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Equilibria in first price auctions with participation costs

  • Cao, Xiaoyong
  • Tian, Guoqiang

This paper characterizes the equilibria of first price auctions with participation costs in the independent private values environment. Bidders use cutoff strategies to decide whether they will participate in the auction. It is shown that, when bidders are homogeneous, there always exists a unique symmetric equilibrium, and further, there is no other equilibrium when valuation distribution functions are inelastic. When distribution functions are elastic at the symmetric equilibrium, there exists an asymmetric equilibrium. Inelasticity/elasticity includes concavity/convexity of distribution functions as a special case. We find similar results when bidders are heterogeneous.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 69 (2010)
Issue (Month): 2 (July)
Pages: 258-273

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Handle: RePEc:eee:gamebe:v:69:y:2010:i:2:p:258-273
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Kaplan, Todd & Sela, Aner, 2003. "Auctions with Private Entry Costs," CEPR Discussion Papers 4080, C.E.P.R. Discussion Papers.
  2. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
  3. Tan, Guofu & Yilankaya, Okan, 2004. "Equilibria in Second Price Auctions with Participation Costs," Microeconomics.ca working papers tan-04-01-24-10-08-06, Vancouver School of Economics, revised 09 Jun 2006.
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  12. Miralles, Antonio, 2008. "Intuitive and noncompetitive equilibria in weakly efficient auctions with entry costs," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 448-455, November.
  13. Paulo K. Monteiro & Flavio M. Menezes, 2000. "original papers : Auctions with endogenous participation," Review of Economic Design, Springer, vol. 5(1), pages 71-89.
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  17. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
  18. Todd Kaplan & Shmuel Zamir, 2012. "Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case," Economic Theory, Springer, vol. 50(2), pages 269-302, June.
  19. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
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