Mathematical Approach to Social Network Modelling

Two approaches to studying social network (SN) models are considered: generalized and detailed descriptions. In first approach, the behavior of agents is considered “on average.” In the second approach, the individual decisions are taken into account. A comparison of these two approaches is given using the example of a threshold model of collective behavior with a single relative threshold. The issues of identifying detailed and generalized characteristics of SN based on data from Facebook and “X” are considered. The results of relevant simulation are presented and compared.