Auctions with Almost Homogeneous Bidders
We deviate from the symmetric case of the independent private value model by allowing the bidders’ value distributions, which depend on parameters, to be slightly different. We show that previous results about the equality to the first-order in the parameters between revenues from the second-price auction and other auction mechanisms follow from the joint differentiability of the equilibria with respect to the parameters. We prove this differentiability for the first-price auction and obtain general formulas for the different first-order effects. From our results about the first-price auction, we analytically generate examples with continuous distributions where a stochastic improvement to a bidder’s value distribution reduces his equilibrium payoff. In another application, we show that, starting from competition among cartels of equal sizes, allowing in a small number of members from other cartels can be profitable only if the members or the synergies between them are strong enough.
|Date of creation:||2006|
|Contact details of provider:|| Postal: 4700 Keele Street, Toronto, Ontario, M3J 1P3|
Phone: (416) 736-5083
Fax: (416) 736-5987
Web page: http://dept.econ.yorku.ca/
More information through EDIRC
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.:
- Bernard Lebrun, 2004.
"Uniqueness of the Equilibrium in First-Price Auctions,"
1, York University, Department of Economics, revised May 2004.
- Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
- Bernard Lebrun, 2004. "Uniqueness of the Equilibrium in First-Price Auctions," Working Papers 2004_2, York University, Department of Economics.
- 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.
- 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 125-142, February.
- Marshall Robert C. & Meurer Michael J. & Richard Jean-Francois & Stromquist Walter, 1994. "Numerical Analysis of Asymmetric First Price Auctions," Games and Economic Behavior, Elsevier, vol. 7(2), pages 193-220, September.
- Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
- Arozamena, Leandro & Cantillon, Estelle, 2001.
"Investment Incentives in Procurement Auctions,"
CEPR Discussion Papers
2676, C.E.P.R. Discussion Papers.
- Leandro Arozamena & Estelle Cantillon, 2000. "Investment Incentives in Procurement Auctions," Cowles Foundation Discussion Papers 1276, Cowles Foundation for Research in Economics, Yale University.
- Leandro Arozamena & Estelle Cantillon, 2004. "Investment incentives in procurement auctions," ULB Institutional Repository 2013/9005, ULB -- Universite Libre de Bruxelles.
- Thomas, Charles J., 1997. "Disincentives for cost-reducing investment," Economics Letters, Elsevier, vol. 57(3), pages 359-363, December.
- Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
- Fibich, Gadi & Gavious, Arieh & Sela, Aner, 2004. "Revenue equivalence in asymmetric auctions," Journal of Economic Theory, Elsevier, vol. 115(2), pages 309-321, April.
- Waehrer, Keith, 1999. "Asymmetric private values auctions with application to joint bidding and mergers," International Journal of Industrial Organization, Elsevier, vol. 17(3), pages 437-452, April.
When requesting a correction, please mention this item's handle: RePEc:yca:wpaper:2006_7. 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: (Support)
If references are entirely missing, you can add them using this form.