On Stochastic Modifications of some Mathematical Models of Opinion Dynamics

Student: Volkova Elena

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Year of Graduation: 2019

In this paper we consider the Hegselman – Krause model which is a classical model of the opinions dynamics. This model describes the opinion evolution of agents group under the assumption that an opinion of each agent changes under the influence of other agents, however, the agent is influenced only by “close enough” agents. A stochastic modification of the classical model is constructed. We use simulation results to analyze the properties of the corresponding stochastic dynamic system, including the dependence of the number of opinions clusters on the model parameters. We investigate ergodic properties of the system.

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