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|
|Date of revision:|
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- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
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- Leandro Arozamena & Estelle Cantillon, 2004.
"Investment Incentives in Procurement Auctions,"
Review of Economic Studies,
Wiley Blackwell, vol. 71(1), pages 1-18, 01.
- 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.
- Arozamena, Leandro & Cantillon, Estelle, 2001. "Investment Incentives in Procurement Auctions," CEPR Discussion Papers 2676, C.E.P.R. Discussion Papers.
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- Bernard Lebrun, 2004. "Uniqueness of the Equilibrium in First-Price Auctions," Discussion Papers 1, York University, Department of Economics, revised May 2004.
- Fibich, Gadi & Gavious, Arieh & Sela, Aner, 2004. "Revenue equivalence in asymmetric auctions," Journal of Economic Theory, Elsevier, vol. 115(2), pages 309-321, April.
- Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
- 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.
- Bernard Lebrun, 2004. "Uniqueness of the Equilibrium in First-Price Auctions," Working Papers 2004_2, York University, Department of Economics.
- Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
- 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.
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