First-Price Auctions when the Ranking of Valuations
AbstractWe consider an augmented version of the symmetric private value auction model with independent types. The augmentation, intended to illustrate reality, concerns information bidders have about their opponents. To the standard assumption that every bidder knows his type and the distribution of types is common knowledge we add the assumption that the ranking of bidders' valuations is common knowledge. This set-up induces a particular asymmetric auction model that raises serious technical difficulties. We prove existence and uniqueness of equilibrium in pure strategies in the two bidder case. We also show that the model generally has no analytic solution. If the distribution of valuations is uniform, both bidders bid pointwise more aggressively relative to the standard symmetric case. However, this property does not apply to all distributions of valuations. Finally, we also provide a numerical solution of equilibrium bid functions for the uniform distribution case.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by EconWPA in its series Microeconomics with number 9701004.
Date of creation: 24 Jan 1997
Date of revision:
Contact details of provider:
Web page: http://188.8.131.52
Find related papers by JEL classification:
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
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.:
- McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
- Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
- Elmar WOLFSTETTER, 1994.
"Auctions: An Introduction,"
SFB 373 Discussion Papers
1994,13, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Paul Milgrom & Robert J. Weber, 1981.
"A Theory of Auctions and Competitive Bidding,"
447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 439-54, July.
- Alexander Elbittar, 2003.
"Impact of Valuation Ranking Information on Bidding in First-Price Auctions: A Laboratory Study,"
0304, Centro de Investigacion Economica, ITAM.
- Elbittar, Alexander, 2009. "Impact of valuation ranking information on bidding in first-price auctions: A laboratory study," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 75-85, January.
- Motty Perry & Elmar G. Wolfstetter & Shmuel Zamir, 2000.
"A Sealed-Bid Auction that Matches the English Auction,"
CESifo Working Paper Series
249, CESifo Group Munich.
- Perry, Motty & Wolfstetter, Elmar & Zamir, Shmuel, 2000. "A Sealed-Bid Auction That Matches the English Auction," Games and Economic Behavior, Elsevier, vol. 33(2), pages 265-273, November.
- Perry, Motty & Wolfstetter, Elmar & Zamir, Shmuel, 1998. "A sealed-bid auction that matches the English auction," SFB 373 Discussion Papers 1998,63, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Rene Kirkegaard, 2005. "A Simple Approach to Analyzing Asymmetric First Price Auctions," Working Papers 0504, Brock University, Department of Economics, revised Nov 2005.
- Elmar G. Wolfstetter, 2001.
"The Swiss UMTS Spectrum Auction Flop: Bad Luck or Bad Design,"
CESifo Working Paper Series
534, CESifo Group Munich.
- Wolfstetter, Elmar, 2001. "The Swiss UMTS spectrum auction flop: Bad luck or bad design?," SFB 373 Discussion Papers 2001,50, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Hayley Chouinard, 2006. "Repeated Auctions with the Right of First Refusal and Asymmetric Information," Working Papers 2006-6, School of Economic Sciences, Washington State University.
- Hayley Chouinard & Jonathan Yoder, 2006.
"Repeated Auctions with the Right of First Refusal,"
7, School of Economic Sciences, Washington State University, revised Jul 2007.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (EconWPA).
If references are entirely missing, you can add them using this form.