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Equilibria in Second Price Auctions with Information Acquisition

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  • 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
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    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. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    6. 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.
    7. 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..
    8. 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.
    9. Blume, Andreas & Heidhues, Paul, 2004. "All equilibria of the Vickrey auction," Journal of Economic Theory, Elsevier, vol. 114(1), pages 170-177, January.
    10. 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.
    11. Lee, Tom K., 1985. "Competition and information acquisition in first price auctions," Economics Letters, Elsevier, vol. 18(2-3), pages 129-132.
    12. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    13. Juan-José Ganuza, 2003. "Ignorance Promotes Competition: an Auction Model with Endogenous Private Valuations," Working Papers 107, Barcelona School of Economics.
    14. 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.
    15. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
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    More about this item

    Keywords

    Second price auctions; information acquisition; heterogenous bidders; the existence and uniqueness of equilibrium;
    All these 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

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