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Optimal Collusion-Proof Auctions

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Che, Yeon-Koo
Kim, Jinwoo

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Abstract

We study an optimal collusion-proof auction in an environment where subsets of bidders may collude not just on their bids but also on their participation. Despite their ability to collude on participation, informational asymmetry facing the potential colluders can be exploited significantly to weaken their collusive power. The second-best auction --- i.e., the optimal auction in a collusion-free environment --- can be made collusion-proof, if at least one bidder is not collusive, or there are multiple bidding cartels, or the second-best outcome involves a nontrivial probability of the object not being sold. In case the second-best outcome is not weak collusion-proof implementable, we characterize an optimal collusion-proof auction. This auction involves nontrivial exclusion of collusive bidders --- i.e., the object is not sold to any collusive bidder with positive probability.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6098.

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Date of creation: 06 Sep 2007
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Handle: RePEc:pra:mprapa:6098

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D8 - Microeconomics - - Information, Knowledge, and Uncertainty
D4 - Microeconomics - - Market Structure and Pricing

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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.:
  1. Dequiedt, Vianney, 2007. "Efficient collusion in optimal auctions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 302-323, September. [Downloadable!] (restricted)
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  2. Porter, Robert H & Zona, J Douglas, 1993. "Detection of Bid Rigging in Procurement Auctions," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 518-38, June. [Downloadable!] (restricted)
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  3. Susan Athey & Kyle Bagwell & Chris Sanchirico, 1998. "Collusion and Price Rigidity," Working papers 98-23, Massachusetts Institute of Technology (MIT), Department of Economics.
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  4. 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. [Downloadable!] (restricted)
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  5. Celik, Gorkem, 2004. "Mechanism Design with Collusive Supervision," Micro Theory Working Papers celik-04-09-13-05-42-19, Microeconomics.ca Website, revised 06 Aug 2008. [Downloadable!]
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  6. 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. [Downloadable!] (restricted)
  7. Antoine Faure-Grimaud & Jean-Jacques Laffont & David Martimort, 2003. "Collusion, Delegation and Supervision with Soft Information," Review of Economic Studies, Blackwell Publishing, vol. 70(2), pages 253-279, 04. [Downloadable!] (restricted)
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  8. Yeon-Koo Che & Jinwoo Kim, 2006. "Robustly Collusion-Proof Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1063-1107, 07. [Downloadable!] (restricted)
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  9. Jean-Jacques Laffont & David Martimort, 1998. "Collusion and Delegation," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 280-305, Summer. [Downloadable!] (restricted)
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  10. Crawford, Vincent P, 1985. "Efficient and Durable Decision Rules: A Reformulation," Econometrica, Econometric Society, vol. 53(4), pages 817-35, July. [Downloadable!] (restricted)
  11. Mailath, George J. & Zemsky, Peter, 1991. "Collusion in second price auctions with heterogeneous bidders," Games and Economic Behavior, Elsevier, vol. 3(4), pages 467-486, November. [Downloadable!] (restricted)
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  14. Lucia Quesada, 2003. "Modeling collusion as an informed principal problem," Game Theory and Information 0304002, EconWPA. [Downloadable!]
  15. 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 657-99, August.
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    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  17. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November. [Downloadable!] (restricted)
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  18. Doh-Shin Jeon & Domenico Menicucci, 2005. "Optimal Second-Degree Price Discrimination and Arbitrage: On the Role of Asymmetric Information Among Buyers," RAND Journal of Economics, The RAND Corporation, vol. 36(2), pages 337-360, Summer.
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  19. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
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  20. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March. [Downloadable!] (restricted)
  21. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Antonio Estache & Atsuhi Iimi, 2008. "Procurement Efficiency for Infrastructure Development and Financial Needs Reassessed," ECARES Working Papers 2008_022, Université Libre de Bruxelles, Ecares. [Downloadable!]
    Other versions:
  2. Nicolas Gruyer, 2008. "Optimal Auctions when a seller is bound to sell to collusive bidders (new version of "using lotteries ...")," Economics Working Papers 06, LEEA (air transport economics laboratory), ENAC (french national civil aviation school). [Downloadable!]
  3. Estache, Antonio & Iimi, Atsushi, 2009. "Auctions with endogenous participation and quality thresholds : evidence from ODA infrastructure procurement," Policy Research Working Paper Series 4853, The World Bank. [Downloadable!]
  4. repec:bep:thecon:v:8:y:2008:i:1:p:1363-1363 is not listed on IDEAS
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