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Auction design with endogenously correlated buyer types

  • Krähmer, Daniel
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    This paper studies optimal auction design when the seller can affect the buyersʼ valuations through an unobservable ex ante investment. The key insight is that the optimal mechanism may have the seller play a mixed investment strategy so as to create correlation between the buyersʼ otherwise (conditionally) independent valuations. Assuming that the seller announces the mechanism before investing, the paper establishes conditions on the investment technology so that a mechanism exists which leaves buyers no information rent and leaves the seller indifferent between his investments. Under these conditions, the seller can, in fact, extract the first best surplus almost fully.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0022053111001670
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    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 147 (2012)
    Issue (Month): 1 ()
    Pages: 118-141

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    Handle: RePEc:eee:jetheo:v:147:y:2012:i:1:p:118-141
    DOI: 10.1016/j.jet.2011.11.015
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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    1. Laffont, Jean-Jacques & Martimort, David, 1998. "Mechanism Design with Collusion and Correlation," IDEI Working Papers 81, Institut d'Économie Industrielle (IDEI), Toulouse.
    2. Bergemann, Dirk & Pesendorfer, Martin, 2001. "Information Structures in Optimal Auctions," CEPR Discussion Papers 2991, C.E.P.R. Discussion Papers.
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    4. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    5. d'ASPREMONT, Claude & CRÉMER, Jacques & GÉRARD-VARET, Louis-André, 2002. "Balanced Bayesian mechanisms," CORE Discussion Papers 2002048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    7. Juan-JosÈ Ganuza & JosÈ S. Penalva, 2010. "Signal Orderings Based on Dispersion and the Supply of Private Information in Auctions," Econometrica, Econometric Society, vol. 78(3), pages 1007-1030, 05.
    8. Ichiro Obara, 2007. "The Full Surplus Extraction Theorem with Hidden Actions," Levine's Bibliography 843644000000000137, UCLA Department of Economics.
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    12. Bose, Subir & Zhao, Jinhua, 2003. "Optimal Use of Correlated Information in Mechanism Design When Full Surplus Extraction May Be Impossible," Staff General Research Papers Archive 10579, Iowa State University, Department of Economics.
    13. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    14. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
    15. Zvika Neeman, 1998. "The Relevance of Private Information in Mechanism Design," Papers 0093, Boston University - Industry Studies Programme.
    16. Barelli, Paulo, 2009. "On the genericity of full surplus extraction in mechanism design," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1320-1332, May.
    17. Hori Kazumi, 2006. "Inefficiency in a Bilateral Trading Problem with Cooperative Investment," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-9, July.
    18. Dominique M. Demougin & Devon a. Garvie, 1991. "Contractual Design with Correlated Information Under Limited Liability," Working Papers 815, Queen's University, Department of Economics.
    19. Parreiras, Sergio O., 2005. "Correlated information, mechanism design and informational rents," Journal of Economic Theory, Elsevier, vol. 123(2), pages 210-217, August.
    20. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
    21. Kim-Sau Chung & J.C. Ely, 2007. "Foundations of Dominant-Strategy Mechanisms," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 447-476.
    22. William P. Rogerson, 1992. "Contractual Solutions to the Hold-Up Problem," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 777-793.
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