the system tends to reach a multicultural state while an increasing value of the super-agent strength ϵ pushes the system to a more cultural homogeneous absorbing state. In order to study the relative weight these parameters have over the system, we have also calculated the final absorbing state when both area A and strength ϵ increases. To accomplish this purpose we have established a dependence of the strength ϵ to the area given by the following relation: In Fig. 5 it is included, with square symbols, the results for k = 1 and 10. The values of the diversity G obtained are higher for k = 1, than for k = 10, due to the lower rate of increase of the strength ϵ and consequently a more multicultural final state is induced. Nevertheless, both curves increase for increasing area, which means that the area of the network has more weight than the strength ϵ on the dynamics of the system, as expected if we examine Eq. (1). In our case, the maximum overlap between the super-agent and any agent of the network is max( O$_{is}$ ) = F = 3. Then, for ϵ/F ≫ 1 (which occurs rapidly for increasing value of A in Eq. 2) it is obtained than p$_{is}$ −→ 1 and the relative increase of the probability p$_{is}$ is cancelled out with the effects of the increasing area. This explains also why the curves for k = 1 and 10 tend to the same values as the area is increased. Then, when social interaction is present according to the present model, increasing net- work size always drives the system to a multicultural state, while increasing super-agent strength prevents the system to reach the maximum possible of cultural configurations. Ad- ditionally, the saturation value of G seems independent of the value of the strength of the mass media, as far as our calculations have shown. We have also included in dotter line in Fig. 5 the analytical expression reported in Ref. [30] which is the average number of cultures in the totally disordered configuration were A = L 2 agents are randomly assigned with one of the q F available cultures. The expression is valid for A and q F very large. As can be seen, the prediction from Eq. (3) overestimates the values for the cultural diversity as a function of the area. The results are more different the higher the values of the super-agent strength ϵ are, since it is a factor that decreases the cultural differences between neighboring agents. ϵ = k ( A − 5) (2) < G > = q F ( 1 − $_{e}$− A/q F ) (3) 18