Opinion Spreading with Mobility on Scale-Free Networks

A continuum opinion dynamic model is presented based on two rules. The first one considers the mobilities of the individuals, the second one supposes that the individuals update their opinions independently. The results of the model indicate that the bounded confidence ε_c, separating consensus and incoherent states, of a scale-free network is much smaller than the one of a lattice. If the system can reach the consensus state, the sum of all individuals' opinion change O_c(t) quickly decreases in an exponential form, while if it reaches the incoherent state finally, O_c(t) decreases slowly and has the punctuated equilibrium characteristic.