IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v84y2014icp1-6.html
   My bibliography  Save this article

Equilibrium selection in common-value second-price auctions

Author

Listed:
  • Liu, Heng

Abstract

This note considers equilibrium selection in common-value second-price auctions with two bidders. We show that for each ex post equilibrium in continuous and undominated strategies, a sequence of “almost common-value” auctions can be constructed such that each of them possesses a unique undominated and continuous equilibrium and the corresponding sequence of equilibria converges to that ex post equilibrium. As an implication, no equilibrium selection of this model based on perturbations seems to be more convincing than others.

Suggested Citation

  • Liu, Heng, 2014. "Equilibrium selection in common-value second-price auctions," Games and Economic Behavior, Elsevier, vol. 84(C), pages 1-6.
    • Handle: RePEc:eee:gamebe:v:84:y:2014:i:c:p:1-6
    DOI: 10.1016/j.geb.2013.12.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825613001693
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2013.12.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    2. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February.
    3. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    4. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
    5. Oleksii Birulin, 2003. "Inefficient ex-post equilibria in efficient auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 675-683, October.
    6. Parreiras Sergio O., 2006. "Affiliated Common Value Auctions with Differential Information: The Two Bidder Case," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-21, December.
    7. Larson, Nathan, 2009. "Private value perturbations and informational advantage in common value auctions," Games and Economic Behavior, Elsevier, vol. 65(2), pages 430-460, March.
    8. Ronald M. Harstad & Dan Levin, 1985. "A Class of Dominance Solvable Common-Value Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 525-528.
    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. Bajoori, Elnaz & Vermeulen, Dries, 2019. "Equilibrium selection in interdependent value auctions," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 47-56.
    2. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    3. 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.

    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. 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.
    2. Bajoori, Elnaz & Vermeulen, Dries, 2019. "Equilibrium selection in interdependent value auctions," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 47-56.
    3. Hernando-Veciana, Ángel, 2009. "Information acquisition in auctions: Sealed bids vs. open bids," Games and Economic Behavior, Elsevier, vol. 65(2), pages 372-405, March.
    4. Hernando-Veciana, Ángel & Tröge, Michael, 2011. "The insider's curse," Games and Economic Behavior, Elsevier, vol. 71(2), pages 339-350, March.
    5. 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.
    6. Mares, Vlad & Harstad, Ronald M., 2003. "Private information revelation in common-value auctions," Journal of Economic Theory, Elsevier, vol. 109(2), pages 264-282, April.
    7. Gonçalves, Ricardo, 2008. "Irrationality in English auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 180-192, July.
    8. Bikhchandani, Sushil & Haile, Philip A. & Riley, John G., 2002. "Symmetric Separating Equilibria in English Auctions," Games and Economic Behavior, Elsevier, vol. 38(1), pages 19-27, January.
    9. Troyan, Peter, 2017. "Collusion and signaling in auctions with interdependent values," Journal of Economic Theory, Elsevier, vol. 170(C), pages 319-345.
    10. Daniel Quint, 2010. "Looking smart versus playing dumb in common-value auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 469-490, September.
    11. Moresi, Serge, 2000. "Information acquisition and research differentiation prior to an open-bid auction1," International Journal of Industrial Organization, Elsevier, vol. 18(5), pages 723-746, July.
    12. Cadsby, C. Bram & Du, Ninghua & Wang, Ruqu & Zhang, Jun, 2016. "Goodwill Can Hurt: A theoretical and experimental investigation of return policies in auctions," Games and Economic Behavior, Elsevier, vol. 99(C), pages 224-238.
    13. Anderson, E. & Holmberg, P., 2023. "Multi-unit auctions with uncertain supply and single-unit demand," Cambridge Working Papers in Economics 2339, Faculty of Economics, University of Cambridge.
    14. 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.
    15. Fong, Yuk-fai & Garrett, Daniel F., 2010. "Bidding in a possibly common-value auction," Games and Economic Behavior, Elsevier, vol. 70(2), pages 494-501, November.
    16. Mezzetti, Claudio & Tsetlin, Ilia, 2008. "On the lowest-winning-bid and the highest-losing-bid auctions," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 1040-1048, September.
    17. McAdams, David, 2007. "Uniqueness in symmetric first-price auctions with affiliation," Journal of Economic Theory, Elsevier, vol. 136(1), pages 144-166, September.
    18. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
    19. repec:eid:wpaper:37904 is not listed on IDEAS
    20. 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.
    21. 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.

    More about this item

    Keywords

    Equilibrium selection; Common value; Auctions;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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:eee:gamebe:v:84:y:2014:i:c:p:1-6. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.