Competitive interactions' modeling: dynamics of social networks

Dynamic models of internet user interaction and self-organization were investigated. It was demonstrated that the Maurer-Hubermans model with constant coefficients adequately describes the dynamics of users in the short term. Variable coefficients of competition significantly expands the possibility of describing the real data dynamics -there are several stable states of equilibrium in the system, dynamics of the users depends on the strategy of competitors, the final state of the system is sensitive to initial conditions.