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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 

