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Selling shares to retail investors: auction vs. fixed price

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  • Jürgen Bierbaum
  • Veronika Grimm

Abstract

We analyze the problem of selling shares of a divisible good to a large number of buyers when demand is uncertain. We characterize equilibria of two popular mechanisms, a fixed price mechanism and a uniform price auction, and compare the revenues. While in the auction truthful bidding is a dominant strategy, we find that bidders have an incentive to overstate their demand in the fixed price mechanism. For some parameter values this yields the surprising result that the fixed price mechanism outperforms the auction.
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Suggested Citation

  • Jürgen Bierbaum & Veronika Grimm, 2006. "Selling shares to retail investors: auction vs. fixed price," Review of Economic Design, Springer;Society for Economic Design, vol. 10(2), pages 85-112, August.
    • Handle: RePEc:spr:reecde:v:10:y:2006:i:2:p:85-112
    DOI: 10.1007/s10058-006-0007-y
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Jürgen Bierbaum & Veronika Grimm, 2006. "Selling shares to retail investors: auction vs. fixed price," Review of Economic Design, Springer;Society for Economic Design, vol. 10(2), pages 85-112, August.
    3. Ilan Kremer & Kjell G. Nyborg, 2004. "Divisible-Good Auctions: The Role of Allocation Rules," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 147-159, Spring.
    4. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    5. Nautz, D. & Wolfstetter, E., 1997. "Bid shading and risk aversion in multi-unit auctions with many bidders," Economics Letters, Elsevier, vol. 56(2), pages 195-200, October.
    6. Sherman, Ann E. & Titman, Sheridan, 2002. "Building the IPO order book: underpricing and participation limits with costly information," Journal of Financial Economics, Elsevier, vol. 65(1), pages 3-29, July.
    7. Richard J. Gilbert & Paul Klemperer, 2000. "An Equilibrium Theory of Rationing," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 1-21, Spring.
    8. Biais, Bruno & Faugeron-Crouzet, Anne Marie, 2002. "IPO Auctions: English, Dutch, ... French, and Internet," Journal of Financial Intermediation, Elsevier, vol. 11(1), pages 9-36, January.
    9. Nautz, D., 1995. "Optimal bidding in multi-unit auctions with many bidders," Economics Letters, Elsevier, vol. 48(3-4), pages 301-306, June.
    10. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
    11. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
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    Citations

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    Cited by:

    1. Funaki, Yukihiko & Shino, Junnosuke & Uto, Nobuyuki, 2020. "Vulnerability of fixed-rate funds-supplying operations to overbidding: An experimental approach," Global Finance Journal, Elsevier, vol. 46(C).
    2. Veronika Grimm & Jaromir Kovarik & Giovanni Ponti, 2008. "Fixed price plus rationing: an experiment," Experimental Economics, Springer;Economic Science Association, vol. 11(4), pages 402-422, December.
    3. Guray Kucukkocaoglu, 2007. "Underpricing in Turkey: Comparison of the IPO Methods," Money Macro and Finance (MMF) Research Group Conference 2006 8, Money Macro and Finance Research Group.
    4. Ping Zhang, 2009. "Characterization of Pure Strategy Equilibria in Uniform Price IPO Auctions," Discussion Papers 2009-05, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    5. Jürgen Bierbaum & Veronika Grimm, 2006. "Selling shares to retail investors: auction vs. fixed price," Review of Economic Design, Springer;Society for Economic Design, vol. 10(2), pages 85-112, August.
    6. Ravi Jagannathan & Ann E. Sherman, 2006. "Why Do IPO Auctions Fail?," NBER Working Papers 12151, National Bureau of Economic Research, Inc.
    7. Ping Zhang, 2009. "Characterization of Pure Strategy Equilibria in Uniform Price IPO Auctions," Discussion Papers 2009-05, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    8. Guray Kucukkocaoglu & Ozge Sezgin Alp, 2012. "IPO mechanism selection by using Classification and Regression Trees," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(3), pages 873-888, April.

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    More about this item

    Keywords

    IPO; Uniform price auction; Open offer; Proportional rationing; D44; D45; G32;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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