A characterization of acyclic preferences on countable sets
Any de publicació: 1991
Número: 1
Pàgines: 1-21
Tipus: Document de treball
Resum
In this paper a new numerical representation of preferences (by means of set-valued real functions) is proposed. Our representation extends the usual utility function (in case preferences are preorder-type) as well as the pairwise representation (in case preferences are interval-order type). Then, we provide a characterization of acyclic preference relations on countable sets as those admitting a set-valued numerical representation.