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Upravlenie Bol'shimi Sistemami, 2016, Issue 60, Pages 139–160
(Mi ubs865)
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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.
Received: August 19, 2015 Published: March 31, 2016
Citation:
A. D. Rogatkin, “Continuous Granovetter model”, UBS, 60 (2016), 139–160; Autom. Remote Control, 79:6 (2018), 1125–1138
Linking options:
https://www.mathnet.ru/eng/ubs865 https://www.mathnet.ru/eng/ubs/v60/p139
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Abstract page: | 264 | Full-text PDF : | 83 | References: | 41 |
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