B Subiza

Set-Valued Utilities for Strict Partial Orders.

So far, only weak utility functions have been used to represent strict partial orders, but such a representation is not completely satisfactory, since we can not reconstruct the preference relation by simply knowing the weak utility function. The purpose of this paper is to present a type of numerical representation for strict partial orders, in such a way that recovering the preference relation is possible. Taking into account that (2(ℝ), superset) is a strict partial order, we consider set-valued utilities, namely, set-valued mappings, such that they admit a selection which is a weak utility function. Copyright 1999 Academic Press.