The common choice theory in economics is based on the assumption that an individual is defined in terms of a binary preference relation. This preference relation is defined over alternatives without taking into account menu dependence and, in particular, freedom of choice or, more generally, the...

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...