A simple test of Richter-rationality
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.
|Date of creation:||2006|
|Publication status:||Published in Cahiers de la Maison des Sciences Economiques 2006.08 - ISSN 1624-0340. 2006|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00084390|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
- 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.
- Philippe Février & Michael Visser, 2004.
"A Study of Consumer Behavior Using Laboratory Data,"
Springer;Economic Science Association, vol. 7(1), pages 93-114, February.
- Philippe Fevrier & Michael Visser, 2000. "A Study of Consumer Behavior Using Laboratory Data," Econometric Society World Congress 2000 Contributed Papers 1095, Econometric Society.
- Philippe Février & Michael Visser, 2000. "AStudyof Consumer Behavior Using Laboratory Data," Working Papers 2000-12, Centre de Recherche en Economie et Statistique.
- 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.
- Agaev, Rafig & Aleskerov, Fuad, 1993. "Interval choice: classic and general cases," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 249-272, November.
- Andreoni,J. & Harbaugh,W.T., 2005. "Power indices for revealed preference tests," Working papers 10, Wisconsin Madison - Social Systems.
- James Andreoni & William T. Harbaugh, 2006. "Power Indices for Revealed Preference Tests," Levine's Bibliography 122247000000001257, UCLA Department of Economics.
- James Andreoni & William Harbaugh, 2005. "Power Indicies for Revealed Preference Tests," Levine's Bibliography 784828000000000181, UCLA Department of Economics.
- Fishburn, P. C., 1984. "SSB utility theory and decision-making under uncertainty," Mathematical Social Sciences, Elsevier, vol. 8(3), pages 253-285, December.
- 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.
- 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.
- Jamison, Dean T & Lau, Lawrence J, 1973. "Semiorders and the Theory of Choice," Econometrica, Econometric Society, vol. 41(5), pages 901-912, September.
- Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Dombi, Jozsef & Vincze, Nandor J., 1994. "Universal characterization of non-transitive preferences," Mathematical Social Sciences, Elsevier, vol. 27(1), pages 91-104, February.
- Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-439, March.
- Anand, Paul, 1995. "Foundations of Rational Choice Under Risk," OUP Catalogue, Oxford University Press, number 9780198774426.
- 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.
- Rodriguez-Palmero, Carlos, 1997. "A representation of acyclic preferences," Economics Letters, Elsevier, vol. 54(2), pages 143-146, February.
- Diaye, Marc-Arthur, 1999. "Variable intervals model," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 21-33, July.
- 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)
When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00084390. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.