This article is cited in 8 papers

Control in Social and Economic Systems

Stochastic Models of Social Networks

V. V. Breer

Institute of Control Sciences, Russian Academy of Sciences, Moscow

Abstract: Stochastic models of agents' behavior in social networks are considered. Basing on these models the value of a network is evaluated for agents and for the control center – the principal. Social networks are classified on the basis of the factors influencing the behavior of agents in a social network. Equilibrium states of social networks are described along with their fluctuations. Various interpretations are studied in the limit when agents' number grows to infinity; the influence of other micro characteristics of social networks is also investigated

Keywords: social networks; entropy; information; fluctuations; statistical physics; Gibbs measure; control science; phase transition.

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