IDEAS home Printed from https://ideas.repec.org/p/pen/papers/13-043.html
   My bibliography  Save this paper

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

Author

Listed:
  • Maciej H. Kotowski

    (John F. Kennedy School of Government, Harvard University)

  • Fei Li

    (Department of Economics, University of North Carolina, Chapel Hill)

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. 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 endowments. An example shows that with both interdependent valuations and private budget constraints, a revenue ranking between the two auction formats is generally not possible. Equilibria with discontinuous bidding strategies are discussed.

Suggested Citation

  • Maciej H. Kotowski & Fei Li, 2012. "On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints, Second Version," PIER Working Paper Archive 13-043, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 05 Aug 2013.
    • Handle: RePEc:pen:papers:13-043
    as

    Download full text from publisher

    File URL: https://economics.sas.upenn.edu/sites/default/files/filevault/13-043.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kotowski, Maciej H., 2020. "First-price auctions with budget constraints," Theoretical Economics, Econometric Society, vol. 15(1), January.
    2. Fang, Hanming & Parreiras, Sergio O., 2002. "Equilibrium of Affiliated Value Second Price Auctions with Financially Constrained Bidders: The Two-Bidder Case," Games and Economic Behavior, Elsevier, vol. 39(2), pages 215-236, May.
    3. , & ,, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
    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. Kotowski, Maciej H., 2020. "First-price auctions with budget constraints," Theoretical Economics, Econometric Society, vol. 15(1), January.
    2. 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.
    3. Maciej H. Kotowski & Fei Li, 2012. "On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints, Third Version," PIER Working Paper Archive 14-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Jan 2014.
    4. Bobkova, Nina, 2020. "Asymmetric budget constraints in a first-price auction," Journal of Economic Theory, Elsevier, vol. 186(C).
    5. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85, March.
    6. Kotowski, Maciej H. & Li, Fei, 2014. "The war of attrition and the revelation of valuable information," Economics Letters, Elsevier, vol. 124(3), pages 420-423.
    7. Burkett, Justin, 2016. "Optimally constraining a bidder using a simple budget," Theoretical Economics, Econometric Society, vol. 11(1), January.
    8. Burkett, Justin, 2015. "Endogenous budget constraints in auctions," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 1-20.
    9. Ghosh, Gagan, 2021. "Simultaneous auctions with budgets: Equilibrium existence and characterization," Games and Economic Behavior, Elsevier, vol. 126(C), pages 75-93.
    10. Jianfu Shen & Frederik Pretorius & K. W. Chau, 2018. "Land Auctions with Budget Constraints," The Journal of Real Estate Finance and Economics, Springer, vol. 56(3), pages 443-471, April.
    11. Kotowski, Maciej & Li, Fei, 2011. "All-Pay Auctions with Budget Constraints," MPRA Paper 30468, University Library of Munich, Germany.
    12. de Frutos, Maria-Angeles & Pechlivanos, Lambros, 2006. "Second-price common-value auctions under multidimensional uncertainty," Games and Economic Behavior, Elsevier, vol. 55(1), pages 43-71, April.
    13. Malueg, David A. & Orzach, Ram, 2009. "Revenue comparison in common-value auctions: Two examples," Economics Letters, Elsevier, vol. 105(2), pages 177-180, November.
    14. Charles Z. Zheng, 2014. "Existence of Monotone Equilibria in First-Price Auctions with Resale," University of Western Ontario, Economic Policy Research Institute Working Papers 20141, University of Western Ontario, Economic Policy Research Institute.
    15. Zhonghao Shui, 2023. "Rejection prices and an auctioneer with non-monotonic utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 925-951, September.
    16. Brusco, Sandro & Lopomo, Giuseppe & Marx, Leslie M., 2009. "The [`]Google effect' in the FCC's 700Â MHz auction," Information Economics and Policy, Elsevier, vol. 21(2), pages 101-114, June.
    17. Jinsoo Bae & John H. Kagel, 2022. "Selling shares to budget-constrained bidders: an experimental study of the proportional auction," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 8(1), pages 45-55, December.
    18. Tristan Gagnon-Bartsch & Marco Pagnozzi & Antonio Rosato, 2021. "Projection of Private Values in Auctions," American Economic Review, American Economic Association, vol. 111(10), pages 3256-3298, October.
    19. Chakraborty, Indranil, 2019. "Simultaneous vs. sequential auctions with risk averse bidders," Games and Economic Behavior, Elsevier, vol. 113(C), pages 209-222.
    20. Monteiro, Paulo Klinger & Svaiter, Benar Fux, 2010. "Optimal auction with a general distribution: Virtual valuation without densities," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 21-31, January.

    More about this item

    Keywords

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

    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:pen:papers:13-043. 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: Administrator (email available below). General contact details of provider: https://edirc.repec.org/data/deupaus.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.