A simple test of Richter-rationality

Marc-Arthur Diaye () and Michal Wong-Urdanivia ()
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Marc-Arthur Diaye: CEE - Centre d'études de l'emploi - M.E.N.E.S.R. - Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche - Ministère du Travail, de l'Emploi et de la Santé
Michal Wong-Urdanivia: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

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Abstract: We propose in this note a simple non-parametric test of Richter-rationality 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's data sets.

Keywords: Richter-rationality; choice functions; GARP; variable intervals functions (search for similar items in EconPapers)
Date: 2005-10
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00084390
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Published in 2005

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