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A Complete Characterization of Pure Strategy Equilibrium in Uniform Price IPO Auctions

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  • Ping Zhang

    () (University of Nottingham)

Abstract

Collusive equilibria in share auctions despite being the focus of previous theoretical research, have received little empirical or experimental support. We develop a theoretical model of uniform price initial public offering (IPO) auctions and show that there exists a continuum of pure strategy equilibria where investors with a higher expected valuation bid more aggressively and as a result the market price increases with the market value. The collusive equilibria lie in fact on the boundary of this set, which is obtained under stricter conditions when demand is discrete than in the continuous format. Our results have important implications for the design of IPO auctions.

Suggested Citation

  • Ping Zhang, 2006. "A Complete Characterization of Pure Strategy Equilibrium in Uniform Price IPO Auctions," Discussion Papers 2006-06, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  • Handle: RePEc:cdx:dpaper:2006-06
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    File URL: http://www.nottingham.ac.uk/cedex/documents/papers/2006-06.pdf
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    References listed on IDEAS

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    1. Glenn W. Harrison & John A. List, 2004. "Field Experiments," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1009-1055, December.
    2. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2005. "Strategic Behavior and Underpricing in Uniform Price Auctions: Evidence from Finnish Treasury Auctions," Journal of Finance, American Finance Association, vol. 60(4), pages 1865-1902, August.
    3. Fabra, Natalia & von der Fehr, Nils-Henrik & Harbord, David, 2002. "Modeling Electricity Auctions," The Electricity Journal, Elsevier, vol. 15(7), pages 72-81.
    4. David Lucking-Reiley & John A. List, 2000. "Demand Reduction in Multiunit Auctions: Evidence from a Sportscard Field Experiment," American Economic Review, American Economic Association, vol. 90(4), pages 961-972, September.
    5. Umlauf, Steven R., 1993. "An empirical study of the Mexican Treasury bill auction," Journal of Financial Economics, Elsevier, vol. 33(3), pages 313-340, June.
    6. Ilan Kremer, 2004. "Underpricing and Market Power in Uniform Price Auctions," Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 849-877.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    IPO; uniform price auction; divisible goods; share auctions; tacit collusion;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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