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Comparing Competition and Collusion in Procurement Auctions: A Numerical Approach

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  • Patrick Bajari

Abstract

January 2000, Revised January 2001 Collusion is a serious problem in many procurement auctions. In this research, I study a model of first price sealed bid procurement auctions with asymmetric bidders. I demonstrate that the equilibrium to the model is unique and describe three algorithms that can be used to compute the inverse equilibrium bid functions. I then use the computational algorithms to compare competitive and collusive bidding. The algorithms are useful for structural estimation of auction models and for assessing the damages from bid-rigging.

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  • Patrick Bajari, "undated". "Comparing Competition and Collusion in Procurement Auctions: A Numerical Approach," Working Papers 00003, Stanford University, Department of Economics.
  • Handle: RePEc:wop:stanec:00003
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    File URL: http://www-econ.stanford.edu/faculty/workp/swp00003.pdf
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    References listed on IDEAS

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    1. 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.
    2. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    3. 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 518-538, June.
    4. Lebrun, Bernard, 1996. "Existence of an Equilibrium in First Price Auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 421-443, April.
    5. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    6. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 381-411.
    7. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    8. Armantier, O. & Florens, J.-P. & Richard, J.-F., 1998. "Empirical Game Theoretic Models: Constrained Equilibrium & Simulation," Papers 98.498, Toulouse - GREMAQ.
    9. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    10. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    11. Alessandro Lizzeri & Nicola Persico, 1995. "Existence and Uniqueness of Equilibrium In First Place Auctions and War of Attrition with Affiliated Values," Discussion Papers 1120, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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