We consider a two-sided many-to-one matching model where universities offer scholarships to students. We show that every stable matching rule is manipulable by a university via destroying endowments under a fairly wide class of scholarship rules. Furthermore, we show that the set of Nash...

The problem of manipulation in voting is studied in the case of multi-valued choice. Well-known and new schemes of preferences extension enabling one to compare all possible social choices under an arbitrary number of alternatives are presented. The known indices of degree and efficiency of...