IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/41210.html

Equilibria in Second Price Auctions with Information Acquisition

Author

Listed:
  • Li, Shengyu
  • Tian, Guoqiang

Abstract

This paper studies equilibria in second price auctions with information acquisition in an independent private value setting. We focus on the existence and uniqueness of equilibrium in the information acquisition stage for both homogenous and heterogenous bidders. It is shown that, when the relative probability gain of information acquisition is increasing, there always exists an equilibrium and further it is symmetric and unique when bidders are homogenous. Moreover, we show that different type of bidders must choose different information levels, and further the advantaged groups with lower marginal information cost have stronger incentive to acquire information. An illustrative example with two bidders and Gaussian specification is presented to provide intuition and implications on equilibrium behavior of bidders.

Suggested Citation

  • Li, Shengyu & Tian, Guoqiang, 2008. "Equilibria in Second Price Auctions with Information Acquisition," MPRA Paper 41210, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41210
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/41210/1/MPRA_paper_41210.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hausch, Donald B & Li, Lode, 1993. "A Common Value Auction Model with Endogenous Entry and Information Acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 315-334, April.
    2. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    3. repec:bla:econom:v:50:y:1983:i:197:p:79-85 is not listed on IDEAS
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. Dirk Bergemann & Xianwen Shi & Juuso Valimaki, 2009. "Information Acquisition in Interdependent Value Actions," Journal of the European Economic Association, MIT Press, vol. 7(1), pages 61-89, March.
    6. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    7. Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-1239, December.
    8. Blume, Andreas & Heidhues, Paul, 2004. "All equilibria of the Vickrey auction," Journal of Economic Theory, Elsevier, vol. 114(1), pages 170-177, January.
    9. Lee, Tom K., 1985. "Competition and information acquisition in first price auctions," Economics Letters, Elsevier, vol. 18(2-3), pages 129-132.
    10. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    11. Juan José Ganuza, 2003. "Ignorance promotes competition: An auction model with endogenous private valuations," Economics Working Papers 671, Department of Economics and Business, Universitat Pompeu Fabra.
    12. Tom K. Lee, 1984. "Incomplete Information, High-Low Bidding and Public Information in First Price Auctions," Management Science, INFORMS, vol. 30(12), pages 1490-1496, December.
    13. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    14. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356, World Scientific Publishing Co. Pte. Ltd..
    15. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    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. Tian, Guoqiang & Xiao, Mingjun, 2007. "Endogenous Information Acquisition on Opponents' Valuations in Multidimensional First Price Auctions," MPRA Paper 41214, University Library of Munich, Germany, revised Jan 2010.
    2. Vitali Gretschko & Alexander Rajko, 2015. "Excess information acquisition in auctions," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 335-355, September.
    3. Sushil Bikhchandani & Ichiro Obara, 2017. "Mechanism design with information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 783-812, March.
    4. 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.
    5. Kim, Jinwoo & Koh, Youngwoo, 2020. "Learning rivals' information in interdependent value auctions," Journal of Economic Theory, Elsevier, vol. 187(C).
    6. 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.
    7. Li, Yunan, 2019. "Efficient mechanisms with information acquisition," Journal of Economic Theory, Elsevier, vol. 182(C), pages 279-328.
    8. Bartling, Björn & Netzer, Nick, 2016. "An externality-robust auction: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 97(C), pages 186-204.
    9. Yunan Li, 2017. "Efficient Mechanisms with Information Acquisition," PIER Working Paper Archive 16-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 23 Jun 2017.
    10. Chen, Zhuoqiong, 2025. "Know thy enemy: Information acquisition in contests," European Economic Review, Elsevier, vol. 177(C).
    11. 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.
    12. repec:fth:calaec:17-97 is not listed on IDEAS
    13. Kim, Kyungmin & Koh, Youngwoo, 2022. "Auctions with flexible information acquisition," Games and Economic Behavior, Elsevier, vol. 133(C), pages 256-281.
    14. Sven Fischer & Werner Güth & Todd R. Kaplan & Ro'i Zultan, 2021. "Auctions With Leaks About Early Bids: Analysis And Experimental Behavior," Economic Inquiry, Western Economic Association International, vol. 59(2), pages 722-739, April.
    15. Schweizer, Nikolaus & Szech, Nora, 2017. "Revenues and welfare in auctions with information release," Journal of Economic Theory, Elsevier, vol. 170(C), pages 86-111.
    16. Kyungmin Kim & Benjamin Lester & Braz Camargo, 2012. "Subsidizing Price Discovery," 2012 Meeting Papers 338, Society for Economic Dynamics.
    17. Vitali Gretschko & Jasmina Simon, 2024. "An Efficient Dynamic Mechanism with Covert Information Acquisition," CRC TR 224 Discussion Paper Series crctr224_2024_616, University of Bonn and University of Mannheim, Germany.
    18. Guzman, Rolando M & Kolstad, Charles D., 1997. "Auction Equilibrium with Costly Information Acquisition," University of California at Santa Barbara, Economics Working Paper Series qt4w0787ng, Department of Economics, UC Santa Barbara.
    19. Blume, Andreas & Heidhues, Paul & Lafky, Jonathan & Münster, Johannes & Zhang, Meixia, 2009. "All equilibria of the multi-unit Vickrey auction," Games and Economic Behavior, Elsevier, vol. 66(2), pages 729-741, July.
    20. Takaaki Abe & Tsuyoshi Onda & Takehiko Yamato, 2025. "Second-price auctions with information acquisition costs," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 21-36, April.
    21. Xin Feng & Jingfeng Lu & Yeneng Sun, 2020. "Ex Ante Efficient Mechanism With Private Entry Costs," Economic Inquiry, Western Economic Association International, vol. 58(3), pages 1531-1541, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:pra:mprapa:41210. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.