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A simplified test for preference rationality of two-commodity choice

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  • Samiran Banerjee
  • James Murphy

Abstract

We provide a simplified test to determine if choice data from a two-commodity consumption set satisfies the Generalized Axiom of Revealed Preference (GARP), and thus the preference or utility maximization hypothesis. We construct an algorithm for this test and illustrate its application on experimental choice data. Copyright Springer Science + Business Media, LLC 2006
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  • Samiran Banerjee & James Murphy, 2009. "A simplified test for preference rationality of two-commodity choice," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 252-252, June.
    • Handle: RePEc:kap:expeco:v:12:y:2009:i:2:p:252-252
    DOI: 10.1007/s10683-008-9205-5
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Varian, Hal R., 1988. "Revealed preference with a subset of goods," Journal of Economic Theory, Elsevier, vol. 46(1), pages 179-185, October.
    3. Cox, James C, 1997. "On Testing the Utility Hypothesis," Economic Journal, Royal Economic Society, vol. 107(443), pages 1054-1078, July.
    4. 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.
    5. Matzkin, Rosa L. & Richter, Marcel K., 1991. "Testing strictly concave rationality," Journal of Economic Theory, Elsevier, vol. 53(2), pages 287-303, April.
    6. Hugh Rose, 1958. "Consistency of Preference: The Two-Commodity Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 124-125.
    7. 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.
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    Cited by:

    1. Jan Heufer, 2013. "Testing revealed preferences for homotheticity with two-good experiments," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 114-124, March.
    2. Takashi Kunimoto & Roberto Serrano, 2020. "Rationalizable Incentives: Interim Implementation of Sets in Rationalizable Strategies," Working Papers 2020-15, Brown University, Department of Economics.
    3. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society, vol. 13(3), September.
    4. James Murphy & Samiran Banerjee, 2015. "A caveat for the application of the critical cost efficiency index in induced budget experiments," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 356-365, September.
    5. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society, vol. 13(3), September.
    6. Heufer, Jan, 2007. "Revealed Preference and the Number of Commodities," Ruhr Economic Papers 36, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    7. Marcos Demetry & Per Hjertstrand, 2023. "Consistent subsets: Computing the Houtman–Maks index in Stata," Stata Journal, StataCorp LP, vol. 23(2), pages 578-588, June.
    8. Aguiar, Victor H. & Hjertstrand, Per & Serrano, Roberto, 2020. "A Rationalization of the Weak Axiom of Revealed Preference," Working Paper Series 1321, Research Institute of Industrial Economics.
    9. Heufer, Jan & van Bruggen, Paul & Yang, Jingni, 2020. "Giving According to Agreement," Discussion Paper 2020-035, Tilburg University, Center for Economic Research.
    10. Heufer, Jan, 2014. "Nonparametric comparative revealed risk aversion," Journal of Economic Theory, Elsevier, vol. 153(C), pages 569-616.
    11. Pawe{l} Dziewulski & Joshua Lanier & John K. -H. Quah, 2024. "Revealed preference and revealed preference cycles: a survey," Papers 2405.08459, arXiv.org.
    12. Matej Opatrny, 2018. "Extent of Irrationality of the Consumer: Combining the Critical Cost Eciency and Houtman Maks Indices," Working Papers IES 2018/11, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2018.
    13. Heufer, Jan & Hjertstrand, Per, 2015. "Consistent subsets: Computationally feasible methods to compute the Houtman–Maks-index," Economics Letters, Elsevier, vol. 128(C), pages 87-89.
    14. Sebastian Bachler & Felix Holzmeister & Michael Razen & Matthias Stefan, 2021. "The Impact of Presentation Format and Choice Architecture on Portfolio Allocations: Experimental Evidence," Working Papers 2021-15, Faculty of Economics and Statistics, Universität Innsbruck.
    15. Marcos Demetry & Per Hjertstrand & Matthew Polisson, 2022. "Testing axioms of revealed preference in Stata," Stata Journal, StataCorp LP, vol. 22(2), pages 319-343, June.
    16. Jim Engle-Warnick & Natalia Mishagina, 2014. "Insensitivity to Prices in a Dictator Game," CIRANO Working Papers 2014s-19, CIRANO.
    17. Khouja, Moutaz & Pan, Jingming & Ratchford, Brian T. & Zhou, Jing, 2011. "Analysis of free gift card program effectiveness," Journal of Retailing, Elsevier, vol. 87(4), pages 444-461.
    18. 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.
    19. Samiran Banerjee & James Murphy, 2011. "Do rational demand functions differ from irrational ones? Evidence from an induced budget experiment," Applied Economics, Taylor & Francis Journals, vol. 43(26), pages 3863-3882.

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