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Minimal Books Of Rationales

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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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Bibliographic 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
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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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Cited by:
  1. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
  2. Michele Lombardi, 2006. "Uncovered Set Choice Rule," Working Papers 563, Queen Mary, University of London, School of Economics and Finance.

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