Probabilistic model of threshold behavior in multiagent systems

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.