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Optimal Auctions When A Seller Is Bound To Sell To Collusive Bidders

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  • NICOLAS GRUYER

Abstract

I consider optimal auctions for a seller who is bound to sell a single item to one of two potential buyers, organized in a ‘well‐coordinated’ cartel. I show that, even though the seller cannot deter collusion, he can optimally accommodate it by employing a simple mechanism which imposes an inefficient allocation on the bidders unless they pay a sufficiently high amount to avoid it.

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  • Nicolas Gruyer, 2009. "Optimal Auctions When A Seller Is Bound To Sell To Collusive Bidders," Journal of Industrial Economics, Wiley Blackwell, vol. 57(4), pages 835-850, December.
  • Handle: RePEc:bla:jindec:v:57:y:2009:i:4:p:835-850
    DOI: 10.1111/j.1467-6451.2009.00397.x
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    1. Dequiedt, Vianney, 2007. "Efficient collusion in optimal auctions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 302-323, September.
    2. Yeon-Koo Che & Jinwoo Kim, 2006. "Robustly Collusion-Proof Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1063-1107, July.
    3. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-699, August.
    4. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
    5. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    6. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    7. 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.
    8. Lucia Quesada, 2005. "Collusion as an Informed Principal Problem," Game Theory and Information 0504002, University Library of Munich, Germany.
    9. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
    10. Eshien Chong & Freddy Huet & Stéphane Saussier & Faye Steiner, 2006. "Public-Private Partnerships and Prices: Evidence from Water Distribution in France," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 29(1), pages 149-169, September.
    11. Gregory Pavlov, 2006. "Colluding on Participation Decisions," Boston University - Department of Economics - Working Papers Series WP2006-030, Boston University - Department of Economics.
    12. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    13. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
    14. Andreas Blume & Paul Heidhues, 2008. "Modeling Tacit Collusion in Auctions," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 164(1), pages 163-184, March.
    15. 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.
    16. 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.
    17. 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 1217-1239, December.
    18. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 381-411.
    19. Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
    20. 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.
    21. Maggi G. & Rodriguez-Clare A., 1995. "On Countervailing Incentives," Journal of Economic Theory, Elsevier, vol. 66(1), pages 238-263, June.
    22. Vernon A. Mund, 1960. "Identical Bid Prices," Journal of Political Economy, University of Chicago Press, vol. 68(2), pages 150-150.
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    Cited by:

    1. Jeroen Hinloopen & Sander Onderstal, 2010. "Collusion and the Choice of Auction: An Experimental Study," Tinbergen Institute Discussion Papers 10-120/1, Tinbergen Institute, revised 28 Mar 2013.
    2. Pavlov Gregory, 2011. "A Property of Solutions to Linear Monopoly Problems," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-18, February.
    3. Pavlov Gregory, 2011. "Optimal Mechanism for Selling Two Goods," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-35, February.
    4. Olga Gorelkina, 2018. "Collusion via Information Sharing and Optimal Auctions," Working Papers 20182, University of Liverpool, Department of Economics.

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