The Complete Information First. Price Auction or the Importance of Being Indivisible
Abstract Despite the popularity of auction theoretical thinking, it appears that no one has presented an elementary equilibrium analysis of the first-price sealed-bid auction mechanism under complete information. This paper aims to remedy that omission. We show that the existence of pure strategy undominated Nash equilibria requires that the bidding space is not "too divisible" (that is, a continuum). In fact, when bids must form part of a finite grid there always exists a "high price equilibrium". However, there might also be "low price equilibria" and when the bidding space is very restrictive the revenue obtained in these "low price equilibria" might be very low. We discuss the properties of the equilibria and an application of auction theoretical thinking in which "low price equilibria" may be relevant. Keywords: First-price auctions, undominated Nash equilibria. JEL Classification Numbers: C72 (Noncooperative Games), D44 (Auctions).
|Date of creation:||2008|
|Date of revision:|
|Contact details of provider:|| Postal: Avda. de la Universitat,1 - 43204 Reus (Tarragona)|
Phone: 977 75 98 00
Fax: 977 75 98 10
Web page: http://www.urv.cat
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993.
"Rigging the Lobbying Process: An Application of the All-Pay Auction,"
American Economic Review,
American Economic Association, vol. 83(1), pages 289-94, March.
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1992. "Rigging the Lobbying Process: An Application of the All- Pay Auction," Papers 9-92-2, Pennsylvania State - Department of Economics.
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "Rigging The Lobbying Process: An Application Of The All- Pay Auction," Purdue University Economics Working Papers 1002, Purdue University, Department of Economics.
- Baye, M.R. & Kovenock, D. & De Vries, C., 1992.
"The All-Pay Auction with Complete Information,"
8-92-1, Pennsylvania State - Department of Economics.
- Baye, M. & Kovenock, D. & de Vries, C., 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
- Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "The All-Pay Auction With Complete Information," Purdue University Economics Working Papers 1007, Purdue University, Department of Economics.
- Martin Shubik, 1971. "The Dollar Auction game: a paradox in noncooperative behavior and escalation," Journal of Conflict Resolution, Peace Science Society (International), vol. 15(1), pages 109-111, March.
- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
Econometric Society, vol. 50(5), pages 1089-1122, September.
- Blume, Andreas, 2003. "Bertrand without fudge," Economics Letters, Elsevier, vol. 78(2), pages 167-168, February.
- Jean-Pierre Benoît & Vijay Krishna, 2001.
"Multiple-Object Auctions with Budget Constrained Bidders,"
Review of Economic Studies,
Oxford University Press, vol. 68(1), pages 155-179.
- Jean-Pierre Benoit & Vijay Krishna, 1998. "Multiple-Object Auctions with Budget Constrained Bidders," Game Theory and Information 9805001, EconWPA, revised 26 Jul 1999.
- Wedad Elmaghraby & Shmuel S. Oren, 1999. "The Efficiency of Multi-Unit Electricity Auctions," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 89-116.
- Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2003.
"Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany,"
International Journal of Industrial Organization,
Elsevier, vol. 21(10), pages 1557-1569, December.
- Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2001. "Low price equilibrium in multi-unit auctions: The GSM spectrum auction in Germany," SFB 373 Discussion Papers 2001,31, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Veronika Grimm & Frank Riedel & Elmar G. Wolfstetter, 2001. "Low Price Equilibrium in Multi-Unit Auctions: The GSM Spectrum Auction in Germany," CESifo Working Paper Series 506, CESifo Group Munich.
- Chwe, Michael Suk-Young, 1989. "The discrete bid first auction," Economics Letters, Elsevier, vol. 31(4), pages 303-306, December.
- Menezes, Flavio Marques, 2000.
"An auction theoretical approach to fiscal wars,"
Economics Working Papers (Ensaios Economicos da EPGE)
406, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Simon, Leo K. & Zame, William R., 1987.
"Discontinous Games and Endogenous Sharing Rules,"
Department of Economics, Working Paper Series
qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Moldovanu, Benny & Sela, Aner, 2003.
"Patent licensing to Bertrand competitors,"
International Journal of Industrial Organization,
Elsevier, vol. 21(1), pages 1-13, January.
- Taylor, Leon, 1992. "Infrastructural competition among jurisdictions," Journal of Public Economics, Elsevier, vol. 49(2), pages 241-259, November.
When requesting a correction, please mention this item's handle: RePEc:urv:wpaper:2072/13264. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ariadna Casals)
If references are entirely missing, you can add them using this form.