ON THE CONTINUITY PROPERTIES OF PARETIAN UTILITY,

Abstract

In the study of real-valued 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 non-degenerate 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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0423518

Entities

People

  • Gerard Debreu

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Continuity

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space