This article is cited in 7 papers

Stochastic Systems, Queuing Systems

Probabilistic model of threshold behavior in multiagent systems

V. V. Breer, A. D. Rogatkin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The threshold behavior model in the multiagent systems was considered relying on the M. Granovetter model that was extended to the case of stochastic quantities of the agent thresholds. An explicit form of the action functional whose maximum value corresponds to the most probable trajectory of system dynamics was determined using the methods of great deviations. Relation of the action functional with the deterministic trajectory of the Granovetter model and its relation with the relative entropy was established.

Presented by the member of Editorial Board: A. I. Kibzun

Received: 25.09.2013

 English version: Automation and Remote Control, 2015, 76:8, 1369–1386

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