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Vickrey Auctions with Sequential and Costly Participation

  • Tian, Guoqiang
  • Xiao, Mingjun

This paper investigates the cutoff strategies and the effects of sequential and costly participation in Vickrey auctions with independent private value settings. It demonstrates a Stackelberg version of participation decision in auctions, while simultaneous participation can be regarded as a Cournot version in auctions. Buyers adopt cut-off participation strategies. In two-buyer case, the cutoff strategy equilibrium is unique. The follower's critical values are always monotonic in participation cost in both symmetric and asymmetric settings. This is also true for the leader with mild conditions on c.d.fs. We also characterize equilibria in three-buyer and more general n-buyer environments. We then study buyer's preference to be a leader or a follower. Comparison with simultaneous model shows that the driven-out effect is much stronger in our sequential participation model, which implies the simultaneous specification might not be desirable.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41203.

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Date of creation: Jan 2009
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Handle: RePEc:pra:mprapa:41203
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  1. Cao, Xiaoyong & Tian, Guoqiang, 2007. "Second-price Auction with Two-Dimensional Private Information on Values and Participation Costs," MPRA Paper 41224, University Library of Munich, Germany.
  2. Green, Jerry & Laffont, Jean-Jacques, 1984. "Participation constraints in the vickrey auction," Economics Letters, Elsevier, vol. 16(1-2), pages 31-36.
  3. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
  4. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-53, October.
  5. Cho, In-Koo & Kreps, David M, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 179-221, May.
  6. Lu, Jingfeng, 2006. "Endogenous entry and auctions design with private participation costs," MPRA Paper 934, University Library of Munich, Germany.
  7. Campbell, Colin M., 1998. "Coordination in Auctions with Entry," Journal of Economic Theory, Elsevier, vol. 82(2), pages 425-450, October.
  8. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June.
  9. Chakraborty, Indranil & Kosmopoulou, Georgia, 2001. "Auctions with endogenous entry," Economics Letters, Elsevier, vol. 72(2), pages 195-200, August.
  10. Guofu Tan & Okan Yilankaya, 2005. "Equilibria in Second Price Auctions with Participation Costs," IEPR Working Papers 05.7, Institute of Economic Policy Research (IEPR).
  11. Kaplan, Todd & Sela, Aner, 2003. "Auctions with Private Entry Costs," CEPR Discussion Papers 4080, C.E.P.R. Discussion Papers.
  12. 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.
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