IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2107.07294.html
   My bibliography  Save this paper

Exact inference from finite market data

Author

Listed:
  • Felix Kubler
  • Raghav Malhotra
  • Herakles Polemarchakis

Abstract

We develop conditions under which individual choices and Walrasian equilibrium prices and allocations can be exactly inferred from finite market data. First, we consider market data that consist of individual demands as prices and incomes change. Second, we show that finitely many observations of individual endowments and associated Walrasian equilibrium prices, and only prices, suffice to identify individual demands and, as a consequence, equilibrium comparative statics.

Suggested Citation

  • Felix Kubler & Raghav Malhotra & Herakles Polemarchakis, 2021. "Exact inference from finite market data," Papers 2107.07294, arXiv.org.
  • Handle: RePEc:arx:papers:2107.07294
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2107.07294
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christopher P. Chambers & Federico Echenique & Nicolas S. Lambert, 2021. "Recovering Preferences From Finite Data," Econometrica, Econometric Society, vol. 89(4), pages 1633-1664, July.
    2. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    3. Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004. "Testable implications of general equilibrium theory: a differentiable approach," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 105-119, February.
    4. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 493-501, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christopher P. Chambers & Georgios Gerasimou, 2023. "Non-diversified portfolios with subjective expected utility," Papers 2304.08059, arXiv.org, revised Jan 2024.

    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. Yves Balasko & Mich Tvede, 2010. "Individual preference rankings compatible with prices, income distributions and total resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 497-513, December.
    2. Andrés Carvajal & Alvaro Riascos, 2005. "The Identification Of Preferences From Market Data Under Uncertainty," Documentos CEDE 3599, Universidad de los Andes, Facultad de Economía, CEDE.
    3. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 349-378, October.
    4. Kubler, Felix & Malhotra, Raghav & Polemarchakis, Herakles, 2020. "Identification of preferences, demand and equilibrium with finite data," CRETA Online Discussion Paper Series 60, Centre for Research in Economic Theory and its Applications CRETA.
    5. Loi, Andrea & Matta, Stefano, 2008. "Geodesics on the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1379-1384, December.
    6. Pawel Dziewulski, 2021. "A comprehensive revealed preference approach to approximate utility maximisation," Working Paper Series 0621, Department of Economics, University of Sussex Business School.
    7. 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.
    8. Pawel Dziewulski, 2016. "Eliciting the just-noticeable difference," Economics Series Working Papers 798, University of Oxford, Department of Economics.
    9. repec:spo:wpecon:info:hdl:2441/5rkqqmvrn4tl22s9mc0o6ctj2 is not listed on IDEAS
    10. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2013. "The empirical content of Cournot competition," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1552-1581.
    11. Amedeo Fossati & Rosella Levaggi, 2008. "Delay is not the answer: waiting time in health care & income redistribution," Working Papers 0801, University of Brescia, Department of Economics.
    12. Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2017. "Non-parametric bounds for non-convex preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 105-112.
    13. repec:dau:papers:123456789/10574 is not listed on IDEAS
    14. Kohei Shiozawa, 2015. "Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test," Discussion Papers in Economics and Business 15-17-Rev.2, Osaka University, Graduate School of Economics, revised Aug 2016.
    15. 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.
    16. Subir Bose & Matthew Polisson & Ludovic Renou, 2012. "Ambiguity Revealed," Discussion Papers in Economics 12/07, Division of Economics, School of Business, University of Leicester.
    17. 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.
    18. Thomas Demuynck & John Rehbeck, 2023. "Computing revealed preference goodness-of-fit measures with integer programming," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1175-1195, November.
    19. Laurens Cherchye & Sam Cosaert & Thomas Demuynck & Bram De Rock, 2020. "Group Consumption with Caring Individuals," The Economic Journal, Royal Economic Society, vol. 130(627), pages 587-622.
    20. Dong, Xueqi & Liu, Shuo Li, 2021. "Proportional Tax under Ambiguity," MPRA Paper 107668, University Library of Munich, Germany.
    21. Polisson, Matthew & Renou, Ludovic, 2016. "Afriat’s Theorem and Samuelson’s ‘Eternal Darkness’," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 36-40.
    22. 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.

    More about this item

    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:arx:papers:2107.07294. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.