A simple test of Richter-rationality

Marc-Arthur Diaye () and Michal Urdanivia

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

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 necessarily transitive then the proposed Richter-rationality test is weaker than GARP. Finally the test is performed over Mattei's 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: 24 pages
Date: 2005-10
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Working Paper: A simple test of Richter-rationality (2005)
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