to selfish individuals has revealed significant effects on the promotion of cooperation in spatial evolutionary games. In this study, we generalize the interaction structure from a spatial lattice to complex networks, such as Erdős-Renyi random networks and Barabási-Albert scale-free networks. Keeping the topology of networks, we investigate the robustness of cooperation when individuals can make decision errors. Numerical simulations demonstrate the effectiveness of success-driven migration on the enhancement of cooperation confronted with individual decision-making mistakes. In contrast, even a very low probability of decision errors can decrease the level of cooperation without mobility. Statistical analysis further exhibits the relation between network topology and migratory behavior.