A Utility Representation for Temporally Myopic Partial Orderings.

Abstract

A utility representation for partial orders defined on a denumerably infinite programme space is obtained for the case where the partial orders satisfy a weak form of temporal myopia. Nonstandard techniques are employed, by which the space of programmes is imbedded in a hyper-linear space of *Finite dimension. The relative topology on the space of programmes induced by the product S-topology on the hyper-linear space is sufficient for the existence of a continuous linear functional in the algebraic dual of the programme space.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA072460

Entities

People

  • Alain A. Lewis

Organizations

  • Harvard University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Biological Products
  • Continuity
  • Corporations
  • Governments
  • Military Research
  • Numbers
  • Real Numbers
  • Sequences
  • Standards
  • Theorems
  • Topology
  • United States
  • United States Government
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design

Technology Areas

  • Space