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Core-stable rings in second price auctions with common values

  • Orzach, Ram
  • Forges, Françoise

In a commonvalueauction in which the information partitions of the bidders are connected, all rings are core-stable. More precisely, the ex ante expected utilities of rings, at the (noncooperative) sophisticated equilibrium proposed by Einy et al. [Einy, E., Haimanko, O., Orzach, R., Sela, A., 2002. Dominance solvability of second-pricesauctions with differential information. Journal of Mathematical Economics 37, 247–258], describe a cooperative games in characteristic function form, in spite of the underlying strategic externalities. A ring is core-stable if the core of this characteristic function is not empty. Furthermore, every ring can implement its sophisticated equilibrium strategy by means of an incentive compatible mechanism. An example shows that, if the bidders’ information partitions are not connected, rings may no longer be core-stable.

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Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/7891.

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Date of creation: 2011
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Publication status: Published in Journal of Mathematical Economics, 2011, Vol. 47, no. 6. pp. 760-767.Length: 7 pages
Handle: RePEc:dau:papers:123456789/7891
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  1. Forges, Françoise & Minelli, Enrico, 2001. "A note on the incentive compatible core," Economics Papers from University Paris Dauphine 123456789/5452, Paris Dauphine University.
  2. Omer Biran & Francoise Forges, 2010. "Core-stable Rings in Auctions with Independent Private Values," CESifo Working Paper Series 3067, CESifo Group Munich.
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  4. Forges, Françoise & Mertens, Jean-François & Vohra, Rajiv, 2002. "The ex ante incentive compatible core in the absence of wealth effects," Economics Papers from University Paris Dauphine 123456789/5454, Paris Dauphine University.
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  9. Paul Klemperer, 2004. "Auctions: Theory and Practice," Economics Papers 2004-W09, Economics Group, Nuffield College, University of Oxford.
  10. Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2002. "Dominance solvability of second-price auctions with differential information," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 247-258, May.
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  25. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
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  27. d'Aspremont, C. & Gerard-Varet, L. -A., 1982. "Bayesian incentive compatible beliefs," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 83-103, June.
  28. 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.
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