A non progressive model of innovation diffusion in social networks

In this paper we deal with the diffusion of innovation in social network, presenting a non progressive instance of the well known Linear Threshold model. Each individual in the social network is influenced by the behaviour of its neighbours, and at each steps it decides either to adopt, abandon or maintain the innovation by following a threshold mechanism. We assume that the innovation is incepted in the network by a seed set of individuals which are assumed to maintain the innovation independently of the state of their neighbours for a finite time. Here we describe in details the evolution of the system depending on different initial conditions, and in particular we focus on how the system dynamics are influenced by the cohesive sub-groups of the network.