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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2016 Issue 60, Pages 139–160 (Mi ubs865)

Control in Social and Economic Systems

Continuous Granovetter model

A. D. Rogatkin

Institute of Control Sciences of RAS

Abstract: In this paper the model of collective conformal behavior proposed in [6] and originally motivated by M.Granovetter [7] is investigated. Probabilistic foundations of the model are considered at micro level. The model properties are studied in the case when the number of agents tends to infinity and it is shown that the transport equation holds. It is proved that the system trajectories coincide with trajectories of an isolated Hamiltonian system.

Keywords: Granovetter model, threshold behavior, conformism, transfer equation, Hamiltonian system, Schrodinger equation.

UDC: 51-77
BBK: 22.171

Received: August 19, 2015
Published: March 31, 2016


 English version:
Automation and Remote Control, 2018, 79:6, 1125–1138

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© Steklov Math. Inst. of RAS, 2026