< Back to Article

Emergence of cooperation promoted by higher-order strategy updates

Fig 3

Impact of varying hyperdegrees and orders.

a- b, Scatter plots of the critical synergy factor versus hyperdegree k ( a) and order g ( b) in homogeneous hypergraphs, where the hypergraphs have a size of 100, with a fixed order of 4 in a and a fixed hyperdegree of 4 in b. c- d, Scatter plots of the critical synergy factor versus hyperdegree heterogeneity in order-heterogeneous hypergraphs ( c) and order heterogeneity in hyperdegree-heterogeneous hypergraphs ( d), where the hypergraphs have a size of 100, with an average order of 8 and an average hyperdegree of 8 in c and d. Here, , where is the second moment of the hyperdegree, and , where is the second moment of the order. The scatter points in all plots are based on numerical calculations according to Table 1, on hypergraphs with corresponding topological configurations. All hypergraphs are constructed using the configuration model based on the given hyperdegree and order sequences.

doi: https://doi.org/10.1371/journal.pcbi.1012891.g003