Asymmetric Auctions: Analytic Solutions to the General Uniform Case
While auction research, including asymmetric auctions, has grown significantly in recent years, there is still little analytical solutions of first-price auctions outside the symmetric case. Even in the uniform case, Griesmer et al. (1967) and Plum (1992) find solutions only to the case where the lower bounds of the two distributions are the same. We present the general analytical solutions to asymmetric auctions in the uniform case for two bidders, both with and without a minimum bid. We show that our solution is consistent with the previously known solutions of auctions with uniform distributions. Several interesting examples are presented including a class where the two bid functions are linear. We hope this result improves our understanding of auctions and provides a useful tool for future research in auctions.
(This abstract was borrowed from another version of this item.)
References listed on IDEAS
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.:
- Lebrun, Bernard, 1997.
"First Price Auctions in the Asymmetric N Bidder Case,"
Cahiers de recherche
9715, Université Laval - Département d'économique.
- Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-42, February.
- Cantillon, Estelle, 2008.
"The effect of bidders' asymmetries on expected revenue in auctions,"
Games and Economic Behavior,
Elsevier, vol. 62(1), pages 1-25, January.
- Estelle Cantillon, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," ULB Institutional Repository 2013/9001, ULB -- Universite Libre de Bruxelles.
- Estelle Cantillon, 2000. "The Effect of Bidders' Asymmetries on Expected Revenue in Auctions," Cowles Foundation Discussion Papers 1279, Cowles Foundation for Research in Economics, Yale University.
- Wolfstetter, Elmar, 1996.
" Auctions: An Introduction,"
Journal of Economic Surveys,
Wiley Blackwell, vol. 10(4), pages 367-420, December.
- M. Landsberger & J. Rubinstein & E. Wolfstetter & S. Zamir, 1996.
"First-Price Auctions when the Ranking of Valuations is Common Knowledge,"
SFB 373 Discussion Papers
1996,36, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Jacob Rubinstein & Elmar Wolfstetter & Michael Landsberger & Shmuel Zamir, 2001. "First-price auctions when the ranking of valuations is common knowledge," Review of Economic Design, Society for Economic Design, vol. 6(3), pages 461-480.
- Michael Landsberger & Jacob Rubinstein & Elmar Wolfstetter & Shmuel Zamir, 1999. "First-Price Auctions when the Ranking of Valuations is Common Knowledge," Working Papers 99-18, Centre de Recherche en Economie et Statistique.
- Plum, M, 1992. "Characterization and Computation of Nash-Equilibria for Auctions with Incomplete Information," International Journal of Game Theory, Game Theory Society, vol. 20(4), pages 393-418.
- Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
- Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
When requesting a correction, please mention this item's handle: RePEc:cla:levrem:321307000000000410. 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: (David K. Levine)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.