IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v95y2021ics0304406821000161.html
   My bibliography  Save this article

Ranking reversals in asymmetric auctions

Author

Listed:
  • Kirkegaard, René

Abstract

This paper compares the first-price auction and the second-price auction with several asymmetric bidders who are either weak or strong. The ranking of these auctions in terms of profit may flip as the exogenous reserve price or the number of weak or strong bidders change. Similarly, with endogenous reserve prices the ranking may depend on the seller’s own-use valuation. In other words, the ranking may be fragile to changes along these dimensions. Existing models rule out such ranking reversals by imposing substantial structure on type distributions. The current paper relies on simple mechanism design arguments that require less structure.

Suggested Citation

  • Kirkegaard, René, 2021. "Ranking reversals in asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 95(C).
  • Handle: RePEc:eee:mateco:v:95:y:2021:i:c:s0304406821000161
    DOI: 10.1016/j.jmateco.2021.102478
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406821000161
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2021.102478?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. Doni Nicola & Menicucci Domenico, 2013. "Revenue Comparison in Asymmetric Auctions with Discrete Valuations," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 1-33, September.
    2. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    3. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    4. Swinkels, Jeroen M, 2001. "Efficiency of Large Private Value Auctions," Econometrica, Econometric Society, vol. 69(1), pages 37-68, January.
    5. Elena Krasnokutskaya & Katja Seim, 2011. "Bid Preference Programs and Participation in Highway Procurement Auctions," American Economic Review, American Economic Association, vol. 101(6), pages 2653-2686, October.
    6. Bernard Lebrun, 2002. "Continuity of the first price auction Nash equilibrium correspondence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(3), pages 435-453.
    7. Todd Kaplan & Shmuel Zamir, 2012. "Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 269-302, June.
    8. Jeroen M. Swinkels, 1999. "Asymptotic Efficiency for Discriminatory Private Value Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 509-528.
    9. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    10. Véronique Flambard & Isabelle Perrigne, 2006. "Asymmetry in Procurement Auctions: Evidence from Snow Removal Contracts," Economic Journal, Royal Economic Society, vol. 116(514), pages 1014-1036, October.
    11. Susan Athey & Jonathan Levin & Enrique Seira, 2011. "Comparing open and Sealed Bid Auctions: Evidence from Timber Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(1), pages 207-257.
    12. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    13. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    14. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    15. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    16. René Kirkegaard, 2012. "A Mechanism Design Approach to Ranking Asymmetric Auctions," Econometrica, Econometric Society, vol. 80(5), pages 2349-2364, September.
    17. Quang Vuong & Sandra Campo & Isabelle Perrigne, 2003. "Asymmetry in first-price auctions with affiliated private values," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 179-207.
    18. Brendstrup, Bjarne & Paarsch, Harry J., 2006. "Identification and estimation in sequential, asymmetric, English auctions," Journal of Econometrics, Elsevier, vol. 134(1), pages 69-94, September.
    19. Dakshina G. De Silva & Timothy Dunne & Georgia Kosmopoulou, 2003. "An Empirical Analysis of Entrant and Incumbent Bidding in Road Construction Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 295-316, September.
    20. V. Flambard & I. Perrigne, 2006. "Asymmetry in procurement auctions: some evidence from snow removal contracts," Post-Print hal-00323914, HAL.
    21. John Asker, 2010. "A Study of the Internal Organization of a Bidding Cartel," American Economic Review, American Economic Association, vol. 100(3), pages 724-762, June.
    22. Cheng, Harrison, 2006. "Ranking sealed high-bid and open asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 471-498, August.
    23. Baisa, Brian & Burkett, Justin, 2020. "Discriminatory price auctions with resale and optimal quantity caps," Theoretical Economics, Econometric Society, vol. 15(1), January.
    24. Marion, Justin, 2007. "Are bid preferences benign? The effect of small business subsidies in highway procurement auctions," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1591-1624, August.
    25. Baisa, Brian & Burkett, Justin, 2018. "Large multi-unit auctions with a large bidder," Journal of Economic Theory, Elsevier, vol. 174(C), pages 1-15.
    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. Kirkegaard, René, 2022. "Efficiency in asymmetric auctions with endogenous reserve prices," Games and Economic Behavior, Elsevier, vol. 132(C), pages 234-239.

    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. Timothy P. Hubbard & Rene Kirkegaard, 2015. "Asymmetric Auctions with More Than Two Bidders," Working Papers 1502, University of Guelph, Department of Economics and Finance.
    2. 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.
    3. 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.
    4. Kirkegaard, René, 2022. "Efficiency in asymmetric auctions with endogenous reserve prices," Games and Economic Behavior, Elsevier, vol. 132(C), pages 234-239.
    5. Lamy, Laurent, 2012. "The econometrics of auctions with asymmetric anonymous bidders," Journal of Econometrics, Elsevier, vol. 167(1), pages 113-132.
    6. 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.
    7. Jayeeta Bhattacharya & Nathalie Gimenes & Emmanuel Guerre, 2019. "Semiparametric Quantile Models for Ascending Auctions with Asymmetric Bidders," Papers 1911.13063, arXiv.org, revised Sep 2020.
    8. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    9. Bernard Lebrun, 2015. "Revenue-superior variants of the second-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 245-275, June.
    10. repec:vuw:vuwscr:19224 is not listed on IDEAS
    11. Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 241-266, August.
    12. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    13. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    14. Timothy P. Hubbard & Harry J. Paarsch, 2012. "On the Numerical Solution of Equilibria in Auction Models with Asymmetries within the Private-Values Paradigm," Carlo Alberto Notebooks 291, Collegio Carlo Alberto.
    15. Sağlam, Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Working Paper Series 19224, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    16. Arieh Gavious & Yizhaq Minchuk, 2014. "Ranking asymmetric auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 369-393, May.
    17. Hill, Jonathan B. & Shneyerov, Artyom, 2013. "Are there common values in first-price auctions? A tail-index nonparametric test," Journal of Econometrics, Elsevier, vol. 174(2), pages 144-164.
    18. Jihui Chen & Maochao Xu, 2015. "Asymmetry and revenue in second-price auctions: a majorization approach," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 39(3), pages 625-640, July.
    19. Philippe Jehiel & Laurent Lamy, 2020. "On the Benefits of Set-Asides," Journal of the European Economic Association, European Economic Association, vol. 18(4), pages 1655-1696.
    20. Kirkegaard, René, 2014. "Ranking asymmetric auctions: Filling the gap between a distributional shift and stretch," Games and Economic Behavior, Elsevier, vol. 85(C), pages 60-69.
    21. Hubbard, Timothy P. & Paarsch, Harry J., 2009. "Investigating bid preferences at low-price, sealed-bid auctions with endogenous participation," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 1-14, January.

    More about this item

    Keywords

    Asymmetric auctions; Profit ranking;

    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:eee:mateco:v:95:y:2021:i:c:s0304406821000161. 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.