 Non-dictatorship: There does not exist an individual \(i \in N\) such that, for all \(\langle R_1, R_2 , \ldots ,R_n\rangle\) in the domain of \(f\) and all \(x\) in the range of \(f\), \(yR_i x\) where \(y \in f(R_1, R_2 , \ldots  ,R_n)\).[7]