Phase Transition Dynamics of Collective Decision in Scale-Free Networks

A strategic collective decision model is introduced to investigate the role of decision transmission mechanism and interaction networks in determining the collective decision dynamics. Assuming that agents are located in a scale-free network and their decisions are interdependent of each other. In our model, it is found that the effective decision transmission rate λ exists a threshold λ_c=1, which marks the transition between the two regimes, i.e. the decision spreading and the decision disappearing in the population. Furthermore, λ is mainly determined by the decision transmission mechanism and interaction network's topology.