When choosing a voting rule to make subsequent decisions, the members of a committee may wish this rule to be self-selected when it is the object of a choice among a menu of different possible voting rules. Such concepts have recently been explored in Social Choice theory, and a menu of voting...

We demonstrate that no set of neutral and different social choice correspondences exists, so that, if proposed to a group of individuals, it leads to a uniquely defined society, stable in an intuitive sense. Weakening this latter condition makes it possible to reintroduce possibility. This...