Opinion dynamics with the contrarian deterministic effect and human mobility on lattice

Opinion dynamics under the influence of the contrarian deterministic effect and human mobility on the two‐dimensional lattice is studied. In the model, the opinion is a binary variable and some shortcuts are added with the adding probability P_s. At each time step, each agent with shortcuts is chosen as the mobile one with the mobility probability P_m and moves to one of his immobile neighbors along shortcuts randomly. Then, the immobile agents update their opinions based on the majority rule with p_f, which is the Fermi function of the interaction noise T due to the contrarian deterministic effect. We find that some appropriate interaction noise T enhances the formation of community around T_c. And human mobility enhances the formation of community when , where T_c is equal to the average degree and independent of the network size N and the mobility probability P_m through the theoretical and numerical analysis. Furthermore, we also find that the system with larger degree and the self‐feedback of agent have stronger robustness in the opinion formation with the contrarian deterministic effect. © 2014 Wiley Periodicals, Inc. Complexity 20: 43–49, 2015