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Equilibria in second price auctions with participation costs

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  • Tan, Guofu
  • Yilankaya, Okan

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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Suggested Citation

  • Tan, Guofu & Yilankaya, Okan, 2006. "Equilibria in second price auctions with participation costs," Journal of Economic Theory, Elsevier, vol. 130(1), pages 205-219, September.
  • Handle: RePEc:eee:jetheo:v:130:y:2006:i:1:p:205-219
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    References listed on IDEAS

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    1. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    2. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    3. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    4. McAfee, R Preston & Quan, Daniel C & Vincent, Daniel R, 2002. "How to Set Minimum Acceptable Bids, with an Application to Real Estate Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 50(4), pages 391-416, December.
    5. 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.
    6. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    7. 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 421-429, April.
    8. 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.
    9. Blume, Andreas & Heidhues, Paul, 2004. "All equilibria of the Vickrey auction," Journal of Economic Theory, Elsevier, vol. 114(1), pages 170-177, January.
    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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    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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