Figure 3.

Analytic approximation of the model dynamics with the share of administration $N_A/N$ (A) and corresponding energy production per capita (B). Transparent solid lines show the results of an ensemble of 100 simulations of the microscopic network model for different values of $p_e$ . Dashed lines display the respective analytical approximation. (C) Histograms of collapse frequencies of the model, i.e., frequency of times at which energy production approaches zeros, $E=0$ . Bars located at time $t\ge 5000$ show right-censored cases of the simulation.