IDEAS home Printed from https://ideas.repec.org/p/bro/econwp/2018-3.html
   My bibliography  Save this paper

Cardinal Revealed Preference, Price-Dependent Utility, and Consistent Binary Choice

Author

Listed:
  • Victor H. Aguiar
  • Roberto Serrano

Abstract

We present a new notion of cardinal revealed preference that exploits the expenditure information in classical consumer theory environments with finite data. We propose a new behavioral axiom, Acyclic Enticement (AE), that requires the acyclicity of the cardinal revealed-preference relation. AE is logically independent from the Weak Axiom of Revealed Preference (WARP). We show that the Generalized Axiom of Revealed Preference (GARP), which characterizes the standard rational consumer, is logically equivalent to AE and WARP. We propose a new notion of rationalization by means of a price-dependent utility function that characterizes AE, which in particular is suitable for welfare analysis. We also propose a consistency condition for preference functions that is equivalent to WARP. We use our axiomatic decomposition to show, in experimental and scanner consumer-panel data sets, that AE explains the majority of the predictive success of GARP. Moreover, AE taken alone is superior in predictive success to both WARP and GARP.

Suggested Citation

  • Victor H. Aguiar & Roberto Serrano, 2018. "Cardinal Revealed Preference, Price-Dependent Utility, and Consistent Binary Choice," Working Papers 2018-3, Brown University, Department of Economics.
  • Handle: RePEc:bro:econwp:2018-3
    as

    Download full text from publisher

    File URL: https://www.brown.edu/academics/economics/sites/brown.edu.academics.economics/files/uploads/2018-3_paper.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Pollak, Robert A, 1977. "Price Dependent Preferences," American Economic Review, American Economic Association, vol. 67(2), pages 64-75, March.
    2. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1133-1165.
    3. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
    4. A. Fostel & H. Scarf & M. Todd, 2004. "Two new proofs of Afriat’s theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.
    5. Rahul Deb & Yuichi Kitamura & John K.-H. Quah & Jorg Stoye, 2017. "Revealed Price Preference: Theory and Stochastic Testing," Cowles Foundation Discussion Papers 2087, Cowles Foundation for Research in Economics, Yale University.
    6. John Quah, 2006. "Weak axiomatic demand theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 677-699, November.
    7. Sam COSAERT, 2013. "Revealed preferences for diamond goods," Working Papers Department of Economics ces13.26, KU Leuven, Faculty of Economics and Business, Department of Economics.
    8. Thomas Demuynck, 2015. "Statistical inference for measures of predictive success," Theory and Decision, Springer, vol. 79(4), pages 689-699, December.
    9. Gerasímou, Georgios, 2010. "Consumer theory with bounded rational preferences," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 708-714, September.
    10. repec:eee:jetheo:v:172:y:2017:i:c:p:163-201 is not listed on IDEAS
    11. Douglas M. Gale & Shachar Kariv & Syngjoo Choi & Raymond Fisman, 2007. "Revealing Preferences Graphically: An Old Method Gets a New Tool Kit," American Economic Review, American Economic Association, vol. 97(2), pages 153-158, May.
    12. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
    13. Paul A. Samuelson, 1968. "What Classical and Neoclassical Monetary Theory Really was," Canadian Journal of Economics, Canadian Economics Association, vol. 1(1), pages 1-15, February.
    14. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    15. Richard Blundell & Martin Browning & Ian Crawford, 2008. "Best Nonparametric Bounds on Demand Responses," Econometrica, Econometric Society, vol. 76(6), pages 1227-1262, November.
    16. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1201-1223.
    17. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    18. Stefano DellaVigna & Attila Lindner & Balázs Reizer & Johannes F. Schmieder, 2017. "Reference-Dependent Job Search: Evidence from Hungary," The Quarterly Journal of Economics, Oxford University Press, vol. 132(4), pages 1969-2018.
    19. Hurwicz, Leonid & Richter, Marcel K, 1979. "Ville Axioms and Consumer Theory," Econometrica, Econometric Society, vol. 47(3), pages 603-619, May.
    20. repec:the:publsh:2733 is not listed on IDEAS
    21. Hans Keiding & Mich Tvede, 2013. "Revealed smooth nontransitive preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 463-484, November.
    22. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    23. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2015. "Revealed (P)Reference Theory," American Economic Review, American Economic Association, vol. 105(1), pages 299-321, January.
    24. Hassan Nosratabadi, 2017. "Referential Revealed Preference Theory," Departmental Working Papers 201707, Rutgers University, Department of Economics.
    25. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society, vol. 13(3), September.
    26. Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-978, September.
    27. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    28. Shafer, Wayne J, 1974. "The Nontransitive Consumer," Econometrica, Econometric Society, vol. 42(5), pages 913-919, September.
    29. Balasko, Yves, 2003. "Economies with price-dependent preferences," Journal of Economic Theory, Elsevier, vol. 109(2), pages 333-359, April.
    30. Daniel S. Putler, 1992. "Incorporating Reference Price Effects into a Theory of Consumer Choice," Marketing Science, INFORMS, vol. 11(3), pages 287-309.
    31. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Oxford University Press, vol. 38(3), pages 307-317.
    32. Hassan Nosratabadi, 2017. "Referential Revealed Preference Theory," Departmental Working Papers 201705, Rutgers University, Department of Economics.
    33. 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)

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bro:econwp:2018-3. 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: (Brown Economics Webmaster). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.