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Upravlenie Bol'shimi Sistemami, 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
References:
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.
Received: August 19, 2015
Published: March 31, 2016
English version:
Automation and Remote Control, 2018, Volume 79, Issue 6, Pages 1125–1138
DOI: https://doi.org/10.1134/S0005117918060115
Bibliographic databases:
Document Type: Article
UDC: 51-77
BBC: 22.171
Language: Russian
Citation: A. D. Rogatkin, “Continuous Granovetter model”, UBS, 60 (2016), 139–160; Autom. Remote Control, 79:6 (2018), 1125–1138
Citation in format AMSBIB
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\by A.~D.~Rogatkin
\paper Continuous Granovetter model
\jour UBS
\yr 2016
\vol 60
\pages 139--160
\mathnet{http://mi.mathnet.ru/ubs865}
\elib{https://elibrary.ru/item.asp?id=26163398}
\transl
\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 6
\pages 1125--1138
\crossref{https://doi.org/10.1134/S0005117918060115}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000435588100011}
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