Network Structure Properties and Opinion Dynamics in Two-Layer Networks with Hypocrisy

We extended a social Zachary’s karate club network by adding the second layer or internal layer of communication. Different models of opinion dynamics are represented on such two-layer network. The presence of internal layer is motivated by the fact that individuals can share their real opinions with their close friends. In external layer, individuals express their opinions publicly. Starting from a real structure of the external layer defined as Zachary’s karate club, we observe how opinion dynamics is affected by internal layer, i.e. how consensus time and winning rate change depending on an internal layer structure. We find significantly strong correlation between internal graph density and consensus time, as well as group degree centrality and consensus time.