Evolutionary dynamics of social tolerance in the economic interaction model with local social cost functions

Abstract

ABSTRACTThe evolutionary dynamics of social tolerance in a society with local social cost functions have been discussed. We show that, very different from the global function case studied previously, dynamics of social tolerance in a society with local social cost functions is integrable in phase space. The exact solution of the evolutionary dynamics in phase space is obtained, and the evolutionary trajectories are discussed by using the Kolmogorov–Arnold–Moser theorem. We show that the property of steady states is closely related to the group populations. We also discuss the necessary condition of the full tolerance steady state, and it is demonstrated that both global and local social cost functions have the same necessary condition of achieving full tolerance.