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Core-stable rings in auctions with independent private values

  • Forges, Françoise
  • Biran, Omer

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 Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/4100.

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Date of creation: 2011
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Publication status: Published in Games and Economic Behavior, 2011, Vol. 73, no. 1. pp. 52-64.Length: 12 pages
Handle: RePEc:dau:papers:123456789/4100
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  1. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  2. Forges, Françoise & Minelli, Enrico, 2001. "A note on the incentive compatible core," Economics Papers from University Paris Dauphine 123456789/5452, Paris Dauphine University.
  3. Roger Myerson, 2004. "Virtual utility and the core for games with incomplete information," Econometric Society 2004 North American Summer Meetings 659, Econometric Society.
  4. 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.
  5. Riham Barbar & Françoise Forges, 2007. "Collusion dans les enchères. Quelques apports des jeux coopératifs," Revue économique, Presses de Sciences-Po, vol. 58(5), pages 965-984.
  6. 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 125-42, February.
  7. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
  8. FORGES, Françoise & MERTENS, Jean-François & VOHRA, Rajiv, 2001. "The ex ante incentive compatible core in the absence of wealth effects," CORE Discussion Papers 2001001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. 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.
  10. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
  11. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-99, June.
    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  12. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  13. 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.
  14. Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 381-411, July.
  15. Omer Biran, 2010. "Strategic Collusion in Auctions with Externalities," Working Papers hal-00505477, HAL.
  16. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer, vol. 18(1), pages 187-205.
  17. 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.
  18. d'Aspremont, C. & Gerard-Varet, L. -A., 1982. "Bayesian incentive compatible beliefs," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 83-103, June.
  19. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  20. 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.
  21. Rajiv Vohra, 1997. "Incomplete Information, Incentive Compatibility and the Core," Working Papers 97-11, Brown University, Department of Economics.
  22. 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.
  23. Jehiel, Philippe & Benny Moldovanu, 1994. "Strategic Non-Participation," Discussion Paper Serie B 287, University of Bonn, Germany.
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