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Minimal Books Of Rationales

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Author Info
José Apesteguía () (Departamento de Economía-UPNA)
Miguel A. Ballester (Departamento de Economía-UPNA)

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Abstract

Kalai, Rubinstein, and Spiegler (2002) propose the rationalization of choice functions that violate the “independence of irrelevant alternatives” axiom through a collection (book) of linear orders (rationales). In this paper we present an algorithm which, for any choice function, gives (i) the minimal number of rationales that rationalizes the choice function, (ii) the composition of such rationales, and (iii) information on how choice problems are related to rationales. As in the classical case, this renders the information given by a choice function completely equivalent to that given by a minimal book of rationales. We also study the structure of several choice procedures that are prominent in the literature.

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File URL: ftp://ftp.econ.unavarra.es/pub/DocumentosTrab/DT0501.PDF
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Publisher Info
Paper provided by Departamento de Economía - Universidad Pública de Navarra in its series Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra with number 0501.

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Length: 16 pages
Date of creation: Feb 2005
Date of revision:
Publication status: Published in
Handle: RePEc:nav:ecupna:'0501'

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Related research
Keywords: Rationalization; Independence of irrelevant alternatives; Order partition; Computational effort.;

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This page was last updated on 2009-11-27.

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