Stability and voting by committees with exit
The problem of a society choosing a subset of new members from a finite set of candidates is studied. The possibility that initial members of the society (founders) may want to leave it if they do not like the resulting new society is explicitly considered. It is shown that, if founders have separable (or additive) preferences, the unique strategy-proof and stable social choice function satisfying founders' sovereignty (on the set of candidates) is the one where candidates are chosen unanimously and no founder leaves the society.
scientific article; zbMATH DE number 2133616