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A simple test of Richter-rationality

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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

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  • Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Cahiers de la Maison des Sciences Economiques b06008, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:b06008
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    More about this item

    Keywords

    GARP; choice functions; Richter-rationality; variable intervals functions;
    All these keywords.

    JEL classification:

    • 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

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