A simple test of Richter-rationality
AbstractWe 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.
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Bibliographic InfoPaper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06008.
Length: 24 pages
Date of creation: Oct 2005
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GARP; choice functions; Richter-rationality; variable intervals functions.;
Other versions of this item:
- Marc-Arthur Diaye & Michal Wong-Urdanivia, 2006. "A simple test of Richter-rationality," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00084390, HAL.
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-03-05 (All new papers)
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