IDEAS home Printed from https://ideas.repec.org/p/ecl/stabus/2057.html
   My bibliography  Save this paper

Existence of Equilibria in Auctions with Interdependent Values: Two Symmetric Bidders

Author

Listed:
  • Govindan, Srihari
  • Wilson, Robert

    (Stanford University)

Abstract

For two symmetric bidders, weak monotonicity conditions are shown to imply existence of an equilibrium in mixed behavioral strategies for a sealed-bid first-price auction of an item for which each bidder's value depends on every bidder's observed signal. Such an equilibrium has atomless distributions of bids and thus is unaffected by how tied bids are resolved.

Suggested Citation

  • Govindan, Srihari & Wilson, Robert, 2010. "Existence of Equilibria in Auctions with Interdependent Values: Two Symmetric Bidders," Research Papers 2057, Stanford University, Graduate School of Business.
    • Handle: RePEc:ecl:stabus:2057
    as

    Download full text from publisher

    File URL: http://gsbapps.stanford.edu/researchpapers/library/RP2057.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    2. Govindan, Srihari & Wilson, Robert, 2010. "Existence of Equilibria in Auctions with Private Values," Research Papers 2056, Stanford University, Graduate School of Business.
    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. Govindan, Srihari & Wilson, Robert, 2010. "Existence of Equilibria in All-Pay Auctions," Research Papers 2058, Stanford University, Graduate School of Business.
    2. Dutra, Renato Cabral Dias & Carpio, Lucio Guido Tapia, 2021. "Biodiesel auctions in Brazil: Symmetry of bids and informational paradigm," Renewable and Sustainable Energy Reviews, Elsevier, vol. 137(C).
    3. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in games with ties," Theoretical Economics, Econometric Society, vol. 18(2), May.

    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. Daron Acemoglu & Matthew O. Jackson, 2017. "Social Norms and the Enforcement of Laws," Journal of the European Economic Association, European Economic Association, vol. 15(2), pages 245-295.
    2. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," PSE-Ecole d'économie de Paris (Postprint) halshs-01437507, HAL.
    3. Philippe Bich & Rida Laraki, 2015. "Abstract Economies with Endogenous Sharing Rules," Documents de travail du Centre d'Economie de la Sorbonne 15058, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. 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.
    5. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    6. Dirk Bergemann & Johannes Horner, 2010. "Should Auctions Be Transparent?," Levine's Working Paper Archive 661465000000000128, David K. Levine.
    7. He, Wei & Yannelis, Nicholas C., 2016. "Existence of equilibria in discontinuous Bayesian games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 181-194.
    8. Stephan Lauermann & Andre Speit, 2023. "Bidding in Common‐Value Auctions With an Unknown Number of Competitors," Econometrica, Econometric Society, vol. 91(2), pages 493-527, March.
    9. Philip J. Reny, 2016. "Nash equilibrium in discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 553-569, March.
    10. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
    11. Jason Allen & Robert Clark & Brent Hickman & Eric Richert, 2019. "Resolving Failed Banks: Uncertainty, Multiple Bidding & Auction Design," Staff Working Papers 19-30, Bank of Canada.
    12. Fudenberg, Drew & Mobius, Markus & Szeidl, Adam, 2007. "Existence of equilibrium in large double auctions," Journal of Economic Theory, Elsevier, vol. 133(1), pages 550-567, March.
    13. Matthew Jackson, 2009. "Non-existence of equilibrium in Vickrey, second-price, and English auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 13(1), pages 137-145, April.
    14. Gagan Ghosh, 2015. "Non-existence of equilibria in simultaneous auctions with a common budget-constraint," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 253-274, May.
    15. Hu, Youxin & Kagel, John & Xu, Xiaoshu & Ye, Lixin, 2013. "Theoretical and experimental analysis of auctions with negative externalities," Games and Economic Behavior, Elsevier, vol. 82(C), pages 269-291.
    16. Prokopovych, Pavlo & Yannelis, Nicholas C., 2019. "On monotone approximate and exact equilibria of an asymmetric first-price auction with affiliated private information," Journal of Economic Theory, Elsevier, vol. 184(C).
    17. Philippe Bich & Rida Laraki, 2014. "On the Existence of Approximate Equilibria and Sharing Rule Solutions in Discontinuous Games," Working Papers hal-01071678, HAL.
    18. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," Post-Print halshs-01437507, HAL.
    19. Luciano De Castro, 2012. "Correlation of Types in Bayesian Games," Discussion Papers 1556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. Allison, Blake A. & Bagh, Adib & Lepore, Jason J., 2022. "Invariant equilibria and classes of equivalent games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 448-462.

    More about this item

    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:ecl:stabus:2057. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/gsstaus.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.