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Strategic Price Discounting and Rationing in Uniform Price Auctions

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Author Info
Bourjade, Sylvain

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Abstract

Uniform price auctions admit a continuum of collusive seeming equilibria due to bidders' market power. In this paper, I modify the auction rules in allowing the seller to ration strategic bidders in order to ensure small bidders' participation. I show that many of these "bad" equilibria disappear when strategic bidders do not know small bidders' willingness to pay. Moreover, when the seller is unconstrained in the quantity she can allocate to small bidders, the unique equilibrium price is the highest that the seller could get.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7260.

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Date of creation: Mar 2003
Date of revision: Oct 2007
Handle: RePEc:pra:mprapa:7260

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Related research
Keywords: Uniform price Auctions Treasury Auctions IPO Rationing

Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Capital and Ownership Structure

This paper has been announced in the following NEP Reports:

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  1. Natalia Fabra & Nils-Henrik M. von der Fehr & David Harbord, 2006. "Designing Electricity Auctions," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 23-46, Spring.
    Other versions:
  2. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January. [Downloadable!] (restricted)
    Other versions:
  3. Rock, Kevin, 1986. "Why new issues are underpriced," Journal of Financial Economics, Elsevier, vol. 15(1-2), pages 187-212. [Downloadable!] (restricted)
  4. Madhavan, Ananth, 2000. "Market microstructure: A survey," Journal of Financial Markets, Elsevier, vol. 3(3), pages 205-258, August. [Downloadable!] (restricted)
  5. Peter Cramton & Suzi Kerr, 2002. "Tradeable Carbon Permit Auctions: How and Why to Auction Not Grandfather," Papers of Peter Cramton 02eptc, University of Maryland, Department of Economics - Peter Cramton, revised 06 May 2002. [Downloadable!]
    Other versions:
  6. Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002. [Downloadable!]
  7. Laussel, Didier, 1992. "Strategic Commercial Policy Revisited: A Supply-Function Equilibrium Model," American Economic Review, American Economic Association, vol. 82(1), pages 84-99, March.
    Other versions:
  8. Jeremy Bulow & Paul Klemperer, 2002. "Prices and the Winner's Curse," RAND Journal of Economics, The RAND Corporation, vol. 33(1), pages 1-21, Spring.
    Other versions:
  9. Nyborg, Kjell G. & Sundaresan, Suresh, 1996. "Discriminatory versus uniform Treasury auctions: Evidence from when-issued transactions," Journal of Financial Economics, Elsevier, vol. 42(1), pages 63-104, September. [Downloadable!] (restricted)
  10. 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, 08. [Downloadable!] (restricted)
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  11. Bolle, Friedel, 1992. "Supply function equilibria and the danger of tacit collusion : The case of spot markets for electricity," Energy Economics, Elsevier, vol. 14(2), pages 94-102, April. [Downloadable!] (restricted)
  12. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(4), pages 733-64. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
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  14. 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.
  15. Yakov Amihud & Haim Mendelson & Jun Uno, 1999. "Number of Shareholders and Stock Prices: Evidence from Japan," Journal of Finance, American Finance Association, vol. 54(3), pages 1169-1184, 06. [Downloadable!] (restricted)
  16. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  17. 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.
    Other versions:
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