Direct confrontation between majority rule (MR) and the most in-depth studied scoring rules - the Borda rule (BR) and the plurality rule (PR) - on the basis of their fundamental weaknesses (violating one of the two principles: majoritarianism and suitable recognition of preference intensity) has...

We propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r...