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Three Kinds Of Utility Functions From The Measure Concept

Author

Listed:
  • Josep Enric Peris Ferrando

    (Universidad de Alicante)

  • Begoña Subiza

    (Universidad de Alicante)

Abstract

In this paper we analyze the existence of three different kinds of continuous numerical representations for binary relations by using a finite measure defined on the space of alternatives. Each one of these kinds of representation is suitable for a different class of binary relations. Thus we obtain the traditional utility function for continuous preorders and weaker representations by dropping continuity or transitivity conditions (in particular, for lexicographical orders or acyclic relations).

Suggested Citation

  • Josep Enric Peris Ferrando & Begoña Subiza, 1995. "Three Kinds Of Utility Functions From The Measure Concept," Working Papers. Serie AD 1995-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1995-11
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1995-11.pdf
    File Function: Fisrt version / Primera version, 1995
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