IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v45y2009i9-10p559-575.html
   My bibliography  Save this article

Characterization of bidding behavior in multi-unit auctions

Author

Listed:
  • de Castro, Luciano I.
  • Riascos, Alvaro

Abstract

This paper considers a very general class of single or multi-unit auctions of indivisible objects. The model allows for interdependent values, multidiminensional types and any attitude towards risk. Assuming only optimal behavior, we prove that each bid is chosen in order to equalize the marginal benefit to the marginal cost of bidding. This generalizes many existing results in the literature. We use this characterization to obtain sufficient conditions for truthful bidding, monotonic best reply strategies and identification results for multi-unit auctions.

Suggested Citation

  • de Castro, Luciano I. & Riascos, Alvaro, 2009. "Characterization of bidding behavior in multi-unit auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 559-575, September.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:559-575
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(08)00072-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. 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. 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.
    3. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    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. Ilan Kremer & Kjell G. Nyborg, 2004. "Divisible-Good Auctions: The Role of Allocation Rules," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 147-159, Spring.
    6. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    7. Laffont, Jean-Jacques, 1997. "Game theory and empirical economics: The case of auction data 1," European Economic Review, Elsevier, vol. 41(1), pages 1-35, January.
    8. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
    9. Bénédicte Vidaillet & V. d'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
    10. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    11. Catherine D. Wolfram, 1998. "Strategic Bidding in a Multiunit Auction: An Empirical Analysis of Bids to Supply Electricity in England and Wales," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 703-725, Winter.
    12. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, University Library of Munich, Germany, revised 28 Apr 1998.
    13. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    14. Ellerman,A. Denny & Joskow,Paul L. & Schmalensee,Richard & Montero,Juan-Pablo & Bailey,Elizabeth M., 2005. "Markets for Clean Air," Cambridge Books, Cambridge University Press, number 9780521023894, January.
      • Ellerman,A. Denny & Joskow,Paul L. & Schmalensee,Richard & Montero,Juan-Pablo & Bailey,Elizabeth M., 2000. "Markets for Clean Air," Cambridge Books, Cambridge University Press, number 9780521660839, November.
    15. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-1119, July.
    16. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    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. Alvarez, Francisco & André, Francisco J., 2013. "Auctioning vs. Grandfathering in Cap-and-Trade Systems with Market Power and Incomplete Information," Climate Change and Sustainable Development 162381, Fondazione Eni Enrico Mattei (FEEM).
    2. Alvarez, Francisco & André, Francisco J., 2015. "Auctioning emission permits in a leader-follower setting," MPRA Paper 61698, University Library of Munich, Germany.
    3. Jorge Balat & Juan E. Carranza & Juan D. Martin, 2015. "Dynamic and Strategic Behavior in Hydropower-Dominated Electricity Markets: Empirical Evidence for Colombia," Borradores de Economia 12906, Banco de la Republica.
    4. John J. García Rendón & Alex F. Pérez-Libreros, 2019. "El precio spot de la electricidad y la inclusión de energía renovable no convencional: evidencia para Colombia," Documentos de Trabajo de Valor Público 17393, Universidad EAFIT.
    5. Kastl, Jakub, 2012. "On the properties of equilibria in private value divisible good auctions with constrained bidding," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 339-352.
    6. Miguel A. Espinosa & Alvaro J. Riascos Villegas, 2010. "Strategic Behaviour, Resource Valuation and Competition in Electricity Markets," Documentos CEDE 6856, Universidad de los Andes, Facultad de Economía, CEDE.
    7. Ollikka, Kimmo & Tukiainen, Janne, 2013. "Central bank liquidity auction mechanism design and the interbank market," Research Discussion Papers 21/2013, Bank of Finland.
    8. repec:zbw:bofrdp:2013_021 is not listed on IDEAS
    9. Ollikka, Kimmo & Tukiainen, Janne, 2013. "Central bank liquidity auction mechanism design and the interbank market," Bank of Finland Research Discussion Papers 21/2013, Bank of Finland.
    10. Perez, Alex & Garcia-Rendon, John J., 2021. "Integration of non-conventional renewable energy and spot price of electricity: A counterfactual analysis for Colombia," Renewable Energy, Elsevier, vol. 167(C), pages 146-161.
    11. Ali Hortacsu & Jakub Kastl, "undated". "Informational Advantage and Information Structure: An Analysis of Canadian Treasury Auctions," Discussion Papers 09-031, Stanford Institute for Economic Policy Research.
    12. Francisco Álvarez & Francisco André, 2015. "Auctioning Versus Grandfathering in Cap-and-Trade Systems with Market Power and Incomplete Information," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 873-906, December.

    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. Susan Athey & Philip A. Haile, 2006. "Empirical Models of Auctions," NBER Working Papers 12126, National Bureau of Economic Research, Inc.
    2. Yusuke Matsuki, 2016. "A Distribution-Free Test of Monotonicity with an Application to Auctions," Working Papers e110, Tokyo Center for Economic Research.
    3. Xun Tang, 2008. "Bounds on Revenue Distributions in Counterfactual Auctions with Reserve Prices," PIER Working Paper Archive 08-042, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Panos L. Lorentziadis, 2020. "Value-Rationalizability in Auction Bidding," SN Operations Research Forum, Springer, vol. 1(2), pages 1-13, June.
    5. Dutra, Renato Cabral Dias & Carpio, Lucio Guido Tapia, 2021. "Biodiesel auctions in Brazil: Symmetry of bids and informational paradigm," Renewable and Sustainable Energy Reviews, Elsevier, vol. 137(C).
    6. Lamy, Laurent, 2012. "The econometrics of auctions with asymmetric anonymous bidders," Journal of Econometrics, Elsevier, vol. 167(1), pages 113-132.
    7. Brendstrup, Bjarne & Paarsch, Harry J., 2007. "Semiparametric identification and estimation in multi-object, English auctions," Journal of Econometrics, Elsevier, vol. 141(1), pages 84-108, November.
    8. Harry J. Paarsch & Jacques Robert, 2003. "Testing Equilibrium Behaviour At First-Price, Sealed-Bid Auctions With Discrete Bid Increments," CIRANO Working Papers 2003s-32, CIRANO.
    9. Harry J. Paarsch & Bjarne Brendstrup, 2004. "Nonparametric Identification and Estimation of Multi-Unit, Sequential, Oral, Ascending-Price Auctions with Asymmetric Bidders," Econometric Society 2004 Latin American Meetings 2, Econometric Society.
    10. Barkley, Aaron & Groeger, Joachim R. & Miller, Robert A., 2021. "Bidding frictions in ascending auctions," Journal of Econometrics, Elsevier, vol. 223(2), pages 376-400.
    11. Pesendorfer, Martin & Cantillon, Estelle, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers.
    12. Philip A Haile & Yuichi Kitamura, 2019. "Unobserved heterogeneity in auctions," The Econometrics Journal, Royal Economic Society, vol. 22(1), pages 1-19.
    13. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2023. "Identification of interdependent values in sequential first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 91(C).
    14. Olivier Armantier & Erwann SbaÏ, 2006. "Estimation and comparison of treasury auction formats when bidders are asymmetric," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 745-779, September.
    15. Hortaçsu, Ali, 2011. "Recent progress in the empirical analysis of multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 29(3), pages 345-349, May.
    16. Gerard J. van den Berg & Bas van der Klaauw, 2007. "If Winning isn't Everything, why do they keep Score? A Structural Empirical Analysis of Dutch Flower Auctions," Tinbergen Institute Discussion Papers 07-041/3, Tinbergen Institute.
    17. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    18. Nathalie Gimenes & Emmanuel Guerre, 2019. "Nonparametric identification of an interdependent value model with buyer covariates from first-price auction bids," Papers 1910.10646, arXiv.org.
    19. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    20. Reiss, Peter C. & Wolak, Frank A., 2003. "Structural Econometric Modeling: Rationales and Examples from Industrial Organization," Research Papers 1831, Stanford University, Graduate School of Business.

    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:eee:mateco:v:45:y:2009:i:9-10:p:559-575. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.