of influence includes with high probability some of the neighbors of the target agent and the super-agent traits values are not on the majority frequency of appearance, the latter succeed in inducing a monoculture as the strength ϵ increases. In particular, for ϵ ≥ 1, an almost monocultural state with < S > /A ≥ 0 . 7 is already induced, i.e., at least 70% of the society belongs to the biggest culture for all values of q included. For ϵ = 1, we have min( p$_{is}$ ) = 0.25 (this is obtained considering null overlap between the super-agent s and an agent i ) but the super-agent can induce the 70% of the society to belongs to the bigger culture with its own information (according to the value of the parameter δ shown in Fig. 2), for any initial diversity q . The maximum value of ϵ included on Fig. 3 is ϵ = 27, which gives min( p$_{is}$ ) = 0.90. Furthermore, when comparing in Fig. 3 the panels a) and b) the same results are obtained as when comparing in Fig. 2 a) and b). In this case the inclusion of a two-step neighbors in the social influence dynamics of the system strongly decreases the value of S for the case q = 10 and 30. In order to get additional insights on the system dynamics, we next consider the same model but including noise. In Fig. 4 it is reported the dependence of the parameter < S > /A with respect to different noise levels for several values of q , ϵ and L . In panels a) and b) we have considered one- and two-steps neighborhoods, respectively. The noise included ranges between 0 and 0.45. As can be seen, social influence makes absorbing states more stable to a bigger range of noise level than dyadic interaction, as already reported in Ref. [21]. In general there is no qualitative change for at least three order of magnitude for all the values of q , ϵ and L used. For higher strength of Mass Media ( ϵ = 3.00, min( p$_{is}$ ) = 0.5) the final absorbing state remains almost monocultural for four orders of noise level and finally for noise values higher than 0.1 the system is driven to a full monocultural state reached at r = 0.45 approximately. The situation is different for low values of super-agent strength ( ϵ = 0.05). In this case the final absorbing state is also stable to different noise levels, but only for three orders of magnitude. In panel a) of the Figure it can be seen that for q = 5 and noise level higher than r = 0.01, the system is driven to a monoculture. For increasing noise level at q = 10 and 30 (for ϵ = 0.05) there is first a reinforcement of the multicultural state, given by decreasing values of < S > /A (stronger induced for q = 30), and later for higher values of r it is induced a monoculture. All the calculations shown in black circles have been done with a network size of L = 50. In order to study if the stability of the final absorbing state to noise is robust with respect to the network size, we have also explored the case L 13