IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v26y2005i2p245-264.html
   My bibliography  Save this article

Revealed stochastic preference: a synthesis

Author

Listed:
  • Daniel McFadden

Abstract

The problem of revealed stochastic preference is whether probability distributions of observed choices in a population for various choice situations are consistent with a hypothesis of maximization of preference preorders by members of the population. This is a population analog of the classical revealed preference problem in economic consumer theory. This paper synthesizes the solutions to this problem that have been obtained by Marcel K. Richter and the author, and by J. C. Falmagne, in the case of finite sets of alternatives, and utilizes unpublished research of Richter and the author to give results for the non-finite choice sets encountered in economic consumer theory. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Daniel McFadden, 2005. "Revealed stochastic preference: a synthesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 245-264, August.
    • Handle: RePEc:spr:joecth:v:26:y:2005:i:2:p:245-264
    DOI: 10.1007/s00199-004-0495-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-004-0495-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-004-0495-3?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    3. Hildenbrand, Werner, 1971. "Random preferences and equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 3(4), pages 414-429, December.
    4. McCAUSLAND, William, 2004. "A Theory of Random Consumer Demand," Cahiers de recherche 2004-04, Universite de Montreal, Departement de sciences economiques.
    5. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    6. Fishburn, Peter C. & Falmagne, Jean-Claude, 1989. "Binary choice probabilities and rankings," Economics Letters, Elsevier, vol. 31(2), pages 113-117, December.
    7. Matzkin, Rosa L, 1992. "Nonparametric and Distribution-Free Estimation of the Binary Threshold Crossing and the Binary Choice Models," Econometrica, Econometric Society, vol. 60(2), pages 239-270, March.
    8. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 99-110.
    9. Bandyopadhyay, Taradas & Dasgupta, Indraneel & Pattanaik, Prasanta K., 1999. "Stochastic Revealed Preference and the Theory of Demand," Journal of Economic Theory, Elsevier, vol. 84(1), pages 95-110, January.
    10. Fishburn, Peter C., 1992. "Induced binary probabilities and the linear ordering polytope: a status report," Mathematical Social Sciences, Elsevier, vol. 23(1), pages 67-80, February.
    11. HILDENBRAND, Werner, 1971. "Random preferences and equilibrium analysis," LIDAM Reprints CORE 100, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. McFadden, Daniel, 1979. "A note on the computability of tests of the strong axiom of revealed preference," Journal of Mathematical Economics, Elsevier, vol. 6(1), pages 15-16, March.
    13. McFadden, Daniel, 1975. "Tchebyscheff bounds for the space of agent characteristics," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 225-242.
    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. Sam Cosaert & Thomas Demuynck, 2018. "Nonparametric Welfare and Demand Analysis with Unobserved Individual Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 100(2), pages 349-361, May.
    2. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2011. "Testable implications of general equilibrium models: An integer programming approach," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 564-575.
    3. Alfred Galichon & John Quah, 2013. "Symposium on revealed preference analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 419-423, November.
    4. 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.
    5. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2007. "The Revealed Preference Approach to Collective Consumption Behavior: Testing, Recovery and Welfare Analysis," IZA Discussion Papers 3062, Institute of Labor Economics (IZA).
    6. Heufer, Jan, 2013. "Quasiconcave preferences on the probability simplex: A nonparametric analysis," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 21-30.
    7. Alan Kirman, 2006. "Demand Theory and General Equilibrium: From Explanation to Introspection, a Journey down the Wrong Road," History of Political Economy, Duke University Press, vol. 38(5), pages 246-280, Supplemen.
    8. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    9. Dziewulski, Paweł & Lanier, Joshua & Quah, John K.-H., 2024. "Revealed preference and revealed preference cycles: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    10. Wang, Jian & Iversen, Tor & Hennig-Schmidt, Heike & Godager, Geir, 2020. "Are patient-regarding preferences stable? Evidence from a laboratory experiment with physicians and medical students from different countries," European Economic Review, Elsevier, vol. 125(C).
    11. Andrés Carvajal, 2007. "Individually Rational Collective Choice," Theory and Decision, Springer, vol. 62(4), pages 355-374, May.
    12. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    13. Alan Beggs, 2021. "Afriat and arbitrage," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 167-176, October.
    14. Yuichi Kitamura & Jörg Stoye, 2013. "Nonparametric analysis of random utility models: testing," CeMMAP working papers 36/13, Institute for Fiscal Studies.
    15. Ian Crawford, 2004. "Necessary and sufficient conditions for latent separability," CeMMAP working papers CWP02/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    16. Luiz Vitiello & Ser-Huang Poon, 2022. "Option pricing with random risk aversion," Review of Quantitative Finance and Accounting, Springer, vol. 58(4), pages 1665-1684, May.
    17. Seyit Kerimkhulle & Nataliia Obrosova & Alexander Shananin & Akylbek Tokhmetov, 2023. "Young Duality for Variational Inequalities and Nonparametric Method of Demand Analysis in Input–Output Models with Inputs Substitution: Application for Kazakhstan Economy," Mathematics, MDPI, vol. 11(19), pages 1-22, October.
    18. Wooders, M. & Selten, R. & Cartwright, E., 2001. "Some First Results for Noncooperative Pregames : Social Conformity and Equilibrium in Pure Strategies," The Warwick Economics Research Paper Series (TWERPS) 589, University of Warwick, Department of Economics.
    19. David Edgerton & Donald Dutkowsky & Thomas Elger & Barry Jones, 2005. "Toward a unified approach to testing for weak separability," Economics Bulletin, AccessEcon, vol. 3(20), pages 1-7.
    20. Laura Blow & Martin Browning & Ian Crawford, 2004. "Nonparametric methods for the characteristic model," CeMMAP working papers 18/04, Institute for Fiscal Studies.

    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:spr:joecth:v:26:y:2005:i:2:p:245-264. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.