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The Tree that Hides the Forest: A Note on Revealed Preference

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  • João V. Ferreira

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

The common interpretation given to choice behavior that satisfies the traditional revealed preference axioms is that it results from the maximization of a single preference. We show that choice data alone does not enable one to rule out the possibility that the choice behavior that satisfies the revealed preference axioms is instead the result of the aggregation of a collection of distinct preferences. In particular, we show that any ordering is observationally equivalent to a majoritarian aggregation of a collection of distinct dichotomous orderings. We also show that any ordering is observationally equivalent to a Borda's aggregation of a collection of distinct linear orderings.

Suggested Citation

  • João V. Ferreira, 2016. "The Tree that Hides the Forest: A Note on Revealed Preference," Working Papers halshs-01386451, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01386451
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01386451
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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. M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
    3. Sen, Amartya & Pattanaik, Prasanta K., 1969. "Necessary and sufficient conditions for rational choice under majority decision," Journal of Economic Theory, Elsevier, vol. 1(2), pages 178-202, August.
    4. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2010. "An Afriat Theorem for the collective model of household consumption," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1142-1163, May.
    5. Rajat Deb, 1976. "On Constructing Generalized Voting Paradoxes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 347-351.
    6. Hausman, Daniel M., 2000. "Revealed preference, belief, and game theory," Economics and Philosophy, Cambridge University Press, vol. 16(1), pages 99-115, April.
    7. LeBoeuf, Robyn A. & Shafir, Eldar & Bayuk, Julia Belyavsky, 2010. "The conflicting choices of alternating selves," Organizational Behavior and Human Decision Processes, Elsevier, vol. 111(1), pages 48-61, January.
    8. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    9. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    10. Daniel J. Benjamin & James J. Choi & A. Joshua Strickland, 2010. "Social Identity and Preferences," American Economic Review, American Economic Association, vol. 100(4), pages 1913-1928, September.
    11. Karla Hoff & Priyanka Pandey, 2006. "Discrimination, Social Identity, and Durable Inequalities," American Economic Review, American Economic Association, vol. 96(2), pages 206-211, May.
    12. Lee Gibson & Robert Powers, 2012. "An extension of McGarvey’s theorem from the perspective of the plurality collective choice mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 101-108, January.
    13. Michel Le Breton & Guillaume Hollard, 1996. "Logrolling and a McGarvey theorem for separable tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(4), pages 451-455.
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    Keywords

    revealed preference theory; rationalization; dichotomous preferences; aggregation rules; choice data;
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