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Stochastic modifications of DeGroot opinion dynamics model

P. 21–23.
Anatoly Manita, Larisa Manita

We propose a stochastic variation of the famous DeGroot model  which is a basic Repeated Linear Updating Model. We study the limit distribution L∞ of the corresponding multidimensional stochastic process. We show that under some assumption  the limit distribution  exists. We calculate basic characteristics of the law L∞ and get some asymptotical results . Besides analytical results, we also use computer simulations to illustrate behavior of the system.

Language: English
DOI
Keywords: limit distributionDeGroot modelproblem of consensus

In book

Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts
-, 2024.
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