FIG. 2: Final absorbing state in the Axelrod model with social influence as a function of q for different values of ϵ . In dots-symbol line is the fraction of the biggest culture while in dotted line is the fraction of Mass Media information on the society (only in panel a)). The parameter A is the area of the system ( A = L $^{2}$). a) Calculation done including one-step neighbors (von Neumann neighborhood). b) Calculation done including two-step neighbors. The calculation is done with F = 3, L = 50 and averages are taken over 200 different random initial conditions. values of ϵ induce a stronger multicultural final state given by higher values of < S > . To explain this result, we note that higher values of q mean there are initially a higher degree of cultural diversity on the society and this is reflected in sets of influence I with low number of neighbors, i.e., each set of influence I$_{i}$ will be frequently composed by the own agent i and by the super-agent s , and with low probability by the neighbors since they probably do not share any of their trait values with agent i . The probability of the super-agent to be included in the set of influence I increases for increasing value of ϵ . For higher q values, in 10 0.0 0.2 0.4 0.6 0.8 1.0 0 5 10 15 20 25 30 0.0 0.2 0.4 0.6 0.8 1.0 a ) e$_{ = 3.00}$ e$_{ = 0.00}$ e$_{ = 0.05}$ e$_{ = 1.00}$ <  S  >  / A <   > /  A b ) e$_{ = 3.00}$ e$_{ = 0.05}$ e$_{ = 1.00}$ <  S  > /  A q