IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v29y2000i3p413-432.html
   My bibliography  Save this article

First price auctions: Monotonicity and uniqueness

Author

Listed:
  • Gustavo E. Rodriguez

    (Wagner College, Staten Island, New York 10301, USA)

Abstract

I study monotonicity and uniqueness of the equilibrium strategies in a two-person first price auction with affiliated signals. Existing results establish uniqueness within the class of non-decreasing bidding strategies. I show that there is an effectively unique Nash equilibrium within the class of piecewise monotone strategies. The main result is that in equilibrium, the strategies must be strictly increasing within the support of winning bids. This result provides the missing link for the analysis of uniqueness in two-person first price auctions. The analysis applies to asymmetric environments as well and does not require risk neutrality.

Suggested Citation

  • Gustavo E. Rodriguez, 2000. "First price auctions: Monotonicity and uniqueness," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 413-432.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:3:p:413-432
    Note: Received: August 1997/Last revision: March 2000
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00182/papers/0029003/00290413.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Harrison Cheng & Guofu Tan, 2010. "Asymmetric common-value auctions with applications to private-value auctions with resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 253-290, October.
    3. Monteiro, Paulo Klinger & Moreira, Humberto, 2006. "First-price auctions without affiliation," Economics Letters, Elsevier, vol. 91(1), pages 1-7, April.
    4. 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.
    5. Stephan Lauermann & Asher Wolinsky, 2017. "Bidder Solicitation, Adverse Selection, and the Failure of Competition," American Economic Review, American Economic Association, vol. 107(6), pages 1399-1429, June.
    6. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, July.
    7. Vasilis Syrgkanis & David Kempe & Eva Tardos, 2019. "Information Asymmetries in Common-Value Auctions with Discrete Signals," Management Science, INFORMS, vol. 44(4), pages 1450-1476, November.
    8. David Malueg & Ram Orzach, 2012. "Equilibrium and revenue in a family of common-value first-price auctions with differential information," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 219-254, May.
    9. Abraham, Ittai & Athey, Susan & Babaioff, Moshe & Grubb, Michael D., 2020. "Peaches, lemons, and cookies: Designing auction markets with dispersed information," Games and Economic Behavior, Elsevier, vol. 124(C), pages 454-477.

    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:spr:jogath:v:29:y:2000:i:3:p:413-432. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.