Before revision:  This class of dynamics generalizes other well-known dynamics, e. g., Voter and 3-Majority, which have been studied in the literature as distributed algorithms for consensus .
After revision:  Differently from previous work, we study the robustness of the k-Majority in maintaining a majority, that we consider \mathcal{R g., Voter and 3-Majority, which have been studied in the literature as distributed algorithms for consensus .