Pairwise majority decision derives from this profile a weak social preference for \(A\) to \(B\), since there is one who weakly prefers \(A\) to \(B\), and one who weakly prefers \(B\) to \(A\). Similarly, it derives a weak social preference for \(B\) to \(C\). Transitivity requires a weak social preference for \(A\) to \(C\), but there is none. On the contrary, there is a strict social preference for \(C\) above \(A\), since that is the unanimous preference of the voters.  Still, this profile is single peaked with respect to the common ordering \(BCA\):