Figure 2
From: A network-based microfoundation of Granovetter’s threshold model for social tipping
The final share of acting nodes r* in the microscopic network simulation for given shares of certainly acting nodes a. (a) With only around half the population being potentially active (i.e, \(p=P/N\approx 0.56\)) only a low threshold fraction (\(\rho =0.2\), purple) causes large shares of the contingent nodes to act. Grey areas indicate values of r* and a that would exceed p. (b) If every node in the network is potentially active (\(p=1\)), also an intermediate threshold fraction (\(\rho =0.5\), green) suffices to cause the entire population to act. In comparison with (a) one also observes that the transition observed for \(\rho =0.2\) occurs already for smaller choices of a. For a large threshold fraction (\(\rho =0.8\), yellow) no abrupt transition appears such that \({r}^{\ast }\,\lessapprox \,a\) for all considered choices of a and p.
