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Endogenous entry and auctions design with private participation costs

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  • Lu, Jingfeng

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.

Suggested Citation

  • Lu, Jingfeng, 2006. "Endogenous entry and auctions design with private participation costs," MPRA Paper 934, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:934
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    File URL: https://mpra.ub.uni-muenchen.de/934/1/MPRA_paper_934.pdf
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    References listed on IDEAS

    as
    1. Sela, Aner & Kaplan, Todd, 2003. "Auctions with Private Entry Costs," CEPR Discussion Papers 4080, C.E.P.R. Discussion Papers.
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    4. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    5. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    6. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    7. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    8. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    9. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    10. Tan, Guofu, 1992. "Entry and R & D in procurement contracting," Journal of Economic Theory, Elsevier, vol. 58(1), pages 41-60, October.
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    Cited by:

    1. Cristián Troncoso-Valverde, 2018. "Releasing information in private-value second-price auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 781-817, May.
    2. Tian, Guoqiang & Xiao, Mingjun, 2009. "Vickrey Auctions with Sequential and Costly Participation," MPRA Paper 41203, University Library of Munich, Germany.
    3. Jingfeng Lu, 2009. "Auction design with opportunity cost," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 73-103, January.

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    More about this item

    Keywords

    Auctions Design; Ex Post Efficiency; Endogenous Participation; Multidimensional Screening; Vickrey Auction;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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