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- Numerical Representation Of Choice Functions

Author

Listed:
  • Josep Enric Peris Ferrando

    (Universidad de Alicante)

  • Begoña Subiza

    (Universidad de Alicante)

  • Mª Carmen Sánchez

    (Universidad de Murcia)

Abstract

Numerical representations of choice functions allow the expression of a problem of choice as a problem of finding maxima of real valued functions, which requires less information to be defined and which is easier to work with. In this paper, the existence of numerical representations of choice functions by imposing assumptions directly on the choice function, is obtained. In particular, it is proved that (IIA) is a necessary and sufficient condition for a choice function to be representable, if the set of alternatives is countable, while the conjunction of (IIA) and a continuity condition is sufficient to ensure it in separable topological spaces.

Suggested Citation

  • Josep Enric Peris Ferrando & Begoña Subiza & Mª Carmen Sánchez, 1998. "- Numerical Representation Of Choice Functions," Working Papers. Serie AD 1998-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:1998-01
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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1998-01.pdf
    File Function: Fisrt version / Primera version, 1998
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    Keywords

    choice function; numerical representation;

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