Collective Behavior in Cascade and Schelling Model

There are growing interests for studying collective behavior including the dynamics of markets, the emergence of social norms and conventions, and collective phenomena in daily life such as traffic congestion. In this paper, we focus on scale-free network and investigate the effect of number of interaction on collective behavior. In this paper, we found that collective behavior is affected in the structure of the social network and theta and the collective behavior was stochastic. Moreover, collective behavior is almost same as Schelling model, though the decision is not interactive and simultaneously. Then, we found that the collective behavior in Schelling model is similar to cascade model. That is, our results with heterogeneous rules or heterogeneous networks are possible to apply for cascade model.