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Core-stable Rings in Auctions with Independent Private Values

Listed author(s):
  • 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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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2010/wp-cesifo-2010-05/cesifo1_wp3067.pdf
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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
Handle: RePEc:ces:ceswps:_3067
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  1. 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.
  2. repec:dau:papers:123456789/5452 is not listed on IDEAS
  3. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  4. Forges, Francoise & Minelli, Enrico, 2001. "A Note on the Incentive Compatible Core," Journal of Economic Theory, Elsevier, vol. 98(1), pages 179-188, May.
  5. Jehiel, Philippe & Benny Moldovanu, 1994. "Strategic Non-Participation," Discussion Paper Serie B 287, University of Bonn, Germany.
  6. 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).
  7. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
  8. 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.
  9. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, December.
  10. Lebrun, Bernard, 1997. "First Price Auctions in the Asymmetric N Bidder Case," Cahiers de recherche 9715, Université Laval - Département d'économique.
  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. 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.
  13. 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.
  14. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 381-411.
  15. d'Aspremont, C. & Gerard-Varet, L. -A., 1982. "Bayesian incentive compatible beliefs," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 83-103, June.
  16. 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.
  17. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
  18. 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.
  19. 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.
  20. repec:dau:papers:123456789/5454 is not listed on IDEAS
  21. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
  22. repec:dau:papers:123456789/158 is not listed on IDEAS
  23. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  24. 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.
  25. 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.
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