Extended Data Fig. 4: Heterogeneous graphs allow efficient evolution of prosocial behaviour.
a, The distribution of the critical benefit-to-cost ratio under PC updating for 106 preferential-attachment graphs of size N = 100 (see Methods). For ff-goods, these structures often have critical benefit-to-cost ratios that are less than one. However, the critical ratio for pp-goods is always greater than one. b, When \(b/c={\left(b/c\right)}^{* }\), these graphs result in a majority (but not all) of the population being worse-off in the all-producer state than in the all-non-producer state.
