Tian, Guoqiang and Xiao, Mingjun (2009): Vickrey Auctions with Sequential and Costly Participation.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Vickrey Auctions with Sequential and Costly Participation|
|Keywords:||Sequential Participation, Participation Cost, Second Price Auction|
|Subjects:||D - Microeconomics > D4 - Market Structure and Pricing > D44 - Auctions
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D80 - General
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games
|Depositing User:||Guoqiang Tian|
|Date Deposited:||12. Sep 2012 12:49|
|Last Modified:||27. Feb 2013 05:10|
 Cao, Xiaoyong and Tian, Guoqiang (2008), "Second Price Auctions with Two-Dimensional Private Information on Values and Participation Costs," working paper.
 Cao, Xiaoyong and Tian, Guoqiang (2008a), "First Price Auctions with Participation Costs," Texas A&M University, working paper.
 Cao, Xiaoyong and Tian, Guoqiang (2008b), "Second Price Auctions with Differentiated Participation Costs," Texas A&M University, working paper.
 Campbell, Colin M. (1998),"Coordination Auctions with Entry," Journal of Economic The- ory, Vol.82, pp.425-450.
 Chakraborty, Indranil and Kosmopoulou, Georgia (2001), "Auctions with endogenous en- try," Economics Letters, Vol.72, pp.195-200.
 Cho, In-Koo and Kreps, David M. (1987), "Signaling games and stable equilibria," Quar- terly Journal of Economics, Vol.52, pp.179-221.
 Gal-Or, Esther (1985),"First Mover and Second Mover Advantages," International Eco- nomic Review, Vol. 26, No.3, pp.649-653.
 Green, Jerry and Laffont, Jean-Jacques (1984), "Participation Constraints in the Vickrey Auction," Economics Letters, Vol.16, pp.31-36.
 Harstad, Ronald M., Kagel, John H. and Levin, Dan (1990), "Equilibrium Bid Functions for Auctions with an Uncertain Number of Bidders," Economics Letters, Vol. 33, pp.35-40.
 Kaplan, Todd and Sela, Aner (2003), "Auctions with Private Entry Costs," CEPR Discus- sion Papers 4080.
 Kaplan, Todd R. and Sela, Aner (2006), "Second-Price Auctions with Private Entry Costs." Available at SSRN: http://ssrn.com/abstract=442521
 Krishna, V., "Auction Theory,"Academic Press, San Diego, California. 2002.
 Levin, D. and Smith, J.L. (1994), "Equilibrium in Auctions with Entry," American Eco- nomic Review, Vol.84, pp.585-599.
 Lu, Jingfeng (2006), "Endogenous entry and auctions design with private participation costs," MPRA Paper 934, University Library of Munich, Germany.
 McAfee, R.P. and McMillan, J. (1987), "Auctions with entry," Economics Letters Vol.23, pp.343-347.
 Menezes, F.M. and Monterio, P.K. (2000), "Auctions with Endogeneous Participation," Review of Economic Design, Vol.5, pp.71-89.
 Moreno, Diegon and Wooders, John (2006), "Auctions with heterogeneous entry costs," Economics Working Papers in Universidad Carlos III, Departamento de Economia.
 Samuelson, William F.(1985),"Competitive bidding with entry costs" Economics Letters, Vol.17, No.1-2, pp.53-57.
 Stageman, Mark (1996),"Participation Costs and E±cient Auctions," Journal of Economic Theory, Vol.71, pp.228-259.
 Tan, Guofu and Yilankaya, Okan (2006), "Equilibria in Second Price Auctions with Par- ticipation Costs,"Journal of Economic Theory, Vol.130, pp.205-219.
 Vickrey, William (1961), "Counterspeculation, Auctions, and Competitive Sealed-Tenders," Journal of Finance, Vol.16, No.1, pp.8-37.