- NUMERICAL REPRESENTATION OF CHOICE FUNCTIONS

Josep E. Peris, Begoña Subiza and Mª Carmen Sánchez
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Mª Carmen Sánchez: Universidad de Murcia

Working Papers. Serie AD from Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie)

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.

Keywords: choice function; numerical representation (search for similar items in EconPapers)
Pages: 23 pages
Date: 1998-01
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http://www.ivie.es/downloads/docs/wpasad/wpasad-1998-01.pdf Fisrt version / Primera version, 1998 (application/pdf)

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Journal Article: Numerical representation of choice functions (1998)
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Persistent link: https://EconPapers.repec.org/RePEc:ivi:wpasad:1998-01

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