
Accession Number : AD0423518
Title : ON THE CONTINUITY PROPERTIES OF PARETIAN UTILITY,
Corporate Author : CALIFORNIA UNIV BERKELEY
Personal Author(s) : Debreu,Gerard
Report Date : OCT 1963
Pagination or Media Count : 17
Abstract : In the study of realvalued representations (Paretian utility functions) of a completely preordered space (Space of actions preordered by preferences), the continuity properties of the representation can be made to rest on the following result. R will denote the extended real line, i.e., the real line with negative infinity and positive infinity adjoined. A degenerate set is a set having at most one element. Given a subset S of R, a lacuna of S is a nondegenerate interval of R without points of S but having a lower bound and an upper bound in S; a gap of S is a maximal lacuna of S. (Author)
Descriptors : (*REAL VARIABLES, FUNCTIONS(MATHEMATICS)), TOPOLOGY, CONFORMAL MAPPING
Distribution Statement : APPROVED FOR PUBLIC RELEASE