Figure 2. Fraction of cooperators f_C in dependence on the fraction ρ of the population that act as conformists, as obtained on the Erdős-Rényi random network for different selection rules indicated in the legend.

As for the scale-free network in Fig. 1, here assigning the conformist status to players with the highest degree (degree) or collective influence (collective) also leads to lower levels of cooperation than are obtained if the same status is assigned randomly (uniform) or to low-ranking players (inverse). Erdős-Rényi random networks with N = 10⁴ nodes and the weak prisoner’s dilemma (T, S) = (1.1, 0) parametrization have been used. Presented results are averages over 1000 independent realizations.