Minimal Books of Rationales

• Autores: José Apesteguia, Miguel A. Ballester
• Localización: Documentos de Trabajo ( Universidad Pública de Navarra. Departamento de Economía ), Nº. 1, 2005
• Idioma: inglés
• Enlaces
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• Resumen

  • Kalai, Rubinstein, and Spiegler (2002) propose the rationalization of choice functions that violate the ¿independence o firrelevant 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.