Asymptotic analysis of the “authority-society” model in case of two stable authority profiles

We consider the “authority-society” model by A. P. Mikhailov. We introduce the generalized approach which supposes the existence of two stable authority profiles. The first profile is related to the hierarchy having a large amount of powers, the second one – a small amount of powers. We have shown that depending on the initial conditions and system parameters the authority profile at large values of time appears to be close to either one of these profiles or the so-called contrast profile.