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Endogenous entry and auctions design with private participation costs

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Author Info
Lu, Jingfeng

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Abstract

This paper studies endogenous entry and ex ante revenue-maximizing auctions in an independent private value setting where potential bidders have private-information entry costs. The contribution of this paper is four-fold. First, we show that any equilibrium entry can be characterized through a set of continuous and monotonic shutdown curves that separate the bidders' types into participating and nonparticipating categories. Second, the expected winning probability of a participant does not depend on his private entry cost. Furthermore, the expected winning probabilities of the participating types are given by the slopes of the shutdown curves. Third, symmetric entry equilibria (shutdown curves) implemented by the classes of ex post efficient or ex post revenue-maximizing mechanisms are completely characterized. Fourth, within these two classes of mechanisms, a modified Vickrey auction with uniform reserve price and entry subsidy is ex ante revenue-maximizing. The desired entry subsidy and reserve price are determined by the lower end of the corresponding shutdown curve.

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File URL: http://mpra.ub.uni-muenchen.de/934/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 934.

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Date of creation: Nov 2006
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Handle: RePEc:pra:mprapa:934

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Related research
Keywords: Auctions Design Ex Post Efficiency Endogenous Participation Multidimensional Screening Vickrey Auction.

Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

This paper has been announced in the following NEP Reports:

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. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January. [Downloadable!] (restricted)
  2. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57. [Downloadable!] (restricted)
  3. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 455-81, July.
  4. Tan, Guofu & Yilankaya, Okan, 2004. "Equilibria in Second Price Auctions with Participation Costs," Micro Theory Working Papers tan-04-01-24-10-08-06, Microeconomics.ca Website, revised 09 Jun 2006. [Downloadable!]
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  5. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347. [Downloadable!] (restricted)
  6. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October. [Downloadable!] (restricted)
  7. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  8. Green, Jerry & Laffont, Jean-Jacques, 1984. "Participation constraints in the vickrey auction," Economics Letters, Elsevier, vol. 16(1-2), pages 31-36. [Downloadable!] (restricted)
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