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Equilibria in Second Price Auctions with Participation Costs

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Author Info
Tan, Guofu
Yilankaya, Okan

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Abstract

We investigate equilibria of sealed-bid second price auctions with bidder participation costs in the independent private values environment. We focus on equilibria in which bidders use cut-off strategies (bid the valuation if it is greater than a certain cut-off point, otherwise do not participate), since if a bidder finds participating optimal, she cannot do better than bidding her valuation. When the bidders are symmetric, the concavity (respectively, strict convexity) of the c.d.f. from which the valuations are drawn is a sufficient condition for uniqueness (respectively, multiplicity) within this class. We also study a special case with asymmetric bidders and show that concavity/convexity plays a similar role.

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Paper provided by Microeconomics.ca Website in its series Micro Theory Working Papers with number tan-04-01-24-10-08-06.

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Date of creation: 24 Jan 2004
Date of revision: 09 Jun 2006
Handle: RePEc:ubc:pmicro:tan-04-01-24-10-08-06

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Related research
Keywords: Second price auctions; participation costs; multiplicity of equilibria;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. King, Ian & Welling, Linda & Preston McAfee, R., 1992. "Investment decisions under first and second price auctions," Economics Letters, Elsevier, vol. 39(3), pages 289-293, July. [Downloadable!] (restricted)
  2. Guofu Tan & Okan Yilankaya, 2005. "Ratifiability of Efficient Collusive Mechanisms in Second-Price Auctions with Participation Costs," IEPR Working Papers 05.15, Institute of Economic Policy Research (IEPR). [Downloadable!]
    Other versions:
  3. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June. [Downloadable!] (restricted)
  4. Celik, Gorkem & Yilankaya, Okan, 2005. "Optimal Auctions with Simultaneous and Costly Participation," Micro Theory Working Papers celik-05-05-09-03-55-40, Microeconomics.ca Website, revised 09 Jun 2006. [Downloadable!]
  5. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57. [Downloadable!] (restricted)
  6. Harstad, Ronald M, 1990. "Alternative Common-Value Auction Procedures: Revenue Comparisons with Free Entry," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 421-29, April. [Downloadable!] (restricted)
  7. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347. [Downloadable!] (restricted)
  8. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October. [Downloadable!] (restricted)
  9. Steven A. Matthews, 1995. "A Technical Primer on Auction Theory I: Independent Private Values," Discussion Papers 1096, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  10. Blume, Andreas & Heidhues, Paul, 2004. "All equilibria of the Vickrey auction," Journal of Economic Theory, Elsevier, vol. 114(1), pages 170-177, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Tan, Guofu & Yilankaya, Okan, 2004. "Ratifiability of Efficient Collusive Mechanisms in Second-Price Auctions with Participation Costs," Micro Theory Working Papers tan-04-04-30-01-35-41, Microeconomics.ca Website, revised 09 Jun 2006. [Downloadable!]
    Other versions:
  2. Lu, Jingfeng, 2006. "Endogenous entry and auctions design with private participation costs," MPRA Paper 934, University Library of Munich, Germany. [Downloadable!]
  3. Andreas Blume & Paul Heidhues & Jonathan Lafky & Johannes Münster & Meixia Zhang, 2006. "All Nash Equilibria of the Multi-Unit Vickrey Auction," Discussion Papers 116, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
    Other versions:
  4. Lu, Jingfeng, 2006. "Auctions design with private costs of valuation discovery," MPRA Paper 943, University Library of Munich, Germany. [Downloadable!]
  5. Celik, Gorkem & Yilankaya, Okan, 2005. "Optimal Auctions with Simultaneous and Costly Participation," Micro Theory Working Papers celik-05-05-09-03-55-40, Microeconomics.ca Website, revised 09 Jun 2006. [Downloadable!]
  6. Hongbin Cai & J. Vernon Henderson & Qinghua Zhang, 2009. "China's Land Market Auctions: Evidence of Corruption," NBER Working Papers 15067, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Jingfeng Lu, 2009. "Why a Simple Second-Price Auction Induces Efficient Endogenous Entry," Theory and Decision, Springer, vol. 66(2), pages 181-198, February. [Downloadable!] (restricted)
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