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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
D.V. Koroliouk, M.L. Bertotti, V.S. Koroliuk

STOCHASTIC BEHAVIORAL MODELS. CLASSIFICATION

Abstract. Stochastic behavioral models are specified by a difference evolutionary equation for the probabilities of binary alternatives. The classification of stochastic behavioral models is analyzed by the limit comportment of alternatives probabilities. The main property of classification is characterized by three types of equilibrium: attractive, repulsive, and dominant. The stochastic behavioral models are classified by using the stochastic approximation.

Keywords: evolutionary behavioral process, stochastic behavioral process, equilibrium, attractive model, repulsive model, dominant models, generator of discrete Markov process.



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Королюк Дмитрий Владимирович,
кандидат физ.-мат. наук, старший научный сотрудник Института телекоммуникаций и глобального информационного пространства НАН Украины, Киев,
e-mail: dimitri.koroliouk@ukr.net

Бертотти Мария Летиция,
профессор математики Свободного Университета Больцано/Бозена, Больцано, Италия,
e-mail: marialetizia.bertotti@unibz.it

Королюк Владимир Семенович,
академик НАН Украины, советник дирекции Института математики НАН Украины, Киев,
e-mail: vskorol@yahoo.com

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