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Equilibria in first price auctions with participation costs

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  • Cao, Xiaoyong
  • Tian, Guoqiang

Abstract

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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Bibliographic Info

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

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Private values Participation costs First price auctions Existence and uniqueness of equilibrium;

References

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  1. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June.
  2. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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  4. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
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  9. Irene Martínez-Pardina, 2006. "First-price auctions where one of the bidders’ valuations is common knowledge," Review of Economic Design, Springer, vol. 10(1), pages 31-51, April.
  10. 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. Smith, James L. & Levin, Dan, 1996. "Ranking Auctions with Risk Averse Bidders," Journal of Economic Theory, Elsevier, vol. 68(2), pages 549-561, February.
  13. 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.
  14. Green, Jerry & Laffont, Jean-Jacques, 1984. "Participation constraints in the vickrey auction," Economics Letters, Elsevier, vol. 16(1-2), pages 31-36.
  15. 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.
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  17. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May.
  18. 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.
  19. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  20. 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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Citations

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Cited by:
  1. Xiaoyong Cao & Guoqiang Tian, 2013. "Second-Price Auctions with Different Participation Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(1), pages 184-205, 03.
  2. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.

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