IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v169y2017icp629-640.html
   My bibliography  Save this article

Large all-pay auctions with IPV bidders

Author

Listed:
  • Murto, Pauli
  • Välimäki, Juuso

Abstract

This note analyzes different types of all-pay auctions when the number of bidders becomes large. We compute the distributions of the highest bids for the first-price all pay auction and we show that the expected payment made by the winning bidder converges to half of the total payments. In the second-price all-pay auction (the war of attrition), the highest bid amounts to about 35.5% of the total revenues. We also compute the payments for all-pay auctions with multiple prizes.

Suggested Citation

  • Murto, Pauli & Välimäki, Juuso, 2017. "Large all-pay auctions with IPV bidders," Journal of Economic Theory, Elsevier, vol. 169(C), pages 629-640.
    • Handle: RePEc:eee:jetheo:v:169:y:2017:i:c:p:629-640
    DOI: 10.1016/j.jet.2017.03.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053117300388
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2017.03.008?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. Bali, Valentina & Jackson, Matthew, 2002. "Asymptotic Revenue Equivalence in Auctions," Journal of Economic Theory, Elsevier, vol. 106(1), pages 161-176, September.
    2. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    3. Wojciech Olszewski & Ron Siegel, 2016. "Large Contests," Econometrica, Econometric Society, vol. 84, pages 835-854, March.
    4. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    5. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    6. 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.
    7. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, January.
    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. Gadi Fibich & Arieh Gavious, 2010. "Large auctions with risk-averse bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 359-390, July.
    2. Chatterjee, Krishnendu & Reiter, Johannes G. & Nowak, Martin A., 2012. "Evolutionary dynamics of biological auctions," Theoretical Population Biology, Elsevier, vol. 81(1), pages 69-80.
    3. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and its Applications," De Economist, Springer, vol. 154(2), pages 197-249, June.
    4. Rittwik Chatterjee, 2013. "A Brief Survey of the Theory of Auction," South Asian Journal of Macroeconomics and Public Finance, , vol. 2(2), pages 169-191, December.
    5. Morath, Florian & Münster, Johannes, 2008. "Private versus complete information in auctions," Economics Letters, Elsevier, vol. 101(3), pages 214-216, December.
    6. Eric Maskin, 2004. "The Unity of Auction Theory: Paul Milgrom's Masterclass," Economics Working Papers 0044, Institute for Advanced Study, School of Social Science.
    7. A. Talman & Zaifu Yang, 2015. "An efficient multi-item dynamic auction with budget constrained bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 769-784, August.
    8. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 391-401, May.
    9. Daniel McFadden, 2009. "The human side of mechanism design: a tribute to Leo Hurwicz and Jean-Jacque Laffont," Review of Economic Design, Springer;Society for Economic Design, vol. 13(1), pages 77-100, April.
    10. Di Corato, Luca & Dosi, Cesare & Moretto, Michele, 2015. "Multidimensional auctions for long-term procurement contracts under the threat of early exit: the case of conservation auctions," Working Paper Series 2015:6, Swedish University of Agricultural Sciences, Department Economics.
    11. Brânzei, R. & Fragnelli, V. & Meca, A. & Tijs, S.H., 2006. "Two Classes of Cooperative Games Related to One-Object Auction Situations," Discussion Paper 2006-25, Tilburg University, Center for Economic Research.
    12. repec:dau:papers:123456789/7891 is not listed on IDEAS
    13. Deng, Shanglyu & Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2024. "Contests with sequential entry and incomplete information," Theoretical Economics, Econometric Society, vol. 19(2), May.
    14. Schnizler, Björn & Neumann, Dirk & Veit, Daniel & Napoletano, Mauro & Catalano, Michele & Gallegati, Mauro & Reinicke, Michael & Streitberger, Werner & Eymann, Torsten, 2005. "Environmental analysis for application layer networks," Bayreuth Reports on Information Systems Management 1, University of Bayreuth, Chair of Information Systems Management.
    15. Bos, Olivier, 2012. "Wars of attrition and all-pay auctions with stochastic competition," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 83-91.
    16. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    17. Markus Groth, 2009. "The transferability and performance of payment-by-results biodiversity conservation procurement auctions: empirical evidence from northernmost Germany," Working Paper Series in Economics 119, University of Lüneburg, Institute of Economics.
    18. Bingchao Huangfu & Gagan Ghosh & Heng Liu, 2023. "Resource inequality in the war of attrition," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 33-61, March.
    19. Olivier Bos & Tom Truyts, 2021. "Auctions with signaling concerns," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 30(2), pages 420-448, May.
    20. Marco Scarsini & Eilon Solan & Nicolas Vieille, 2010. "Lowest Unique Bid Auctions," Papers 1007.4264, arXiv.org.
    21. Florian Morath, 2013. "Volunteering and the strategic value of ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 99-131, June.

    More about this item

    Keywords

    All-pay auction; Large auctions;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

    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:jetheo:v:169:y:2017:i:c:p:629-640. 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/inca/622869 .

    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.