:   .., ..
:  
:  118
:   -
:  2025
:   .., .. // . - 2025. - . 118. - .286-299.
:   , , , ,
(.):  social networks, random process, opinion dynamics, consensus, and simulation modeling
:   . . ʠ - , , , , , , . , . , . , . . , . .
(.):  The relevance is due to the possibility of modeling the positions of agents in social networks based on empirical data. Currently, various approaches have been proposed to describe the dynamics of agents' opinions. These include game-theoretic models based on replicator dynamics, classical models of interacting particle systems motivated by statistical mechanics, Bayesian learning, and others. In these models, opinions are represented by either a finite number of discrete values or continuous values. The objective of this work is to develop a stochastic model and its description for the dynamics of agent positions in a social network, based on the Markov property for the positions of network participants. The main methods for specifying and describing the dynamics of agent positions as acontinuous variable are the theory of random processes, probability theory, and social networks. The study assumes that this dynamics can be represented as arandom process.

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