Evolutionary dynamics on sequential temporal networks
Fig 4
Evolution of cooperation on synthetic networks.
We analyze four classes of underlying topologies of size N = 100: square lattices with periodic boundaries (abbreviated as SL), random regular graphs with average connectivity k = 6 (abbreviated as RR), Barabási-Albert scale-free networks with the linking number m = 3 (abbreviated as BA), and scale-free networks with initial attractiveness a = 50 and linking number m = 3 (abbreviated as AT). For each network, we obtain the numerical simulation of fixation probabilities by averaging over 106 independent Monte Carlo simulations. a, For the first evolutionary process, the fixation probabilities of these sequential temporal networks (horizontal solid lines) are greater than those of their corresponding static counterparts (horizontal dashed lines) under neutral drift, and, therefore, are also larger under weak selection for a wide range of benefit-to-cost ratios b/c. b, We investigate the relationship between fixation probabilities and the number of rounds g under the second evolutionary process. For these sequential temporal networks, the fixation probabilities are monotonically increasing with respect to g under neutral drift. When g goes to infinite, the fixation probabilities converge to the fixation probabilities under the first evolutionary process (black solid lines). Parameter values are c = 1 and δ = 0.025.