Linear Utility for Partially Ordered Preferences

  • Peter C. Fishburn
Chapter
Part of the Theory and Decision Library book series (TDLU, volume 31)

Abstract

We have assumed thus far that the preference relation ≻ on ℳ or P is an asymmetric weak order. We now relax this assumption and consider linear utilities for ≻ on P that preserve ≻ in one direction only: for all P, q ∈ P,
$$ p \succ q \Rightarrow u(p) > u(q).$$

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Copyright information

© Springer Science+Business Media Dordrecht 1982

Authors and Affiliations

  • Peter C. Fishburn
    • 1
  1. 1.Bell Telephone Laboratories, Inc.Murray HillUSA

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