IDEAS home Printed from https://ideas.repec.org/p/bdr/borrec/232.html

Individually Rational Colective Choice Under Random Preferences

Author

Listed:
  • Andrés Carvajal

Abstract

In this paper I consider the following problem: There is a collection of, exogenously given, socially feasible sets, and for each one of them, each one of a group of individuals chooses from an individually feasible set. The fact that the product of the individually feasible sets is larger than the socially feasible set notwithstanding, there arises no conflict between individuals. Assuming that individual preferences are random, I here characterize collective choices in terms of the way in wich individual preferences must co-vary in orden to explain them. I do this by combining standard revealed preference theory and its counterpart under random preferences.I also argue that there exist collective choices that cannon be rationalized, and hence that the individual rationality assumption can be refuted.

Suggested Citation

  • Andrés Carvajal, 2003. "Individually Rational Colective Choice Under Random Preferences," Borradores de Economia 232, Banco de la Republica de Colombia.
    • Handle: RePEc:bdr:borrec:232
    DOI: 10.32468/be.232
    as

    Download full text from publisher

    File URL: https://doi.org/10.32468/be.232
    Download Restriction: no
    File URL: https://libkey.io/10.32468/be.232?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matzkin, Rosa L. & Richter, Marcel K., 1991. "Testing strictly concave rationality," Journal of Economic Theory, Elsevier, vol. 53(2), pages 287-303, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cesar Martinelli & Mikhail Freer, 2016. "General Revealed Preferences," Working Papers 1059, George Mason University, Interdisciplinary Center for Economic Science, revised Jun 2016.
    2. Richter, Marcel K. & Wong, K.-C.Kam-Chau, 2004. "Concave utility on finite sets," Journal of Economic Theory, Elsevier, vol. 115(2), pages 341-357, April.
    3. Geoffroy de Clippel & Kareen Rozen, 2018. "Consumer Theory with Misperceived Tastes," Working Papers 2018-10, Brown University, Department of Economics.
    4. Khushboo Surana, 2022. "How different are we? Identifying the degree of revealed preference heterogeneity," Discussion Papers 22/09, Department of Economics, University of York.
    5. Wiktor L. Adamowicz, 1988. "Behavioral Implications of Nonmarket Valuation Models," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 36(4), pages 929-939, December.
    6. Wilfried Youmbi, 2024. "Nonparametric Analysis of Random Utility Models Robust to Nontransitive Preferences," Papers 2406.13969, arXiv.org.
    7. Dong, Xueqi & Liu, Shuo Li, 2021. "Proportional Tax under Ambiguity," MPRA Paper 107668, University Library of Munich, Germany.
    8. Ait-Sahalia, Yacine & Duarte, Jefferson, 2003. "Nonparametric option pricing under shape restrictions," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 9-47.
    9. Marcos Demetry & Per Hjertstrand & Matthew Polisson, 2022. "Testing axioms of revealed preference in Stata," Stata Journal, StataCorp LLC, vol. 22(2), pages 319-343, June.
    10. Galambos, Adam, 2019. "Descriptive complexity and revealed preference theory," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 54-64.
    11. 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.
    12. Takashi Kunimoto & Roberto Serrano, 2020. "Rationalizable Incentives: Interim Implementation of Sets in Rationalizable Strategies," Economics and Statistics Working Papers 4-2020, Singapore Management University, School of Economics.
    13. Liu, Pak-Wai & Wong, Kam-Chau, 2000. "Revealed homothetic preference and technology," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 287-314, November.
    14. Yujian Chen & Joshua Lanier & John K. -H. Quah, 2024. "Goodness-of-fit and utility estimation: what's possible and what's not," Papers 2405.08464, arXiv.org, revised Feb 2026.
    15. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    16. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Mikhail Freer, 2019. "Revealed Preference Analysis of Expected Utility Maximization under Prize-Probability Trade-Offs," Working Papers ECARES 2019-27, ULB -- Universite Libre de Bruxelles.
    17. Alvaro Sandroni & Leo Katz, 2024. "The leveling axiom," Theory and Decision, Springer, vol. 96(1), pages 135-152, February.
    18. Blundell, Richard & Kristensen, Dennis & Matzkin, Rosa, 2014. "Bounding quantile demand functions using revealed preference inequalities," Journal of Econometrics, Elsevier, vol. 179(2), pages 112-127.
    19. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014. "Revealed preference analysis for convex rationalizations on nonlinear budget sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236.
    20. Jan Heufer, 2014. "A geometric approach to revealed preference via Hamiltonian cycles," Theory and Decision, Springer, vol. 76(3), pages 329-341, March.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

    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:bdr:borrec:232. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Clorith Angélica Bahos Olivera (email available below). General contact details of provider: https://edirc.repec.org/data/brcgvco.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.