A Simple Test of Richter-Rationality

Marc-Arthur Diaye () and Michal Wong-Urdanivia ()
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Marc-Arthur Diaye: Centre d’Etude de l’Emploi and University of Evry (EPEE)
Michal Wong-Urdanivia: Centre de Recherche en Mathématiques, Statistique, et Economie Mathématique (CERMSEM), University Paris 1 Panthéon-Sorbonne

No 06-01, Documents de recherche from Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne

Abstract: We propose in this note a simple non-parametric test of Richterrationality which is the basic definition of rationality used in choice functions theory. Loosely speaking, the data set is rationalizable in the Richter’ sense if there exists a complete-acyclic binary relation that rationalizes the data set. Hence a data set is rationalizable in the Richter’ sense if there exists a variable intervals function which rationalizes this data set. Since an acyclic binary relation is not necessary transitive then the proposed Richter-rationality test is weaker than GARP. Finally the test is performed over Mattei’s1 data sets.

Keywords: GARP; Choice Functions; Richter-Rationality; Variable Intervals Functions (search for similar items in EconPapers)
JEL-codes: C14 D11 D12 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2006
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