Dynamics of an agent-based opinion model with complete social connectivity network

In this report we discuss a simple agent based model for opinion dynamics where each of agent have complete social connectivity network with other agents. The state of an agent is described by three attributes. In our model, both the opinion level and attributes of an agent are affected by its social connectivity with other connected agents. We also introduce the notions of opinion and connectivity perception indices to characterize the intrinsic behavior of an agent that influence its connectivity with the corresponding connected neighbors. Shannon-like entropy is used to describe the dynamical characteristics of the developed model in terms of opinion level. The opinion dynamics in the presence of isolated and stubborn agents are also discussed. We found that the presence of stubborn agents demonstrate a remarkable phase-transition phenomenon on the corresponding opinion levels.