The fraction of cooperators for different <i>ω</i> and <i>γ</i> based on different behavioral updating.

The simulation is carried out 10 times on the random networks consisting of 100 nodes with average network connectivity 〈k〉 = 4. Other parameters are Imax = 1000, β = 10 and λ = 0.5. Compared with the pure evolution of structural balance, the initial network attributes may have less impact on the evolved cooperation. When not considering structural balance, the fraction of cooperators may decrease as ω increases if ω ≤ 0.7, while γ has a positive impact on the evolution only when ω > 0.8. Considering structural balance in the behavioral updating, both ω and γ have little impact on the evolution. In the pure structural balance, the fraction of cooperators may increase as γ increases. It increases as ω increases when γ > 0.5, but decreases as ω increases when γ < 0.5.