IDEAS home Printed from https://ideas.repec.org/p/eca/wpaper/2013-279160.html
   My bibliography  Save this paper

Equilibrium Play in First Price Auctions: Revealed Preference Analysis

Author

Listed:
  • Laurens Cherchye
  • Thomas Demuynck
  • Bram De Rock
  • Mikhail Freer

Abstract

We provide a revealed preference characterization of equilibrium behavior in first price sealed bid auctions. This defines testable conditions for equilibrium play that are intrinsically nonparametric, meaning that they do not require a non-verifiable specification of the individual utility functions. We characterize equilibrium play for a sequence of observations on private values and bids for a given individual. In a first step, we assume that the distribution of bids in the population is fully known. In a second step, we relax this assumption and consider the more realistic case that the empirical analyst can only use a finite number of i.i.d. observations drawn from the population distribution. We demonstrate the empirical usefulness ofour conditions through an illustrative application to an existing experimental data set of Neugebauer and Perote 2008. This application also shows the potential of our nonparametric characterization to study the behavioral phenomena learning and fatigue at the individual level.

Suggested Citation

  • Laurens Cherchye & Thomas Demuynck & Bram De Rock & Mikhail Freer, 2018. "Equilibrium Play in First Price Auctions: Revealed Preference Analysis," Working Papers ECARES 2018-36, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:eca:wpaper:2013/279160
    as

    Download full text from publisher

    File URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/279160/3/2018-36-CHERCHYE_DEMUYNCK_DEROCK_FREER-equilibrium.pdf
    File Function: Œuvre complète ou partie de l'œuvre
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
    2. John H. Kagel & Alvin E. Roth, 2016. "The Handbook of Experimental Economics, Volume 2," Economics Books, Princeton University Press, edition 1, volume 2, number 10874.
    3. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Frederic Vermeulen, 2017. "Household Consumption When the Marriage Is Stable," American Economic Review, American Economic Association, vol. 107(6), pages 1507-1534, June.
    4. Athey, Susan & Haile, Philip A., 2007. "Nonparametric Approaches to Auctions," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 60, Elsevier.
    5. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    6. Andreoni, James & Che, Yeon-Koo & Kim, Jinwoo, 2007. "Asymmetric information about rivals' types in standard auctions: An experiment," Games and Economic Behavior, Elsevier, vol. 59(2), pages 240-259, May.
    7. 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.
    8. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    9. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    10. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2009. "Nonparametric Identification of Risk Aversion in First-Price Auctions Under Exclusion Restrictions," Econometrica, Econometric Society, vol. 77(4), pages 1193-1227, July.
    11. Ockenfels, Axel & Selten, Reinhard, 2005. "Impulse balance equilibrium and feedback in first price auctions," Games and Economic Behavior, Elsevier, vol. 51(1), pages 155-170, April.
    12. Chen, Kay-Yut & Plott, Charles R., 1998. "Nonlinear Behavior in Sealed Bid First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 34-78, October.
    13. Patrick Bajari & Ali Hortacsu, 2005. "Are Structural Estimates of Auction Models Reasonable? Evidence from Experimental Data," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 703-741, August.
    14. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    15. Andrés Carvajal & Rahul Deb & James Fenske & John K.‐H. Quah, 2013. "Revealed Preference Tests of the Cournot Model," Econometrica, Econometric Society, vol. 81(6), pages 2351-2379, November.
    16. Elodie Guerre & I. Perrigne & Q.H. Vuong, 2000. "Optimal nonparametric estimation of first-price auctions [[Estimation nonparamétrique optimale des enchères au premier prix]]," Post-Print hal-02697497, HAL.
    17. Sepanski, S. J., 1994. "Asymptotics for Multivariate t-Statistic and Hotelling's T2-Statistic Under Infinite Second Moments via Bootstrapping," Journal of Multivariate Analysis, Elsevier, vol. 49(1), pages 41-54, April.
    18. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, vol. 81(1), pages 153-171, January.
    19. Morgan John & Steiglitz Ken & Reis George, 2003. "The Spite Motive and Equilibrium Behavior in Auctions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 2(1), pages 1-27, April.
    20. Oliver Kirchkamp & J. Philipp Reiß, 2011. "Out‐Of‐Equilibrium Bids in First‐Price Auctions: Wrong Expectations or Wrong Bids," Economic Journal, Royal Economic Society, vol. 121(557), pages 1361-1397, December.
    21. Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
    22. Tibor Neugebauer & Javier Perote, 2008. "Bidding ‘as if’ risk neutral in experimental first price auctions without information feedback," Experimental Economics, Springer;Economic Science Association, vol. 11(2), pages 190-202, June.
    23. Cox, James C & Smith, Vernon L & Walker, James M, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1392-1412, December.
    24. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
    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. Grundl, Serafin & Zhu, Yu, 2023. "Robust inference in first-price auctions: Overbidding as an identifying restriction," Journal of Econometrics, Elsevier, vol. 235(2), pages 484-506.
    2. Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    3. repec:wyi:journl:002158 is not listed on IDEAS
    4. Jason Shachat & Lijia Wei, 2012. "Procuring Commodities: First-Price Sealed-Bid or English Auctions?," Marketing Science, INFORMS, vol. 31(2), pages 317-333, March.
    5. Jingfeng Lu & Isabelle Perrigne, 2008. "Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(7), pages 871-896.
    6. Kim, Dong-Hyuk & Ratan, Anmol, 2022. "Disentangling risk aversion and loss aversion in first-price auctions: An empirical approach," European Economic Review, Elsevier, vol. 150(C).
    7. Kirchkamp, O. & Reiss, J.P. & Sadrieh, A., 2008. "A pure variation of risk in private-value auctions," Research Memorandum 050, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. Sascha Füllbrunn & Tibor Neugebauer, 2013. "Varying the number of bidders in the first-price sealed-bid auction: experimental evidence for the one-shot game," Theory and Decision, Springer, vol. 75(3), pages 421-447, September.
    9. Lange, Andreas & Ratan, Anmol, 2010. "Multi-dimensional reference-dependent preferences in sealed-bid auctions - How (most) laboratory experiments differ from the field," Games and Economic Behavior, Elsevier, vol. 68(2), pages 634-645, March.
    10. Serafin J. Grundl & Yu Zhu, 2019. "Robust Inference in First-Price Auctions : Experimental Findings as Identifying Restrictions," Finance and Economics Discussion Series 2019-006, Board of Governors of the Federal Reserve System (U.S.).
    11. Andreas Roider & Patrick W. Schmitz, 2012. "Auctions with Anticipated Emotions: Overbidding, Underbidding, and Optimal Reserve Prices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 808-830, September.
    12. Bartling, Björn & Netzer, Nick, 2016. "An externality-robust auction: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 97(C), pages 186-204.
    13. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    14. Tibor Neugebauer, 2007. "Bid and price effects of increased competition in the first-price auction: experimental evidence," LSF Research Working Paper Series 07-17, Luxembourg School of Finance, University of Luxembourg.
    15. Oliver Kirchkamp & Wladislaw Mill, 2019. "Spite vs. risk: explaining overbidding," CESifo Working Paper Series 7631, CESifo.
    16. Kirchkamp, Oliver & Mill, Wladislaw, 2021. "Spite vs. risk: Explaining overbidding in the second-price all-pay auction," Games and Economic Behavior, Elsevier, vol. 130(C), pages 616-635.
    17. Zachary Breig & Allan Hernández-Chanto & Declan Hunt, 2022. "Experimental Auctions with Securities," Discussion Papers Series 657, School of Economics, University of Queensland, Australia.
    18. Chernomaz, Kirill, 2012. "On the effects of joint bidding in independent private value auctions: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 690-710.
    19. Breitmoser, Yves, 2019. "Knowing me, imagining you: Projection and overbidding in auctions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 423-447.
    20. Campo, Sandra, 2012. "Risk aversion and asymmetry in procurement auctions: Identification, estimation and application to construction procurements," Journal of Econometrics, Elsevier, vol. 168(1), pages 96-107.
    21. Nianqing Liu & Yao Luo, 2014. "A Nonparametric Test of Exogenous Participation in First-Price Auctions," Working Papers tecipa-519, University of Toronto, Department of Economics.

    More about this item

    Keywords

    first price auctions; equilibrium play; revealed preference characterization; testable implications; experimental data.;
    All these keywords.

    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:eca:wpaper:2013/279160. 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: Benoit Pauwels (email available below). General contact details of provider: https://edirc.repec.org/data/arulbbe.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.