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 necessary 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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GARP ; choice functions ; Richter-rationality ; variable intervals functions.;
Other versions of this item:
- 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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- Philippe Février & Michael Visser, 2000.
"AStudyof Consumer Behavior Using Laboratory Data,"
2000-12, Centre de Recherche en Economie et Statistique.
- Philippe FÃ©vrier & Michael Visser, 2004. "A Study of Consumer Behavior Using Laboratory Data," Experimental Economics, Springer, 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.
- Jamison, Dean T & Lau, Lawrence J, 1973. "Semiorders and the Theory of Choice," Econometrica, Econometric Society, vol. 41(5), pages 901-12, September.
- Sippel, Reinhard, 1997. "An Experiment on the Pure Theory of Consumer's Behaviour," Economic Journal, Royal Economic Society, vol. 107(444), pages 1431-44, September.
- Andreoni,J. & Harbaugh,W.T., 2005.
"Power indices for revealed preference tests,"
10, Wisconsin Madison - Social Systems.
- James Andreoni & William Harbaugh, 2005. "Power Indicies for Revealed Preference Tests," Levine's Bibliography 784828000000000181, UCLA Department of Economics.
- James Andreoni & William T. Harbaugh, 2006. "Power Indices for Revealed Preference Tests," Levine's Bibliography 122247000000001257, UCLA Department of Economics.
- 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.
- Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Fishburn, P. C., 1984. "SSB utility theory and decision-making under uncertainty," Mathematical Social Sciences, Elsevier, vol. 8(3), pages 253-285, December.
- Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-39, March.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
- Diaye, Marc-Arthur, 1999. "Variable intervals model," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 21-33, July.
- 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.
- 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.
- Anand, Paul, 1995. "Foundations of Rational Choice Under Risk," OUP Catalogue, Oxford University Press, number 9780198774426.
- Agaev, Rafig & Aleskerov, Fuad, 1993. "Interval choice: classic and general cases," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 249-272, November.
- 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.
- Rodriguez-Palmero, Carlos, 1997. "A representation of acyclic preferences," Economics Letters, Elsevier, vol. 54(2), pages 143-146, February.
- 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.
- Dombi, Jozsef & Vincze, Nandor J., 1994. "Universal characterization of non-transitive preferences," Mathematical Social Sciences, Elsevier, vol. 27(1), pages 91-104, February.
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