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Core-stable Rings in Auctions with Independent Private Values

  • Omer Biran
  • Francoise Forges

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 CESifo Group Munich in its series CESifo Working Paper Series with number 3067.

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Date of creation: 2010
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Handle: RePEc:ces:ceswps:_3067
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  1. d'ASPREMONT , C. & GERARD VARET, L.-A., . "Bayesian incentive compatible beliefs," CORE Discussion Papers RP -481, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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.
  3. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer, vol. 18(1), pages 187-205.
  4. Jehiel, Philippe & Benny Moldovanu, 1994. "Strategic Non-Participation," Discussion Paper Serie B 287, University of Bonn, Germany.
  5. F. Forges & E. Minelli, 1999. "A note on the incentive compatible core," THEMA Working Papers 99-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  6. 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.
  7. Rajiv Vohra, 1997. "Incomplete Information, Incentive Compatibility and the Core," Working Papers 97-11, Brown University, Department of Economics.
  8. Forges, Françoise & Barbar, Riham, 2007. "Collusion dans les enchères : quelques apports des jeux coopératifs," Economics Papers from University Paris Dauphine 123456789/158, Paris Dauphine University.
  9. 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.
  10. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  11. Francoise Forges & Enrico Minelli & Rajiv Vohra, 2000. "Incentives and the Core of an Exchange Economy: A Survey," Working Papers 2000-22, Brown University, Department of Economics.
  12. 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.
  13. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  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. 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).
  16. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
  17. 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.
  18. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, March.
  19. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
  20. Omer Biran, 2010. "Strategic Collusion in Auctions with Externalities," Working Papers hal-00505477, HAL.
  21. 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.
  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. Roger Myerson, 2004. "Virtual utility and the core for games with incomplete information," Econometric Society 2004 North American Summer Meetings 659, Econometric Society.
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