IDEAS home Printed from https://ideas.repec.org/p/eve/wpaper/06-01.html
   My bibliography  Save this paper

A Simple Test of Richter-Rationality

Author

Listed:
  • 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)

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.

Suggested Citation

  • Marc-Arthur Diaye & Michal Wong-Urdanivia, 2006. "A Simple Test of Richter-Rationality," Documents de recherche 06-01, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    • Handle: RePEc:eve:wpaper:06-01
    as

    Download full text from publisher

    File URL: https://www.univ-evry.fr/fileadmin/mediatheque/ueve-institutionnel/03_Recherche/laboratoires/Epee/wp/06-01.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    3. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Chateauneuf, Alain, 1987. "Continuous representation of a preference relation on a connected topological space," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 139-146, April.
    5. Dombi, Jozsef & Vincze, Nandor J., 1994. "Universal characterization of non-transitive preferences," Mathematical Social Sciences, Elsevier, vol. 27(1), pages 91-104, February.
    6. Bridges, Douglas S., 1983. "Numerical representation of intransitive preferences on a countable set," Journal of Economic Theory, Elsevier, vol. 30(1), pages 213-217, June.
    7. Agaev, Rafig & Aleskerov, Fuad, 1993. "Interval choice: classic and general cases," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 249-272, November.
    8. Anand, Paul, 1995. "Foundations of Rational Choice Under Risk," OUP Catalogue, Oxford University Press, number 9780198774426.
    9. Fishburn, P. C., 1984. "SSB utility theory and decision-making under uncertainty," Mathematical Social Sciences, Elsevier, vol. 8(3), pages 253-285, December.
    10. Sippel, Reinhard, 1997. "An Experiment on the Pure Theory of Consumer's Behaviour," Economic Journal, Royal Economic Society, vol. 107(444), pages 1431-1444, September.
    11. Rodriguez-Palmero, Carlos, 1997. "A representation of acyclic preferences," Economics Letters, Elsevier, vol. 54(2), pages 143-146, February.
    12. William T. Harbaugh & Kate Krause & Timothy R. Berry, 2001. "GARP for Kids: On the Development of Rational Choice Behavior," American Economic Review, American Economic Association, vol. 91(5), pages 1539-1545, December.
    13. Bronars, Stephen G, 1987. "The Power of Nonparametric Tests of Preference Maximization [The Nonparametric Approach to Demand Analysis]," Econometrica, Econometric Society, vol. 55(3), pages 693-698, May.
    14. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
    15. Diaye, Marc-Arthur, 1999. "Variable intervals model," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 21-33, July.
    16. Jamison, Dean T & Lau, Lawrence J, 1973. "Semiorders and the Theory of Choice," Econometrica, Econometric Society, vol. 41(5), pages 901-912, September.
    17. Famulari, Melissa, 1995. "A Household-Based, Nonparametric Test of Demand Theory," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 372-382, May.
    18. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00084390, HAL.
    2. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Post-Print halshs-00084390, HAL.
    3. Aluma Dembo & Shachar Kariv & Matthew Polisson & John Quah, 2021. "Ever since Allais," IFS Working Papers W21/15, Institute for Fiscal Studies.
    4. Heufer, Jan, 2008. "A Geometric Measure for the Violation of Utility Maximization," Ruhr Economic Papers 69, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    5. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2010. "GARP violation, Economic Environment Distortions and Shadow Prices: Evidence from Household Expenditure Panel Data," Post-Print halshs-00449463, HAL.
    6. James Andreoni & William Harbaugh, 2005. "Power Indicies for Revealed Preference Tests," Levine's Bibliography 784828000000000181, UCLA Department of Economics.
    7. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2009. "GARP violation, Economic Environment Distortions and Shadow Prices : Evidence from Household Expenditure Panel Data," Post-Print halshs-00376747, HAL.
    8. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2009. "Degrees of cooperation in household consumption models: a revealed preference analysis," Working Papers of Department of Economics, Leuven ces09.20, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    9. Cox, James C., 2010. "Some issues of methods, theories, and experimental designs," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 24-28, January.
    10. Paola Manzini & Marco Mariotti, 2006. "Two-stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," Working Papers 561, Queen Mary University of London, School of Economics and Finance.
    11. repec:zbw:rwirep:0069 is not listed on IDEAS
    12. Raymond Fisman & Shachar Kariv & Daniel Markovits, 2007. "Individual Preferences for Giving," American Economic Review, American Economic Association, vol. 97(5), pages 1858-1876, December.
    13. Nakamura, Yutaka, 2002. "Semimetric thresholds for finite posets," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 37-43, September.
    14. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2009. "GARP violation, Economic Environment Distortions and Shadow Prices : Evidence from Household Expenditure Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00376747, HAL.
    15. Heufer, Jan, 2014. "Nonparametric comparative revealed risk aversion," Journal of Economic Theory, Elsevier, vol. 153(C), pages 569-616.
    16. Jim Engle-Warnick & Natalia Mishagina, 2014. "Insensitivity to Prices in a Dictator Game," CIRANO Working Papers 2014s-19, CIRANO.
    17. Brocas, Isabelle & Carrillo, Juan D. & Combs, T. Dalton & Kodaverdian, Niree, 2019. "Consistency in simple vs. complex choices by younger and older adults," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 580-601.
    18. Dziewulski, Paweł, 2020. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency index," Journal of Economic Theory, Elsevier, vol. 188(C).
    19. Jan Heufer, 2014. "A geometric approach to revealed preference via Hamiltonian cycles," Theory and Decision, Springer, vol. 76(3), pages 329-341, March.
    20. Eileen Tipoe & Abi Adams & Ian Crawford, 2022. "Revealed preference analysis and bounded rationality [Consume now or later? Time inconsistency, collective choice and revealed preference]," Oxford Economic Papers, Oxford University Press, vol. 74(2), pages 313-332.
    21. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eve:wpaper:06-01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Samuel Nosel (email available below). General contact details of provider: https://edirc.repec.org/data/epevrfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.