Using lotteries in auctions when buyers collude
This paper studies the optimal auction for a seller who is bound to sell a single item to one of two potential buyers organized in a ”well-coordinated” cartel. After discussing the way the cartel reacts to any auction mechanism, we show that if the seller has no way to deter collusion, he can still accomodate it optimally with a very simple mechanism, either having the cartel pay to get an efficient allocation or randomly allocating the item. We then discuss the way to implement this mechanism, so that it enables a fair amount of competition if the seller made a mistake and the buyers don’t collude. We find that a simple implementation using reserve prices and lotteries may yield expected revenues close to the optimum if buyers compete, while highly increasing expected revenues if they collude. Finally, we discuss the extension to the n-buyers case.
|Date of creation:||04 Oct 2005|
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|Note:||Type of Document - pdf; pages: 30.|
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- Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004.
"Tacit collusion in repeated auctions,"
Journal of Economic Theory,
Elsevier, vol. 114(1), pages 153-169, January.
- Athey, Susan & Bagwell, Kyle, 2001.
"Optimal Collusion with Private Information,"
RAND Journal of Economics,
The RAND Corporation, vol. 32(3), pages 428-65, Autumn.
- Drew Fudenberg & David K. Levine & Eric Maskin, 1994.
"The Folk Theorem with Imperfect Public Information,"
Levine's Working Paper Archive
394, David K. Levine.
- Fudenberg, Drew & Levine, David I & Maskin, Eric, 1994. "The Folk Theorem with Imperfect Public Information," Econometrica, Econometric Society, vol. 62(5), pages 997-1039, September.
- Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 2058, David K. Levine.
- Fudenberg, D. & Levine, D.K. & Maskin, E., 1989. "The Folk Theorem With Inperfect Public Information," Working papers 523, Massachusetts Institute of Technology (MIT), Department of Economics.
- Masaki Aoyagi, 2002.
"Efficient Collusion in Repeated Auctions with Communication,"
ISER Discussion Paper
0566, Institute of Social and Economic Research, Osaka University.
- Aoyagi, Masaki, 2007. "Efficient collusion in repeated auctions with communication," Journal of Economic Theory, Elsevier, vol. 134(1), pages 61-92, May.
- Maskin, Eric S & Riley, John G, 1984.
"Optimal Auctions with Risk Averse Buyers,"
Econometric Society, vol. 52(6), pages 1473-1518, November.
- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
Econometric Society, vol. 50(5), pages 1089-1122, September.
- Owen R. Phillips & Dale J. Menkhaus & Kalyn T. Coatney, 2003. "Collusive Practices in Repeated English Auctions: Experimental Evidence on Bidding Rings," American Economic Review, American Economic Association, vol. 93(3), pages 965-979, June.
- Cramton, Peter C & Palfrey, Thomas R, 1990.
"Cartel Enforcement with Uncertainty about Costs,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 17-47, February.
- Cramton, Peter C. & Palfrey, Thomas R., 1986. "Cartel Enforcement with Uncertainty About Costs," Working Papers 619, California Institute of Technology, Division of the Humanities and Social Sciences.
- Peter Cramton & Thomas R. Palfrey, 1991. "Cartel Enforcement with Uncertainty About Costs," Papers of Peter Cramton 90ier, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
- Robert H. Porter & J. Douglas Zona, 1999.
"Ohio School Milk Markets: An Analysis of Bidding,"
RAND Journal of Economics,
The RAND Corporation, vol. 30(2), pages 263-288, Summer.
- Marshall, R.C. & Richard J.F., 1995.
"Bider Collusion at Forest Service Timber Sales,"
7-95-3, Pennsylvania State - Department of Economics.
- McAfee, R Preston & McMillan, John, 1992.
American Economic Review,
American Economic Association, vol. 82(3), pages 579-99, June.
- Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-39, December.
- Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
- Hay, George A & Kelley, Daniel, 1974. "An Empirical Survey of Price Fixing Conspiracies," Journal of Law and Economics, University of Chicago Press, vol. 17(1), pages 13-38, April.
- Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
- Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 381-411, July.
- William S. Comanor & Mark A. Schankerman, 1976. "Identical Bids and Cartel Behavior," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 281-286, Spring.
- Andreas Blume & Paul Heidhues, 2001. "Tacit Collusion in Repeated Auctions," CIG Working Papers FS IV 01-23, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
- McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
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