Continuous-Time Granovetter Model

Resumo

In this paper, the model of collective conformity behavior proposed in [6] and originally motivated by M. Granovetter [7] is investigated. The probabilistic foundations of the model are considered at the micro level. The model properties are studied in the case when the number of agents tends to infinity, with derivation of the transfer equation. Finally, it is established that the system trajectories coincide with the ones of an isolated Hamiltonian system.