A characterization of acyclic preferences on countable sets
Year of publication: 1991
Issue: 1
Pages: 1-21
Type: Working paper
Abstract
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.