IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/34810.html
   My bibliography  Save this paper

Wars of attrition and all-pay auctions with stochastic competition

Author

Listed:
  • Bos, Olivier

Abstract

We extend the war of attrition and all-pay auction analysis of Krishna and Morgan (1997) to a stochastic competition setting. We determine the existence of equilibrium bidding strategies and discuss the potential shape of these strategies. Results for the war of attrition contrast with the characterization of the bidding equilibrium strategies in the first-price all-pay auction as well as the winner-pay auctions. Furthermore we investigate the expected revenue comparisons among the war of attrition, the all-pay auction and the winner-pay auctions and discuss the Linkage Principle as well. Our findings are applicable to future works on contests and charity auctions.

Suggested Citation

  • Bos, Olivier, 2011. "Wars of attrition and all-pay auctions with stochastic competition," MPRA Paper 34810, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:34810
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/34810/1/MPRA_paper_34810.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    2. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    3. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May.
    4. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    5. 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.
    6. Jacob K. Goeree & Emiel Maasland & Sander Onderstal & John L. Turner, 2005. "How (Not) to Raise Money," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 897-926, August.
    7. Aleksandar Saša Pekev{c} & Ilia Tsetlin, 2008. "Revenue Ranking of Discriminatory and Uniform Auctions with an Unknown Number of Bidders," Management Science, INFORMS, vol. 54(9), pages 1610-1623, September.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Harstad, Ronald M. & Pekec, Aleksandar Sasa & Tsetlin, Ilia, 2008. "Information aggregation in auctions with an unknown number of bidders," Games and Economic Behavior, Elsevier, vol. 62(2), pages 476-508, March.
    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. Oliver Kirchkamp & Wladislaw Mill, 2019. "Spite vs. risk: explaining overbidding," CESifo Working Paper Series 7631, CESifo.
    2. Sosung Baik & Sung-Ha Hwang, 2021. "Auction design with ambiguity: Optimality of the first-price and all-pay auctions," Papers 2110.08563, arXiv.org.
    3. 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.
    4. Lang, Matthias & Seel, Christian & Strack, Philipp, 2014. "Deadlines in stochastic contests," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 134-142.

    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. Olivier Bos, 2010. "Wars of Attrition with Stochastic Competition," Working Paper Series in Economics 47, University of Cologne, Department of Economics.
    2. Ronald M. Harstad, 2005. "Rational Participation Revolutionizes Auction Theory," Working Papers 0518, Department of Economics, University of Missouri.
    3. Aleksandar Saša Pekev{c} & Ilia Tsetlin, 2008. "Revenue Ranking of Discriminatory and Uniform Auctions with an Unknown Number of Bidders," Management Science, INFORMS, vol. 54(9), pages 1610-1623, September.
    4. Mark Isaac & Svetlana Pevnitskaya & Kurt S. Schnier, 2012. "Individual Behavior And Bidding Heterogeneity In Sealed Bid Auctions Where The Number Of Bidders Is Unknown," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 516-533, April.
    5. Flavio Menezes & Paulo Klinger Monteiro, 1996. "A Note on Auctions with Endogenous Participation," Microeconomics 9610003, University Library of Munich, Germany, revised 31 Oct 1996.
    6. Tong Li & Xiaoyong Zheng, 2009. "Entry and Competition Effects in First-Price Auctions: Theory and Evidence from Procurement Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1397-1429.
    7. 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.
    8. Vleugels, Jan, 1997. "Bidding against an unknown number of competitiors sharing affiliated information," Sonderforschungsbereich 504 Publications 97-13, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    9. Kotowski, Maciej H. & Li, Fei, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Games and Economic Behavior, Elsevier, vol. 85(C), pages 84-108.
    10. Joy Buchanan & Steven Gjerstad & David Porter, 2016. "Information Effects in Uniform Price Multi‐Unit Dutch Auctions," Southern Economic Journal, John Wiley & Sons, vol. 83(1), pages 126-145, July.
    11. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.
    12. Vleugels, Jan, 1997. "Bidding against an unknown number of competitors sharing affiliated information," Papers 97-13, Sonderforschungsbreich 504.
    13. Ronald M Harstad, 2011. "Endogenous Competition Alters the Structure of Optimal Auctions," ISER Discussion Paper 0816, Institute of Social and Economic Research, Osaka University.
    14. Levin, Dan & Ozdenoren, Emre, 2004. "Auctions with uncertain numbers of bidders," Journal of Economic Theory, Elsevier, vol. 118(2), pages 229-251, October.
    15. Vladimirov, Vladimir, 2015. "Financing bidders in takeover contests," Journal of Financial Economics, Elsevier, vol. 117(3), pages 534-557.
    16. Lansdowne, Z. F., 1996. "Extensions of bidding theory: Concealed bidding, optimal number of bidders, and follow-on contracts," Omega, Elsevier, vol. 24(1), pages 107-114, February.
    17. Ronald M. Harstad, 2007. "Does a Seller Really Want Another Bidder?," Working Papers 0711, Department of Economics, University of Missouri.
    18. Bag, Parimal Kanti, 2003. "Unraveling in first-price auction," Games and Economic Behavior, Elsevier, vol. 43(2), pages 312-321, May.
    19. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    20. Hsueh, Shao-Chieh & Tian, Guoqiang, 2009. "Nonratifiability of the Cartel Mechanism in First-Price Sealed-Bid Auction with Participation Costs," MPRA Paper 41202, University Library of Munich, Germany, revised Oct 2010.

    More about this item

    Keywords

    All-pay auction; war of attrition; number of bidders;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:pra:mprapa:34810. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.