IDEAS home Printed from https://ideas.repec.org/p/pen/papers/12-019.html
   My bibliography  Save this paper

On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints

Author

Listed:
  • Maciej H. Kotowski

    () (Harvard Kennedy School)

  • Fei Li

    () (Department of Economics, University of Pennsylvania)

Abstract

We consider all-pay auctions in the presence of interdependent, affiliated valuations and private budget constraints. For the sealed-bid, all-pay auction we characterize a symmetric equilibrium in continuous strategies for the case of N bidders and we investigate its properties. Budget constraints encourage more aggressive bidding among participants with large endowments and intermediate valuations. We extend our results to the war of attrition where we show that budget constraints lead to a uniform amplification of equilibrium bids among bidders with sufficient endownments. An example shows that with both interdependent valuations and private budget constraints, a revenue ranking between the two mechanisms is generally not possible.

Suggested Citation

  • Maciej H. Kotowski & Fei Li, 2012. "On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints," PIER Working Paper Archive 12-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  • Handle: RePEc:pen:papers:12-019
    as

    Download full text from publisher

    File URL: http://economics.sas.upenn.edu/system/files/12-019.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    2. Patrick Bajari & Ali Hortacsu, 2005. "Are Structural Estimates of Auction Models Reasonable? Evidence from Experimental Data," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 703-741, August.
    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. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
    6. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 1-21.
    7. Leininger, Wolfgang, 1991. "Patent competition, rent dissipation, and the persistence of monopoly: The role of research budgets," Journal of Economic Theory, Elsevier, vol. 53(1), pages 146-172, February.
    8. Fang, Hanming & Parreiras, Sergio O., 2003. "On the failure of the linkage principle with financially constrained bidders," Journal of Economic Theory, Elsevier, vol. 110(2), pages 374-392, June.
    9. 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.
    10. Che, Yeon-Koo & Gale, Ian, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
    11. Castro, Luciano I. de, 2007. "Affiliation, equilibrium existence and the revenue ranking of auctions," UC3M Working papers. Economics we074622, Universidad Carlos III de Madrid. Departamento de Economía.
    12. 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. 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.

    More about this item

    Keywords

    All-Pay Auction; War of Attrition; Budget Constraints; Common Values; Private Values; Affiliation; Contests;

    JEL classification:

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

    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:pen:papers:12-019. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dolly Guarini). General contact details of provider: http://edirc.repec.org/data/deupaus.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.