 Moulin (1980) has shown that when the domain of the social choice rule is restricted to single-peaked preference profiles, pairwise majority voting and other so-called ‘median voting’ schemes can satisfy the rest of the conditions of the Gibbard-Satterthwaite theorem. Similarly, when collective decisions are restricted to binary choices alone, which amounts to dropping the range constraint, majority voting satisfies the rest of the conditions. Other possible escape routes from the theorem open up if resoluteness is dropped. In the limiting case in which all alternatives are always chosen, the other conditions are vacuously satisfied.