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First-Price Auctions when the Ranking of Valuations is Common Knowledge

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  • Michael Landsberger

    (Crest)

  • Jacob Rubinstein

    (Crest)

  • Elmar Wolfstetter

    (Crest)

  • Shmuel Zamir

    (Crest)

Abstract

We consider a first-price auction when the ranking of bidders' private valuations is common knowledge among bidders. This new informational framework is motivated by several applications, from procurement to privatization. It induces a particular asymmetric auction model with affiliated private values that has several interesting properties but raises serious technical complications. We prove existence and uniqueness of equilibrium in pure strategies and show that the seller's reven generally higher in a first-price than in second-price and English auctions, in contrast to the ranking in the affiliated values model by Milgrom and Weber. This also implies that in first-price auctions, providing information concerning the ranking of valuations among bidders tends to increase the seller's expected revenue.
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Suggested Citation

  • Michael Landsberger & Jacob Rubinstein & Elmar Wolfstetter & Shmuel Zamir, 1999. "First-Price Auctions when the Ranking of Valuations is Common Knowledge," Working Papers 99-18, Center for Research in Economics and Statistics.
  • Handle: RePEc:crs:wpaper:99-18
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    Cited by:

    1. Lamy, Laurent, 2012. "The econometrics of auctions with asymmetric anonymous bidders," Journal of Econometrics, Elsevier, vol. 167(1), pages 113-132.
    2. Vasiliki Skreta, 2011. "On the informed seller problem: optimal information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 15(1), pages 1-36, March.
    3. Elmar G. Wolfstetter, 2001. "The Swiss UMTS Spectrum Auction Flop: Bad Luck or Bad Design," CESifo Working Paper Series 534, CESifo Group Munich.
    4. Alboth, Dirk & Lerner, Anat & Shalev, Jonathan, 2001. " Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-525.
    5. ALBOTH, Dirk & LERNER, Anat & SHALEV, Jonathan, 1997. "Auctioning public goods to groups of aghents," CORE Discussion Papers 1997077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Dirk Bergemann & Johannes Horner, 2010. "Should Auctions be Transparent?," Cowles Foundation Discussion Papers 1764R, Cowles Foundation for Research in Economics, Yale University, revised Sep 2014.
    7. Perry, Motty & Wolfstetter, Elmar & Zamir, Shmuel, 2000. "A Sealed-Bid Auction That Matches the English Auction," Games and Economic Behavior, Elsevier, vol. 33(2), pages 265-273, November.
    8. Wolfstetter, Elmar, 1998. "Auktionen und Ausschreibungen: Bedeutungen und Grenzen des linkage-Prinzips," SFB 373 Discussion Papers 1998,31, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    9. Ding, Wei & Jeitschko, Thomas D. & Wolfstetter, Elmar G., 2010. "Signal jamming in a sequential auction," Economics Letters, Elsevier, vol. 108(1), pages 58-61, July.
    10. repec:wsi:wschap:9789814374590_0009 is not listed on IDEAS
    11. Morath, Florian & Münster, Johannes, 2008. "Private versus complete information in auctions," Economics Letters, Elsevier, vol. 101(3), pages 214-216, December.
    12. Guth, Werner & Ivanova-Stenzel, Radosveta & Wolfstetter, Elmar, 2005. "Bidding behavior in asymmetric auctions: An experimental study," European Economic Review, Elsevier, vol. 49(7), pages 1891-1913, October.
    13. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters,in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356 World Scientific Publishing Co. Pte. Ltd..
    14. Laurent Lamy, 2008. "The econometrics of auctions with asymmetric anonymous bidders," Working Papers halshs-00586039, HAL.
    15. Todd R. Kaplan & Shmuel Zamir, 2006. "Asymmetric Auctions: Analytic Solutions to the General Uniform Case," Levine's Bibliography 321307000000000410, UCLA Department of Economics.
    16. Irene Martínez-Pardina, 2006. "First-price auctions where one of the bidders’ valuations is common knowledge," Review of Economic Design, Springer;Society for Economic Design, vol. 10(1), pages 31-51, April.
    17. Momparler, Juan & Gregori, Pablo, 2011. "Qualitative analysis of Bayes-Nash equilibrium in weak asymmetric auctions," Economics Letters, Elsevier, vol. 110(3), pages 220-222, March.
    18. Campbell, Colin & Carare, Octavian & McLean, Richard P., 2005. "Auction form preference and inefficiency of asymmetric discriminatory auctions," Economics Letters, Elsevier, vol. 86(1), pages 95-100, January.
    19. A. Alexander Elbittar, 2005. "Impact of Valuation Ranking Information on Bidding in First-Price," Microeconomics 0508008, EconWPA.
    20. Cheng, Harrison, 2011. "Asymmetry and revenue in first-price auctions," Economics Letters, Elsevier, vol. 111(1), pages 78-80, April.
    21. Olivier Compte & Andrew Postlewaite, 2010. "Simple Auctions, Second Version," PIER Working Paper Archive 13-017, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Apr 2013.

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