Consensus formation in a lattice society

Two variations of the voter´s model are investigated to study the process of forming a spontaneous consensus in a society. The first type of modification to the basic voter´s model, which we call Model-1, contains some majority-conscious members randomly chosen at every stage of simulation. It is observed that Model-1 always reaches a consensus (i.e. a stable region) even if some majority-conscious people are bound to oppose to the majority´s choice as long as the number of those rebels are smaller than a critical value (12-15% of the whole population). When the number of rebels exceeds this critical value, the total opinion begins oscillating around zero. In the second type, which we call Model-2, individual members of the society are given certain characters in a minimal sense. Our calculation seems to indicate that Model-2 cannot reach any sort of consensus within a reasonable time interval