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Core-stable rings in auctions with independent private values

Listed author(s):
  • Omer Biran

    ()

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Centre National de la Recherche Scientifique - Université Paris-Dauphine)

  • Francoise Forges

    ()

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS - Centre National de la Recherche Scientifique - Université Paris-Dauphine)

We propose a semi-cooperative game theoretic approach to check whether a given coalition is stable in a Bayesian game with independent private values. The ex ante expected utilities of coalitions, at an incentive compatible (noncooperative) coalitional equilibrium, describe a (cooperative) partition form game. A coalition is core-stable if the core of a suitable characteristic function, derived from the partition form game, is not empty. As an application, we study collusion in auctions in which the bidders' final utility possibly depends on the winner's identity. We show that such direct externalities offer a possible explanation for cartels' structures (not) observed in practice.

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Paper provided by HAL in its series Post-Print with number hal-00632260.

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Length:
Date of creation: 2011
Publication status: Published in Games and Economic Behavior, Elsevier, 2011, 73, pp.52-64
Handle: RePEc:hal:journl:hal-00632260
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00632260
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  1. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
  2. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring.
  3. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
  4. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 187-205.
  5. Francoise Forges & Riham Barbar, 2007. "Collusion dans les enchères: quelques apports de jeux coopératifs," Post-Print hal-00360742, HAL.
  6. Robert H. Porter & J. Douglas Zona, 1992. "Detection of Bid Rigging in Procurement Auctions," NBER Working Papers 4013, National Bureau of Economic Research, Inc.
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  8. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 381-411.
  9. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  10. Forges, Francoise & Minelli, Enrico, 2001. "A Note on the Incentive Compatible Core," Journal of Economic Theory, Elsevier, vol. 98(1), pages 179-188, May.
  11. Roger Myerson, 2004. "Virtual utility and the core for games with incomplete information," Econometric Society 2004 North American Summer Meetings 659, Econometric Society.
  12. d'ASPREMONT , C. & GERARD VARET, L.-A., "undated". "Bayesian incentive compatible beliefs," CORE Discussion Papers RP 481, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Waehrer, Keith, 1999. "Asymmetric private values auctions with application to joint bidding and mergers," International Journal of Industrial Organization, Elsevier, vol. 17(3), pages 437-452, April.
  14. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
  15. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2001. "The Ex Ante Incentive Compatible Core in the absence of wealth effects," Working Papers 2001-01, Brown University, Department of Economics.
  16. 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 125-142, February.
  17. 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.
  18. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  19. 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.
  20. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
  21. repec:dau:papers:123456789/5452 is not listed on IDEAS
  22. 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.
  23. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  24. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  25. repec:dau:papers:123456789/5454 is not listed on IDEAS
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