Emergence of cooperation promoted by higher-order strategy updates
Fig 2
Numerical validations on homogeneous or heterogeneous hypergraphs.
The first row visualizes various hypergraphs: a, A homogeneous hypergraph with uniform hyperdegree and order; b, A hyperdegree-heterogeneous hypergraph with the same order but varying hyperdegrees following a power-law distribution; c, An order-heterogeneous hypergraph with the same hyperdegree but varying orders following a Poisson distribution; d, A hyperdegree-and-order-heterogeneous hypergraph with varying hyperdegrees and orders. The second row compares theoretical results (arrows) with simulation data (scatters) on these hypergraphs. Each dot represents the fixation probability times population size from independent simulations under weak selection
. The arrows indicate the theoretical results for critical synergy factors
listed in Table 1.