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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.

Suggested Citation

  • José Apesteguía & Miguel A. Ballester, 2005. "Minimal Books Of Rationales," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0501, Departamento de Economía - Universidad Pública de Navarra.
  • Handle: RePEc:nav:ecupna:'0501'
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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, 2008. "Uncovered set choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 271-279, August.

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    Keywords

    Rationalization; Independence of irrelevant alternatives; Order partition; Computational effort.;

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