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Optimal Auction Design and Irrelevance of Private Information

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Author Info
Thomas Tröger ()
Tymofiy Mylovanov

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Abstract

We consider the problem of mechanism design by a principal who has private information. We point out a simple condition under which the privacy of the principal's information is irrelevant in the sense that the mechanism implemented by the principal coincides with the mechanism that would be optimal if the principal's information were publicly known. This condition is then used to show that the privacy of the principal's information is irrelevant in many environments with private values and quasi-linear preferences, including the Myerson's classical auction environments in which the seller is privately informed about her cost of selling. Our approach unifies results by Maskin and Tirole, Tan, Yilankaya, Skreta, and Balestrieri. We also provide an example of a classical principal-agent environment with private values and quasi-linear preferences where a privately informed principal can do better than when her information is public.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse21_2008.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse21_2008.

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Length: 28
Date of creation: Dec 2008
Date of revision:
Handle: RePEc:bon:bonedp:bgse21_2008

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Related research
Keywords: independent private values; optimal auction; resale; inverse virtual valuation function;

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Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

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References listed on IDEAS
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  1. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March. [Downloadable!]
  2. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December. [Downloadable!] (restricted)
  3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January. [Downloadable!] (restricted)
    Other versions:
  4. Garratt, Rod & Troger, Thomas & Zheng, Charles Zhoucheng, 2007. "Collusion via Resale," Staff General Research Papers 12829, Iowa State University, Department of Economics. [Downloadable!]
    Other versions:
  5. Yeon-Koo Che & Jinwoo Kim, 2006. "Robustly Collusion-Proof Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1063-1107, 07. [Downloadable!] (restricted)
    Other versions:
  6. Dilip Mookherjee & Masatoshi Tsumagari, 2004. "The Organization of Supplier Networks: Effects of Delegation and Intermediation," Econometrica, Econometric Society, vol. 72(4), pages 1179-1219, 07. [Downloadable!] (restricted)
  7. Beaudry, Paul, 1994. "Why an Informed Principal May Leave Rents to an Agent," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 821-32, November. [Downloadable!] (restricted)
  8. Jost, Peter-Jurgen, 1996. "On the Role of Commitment in a Principal-Agent Relationship with an Informed Principal," Journal of Economic Theory, Elsevier, vol. 68(2), pages 510-530, February. [Downloadable!] (restricted)
  9. Eric W. Bond & Thomas A. Gresik, 1997. "Competition between asymmetrically informed principals," Economic Theory, Springer, vol. 10(2), pages 227-240. [Downloadable!] (restricted)
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  10. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April. [Downloadable!] (restricted)
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  11. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January. [Downloadable!] (restricted)
  12. Mezzetti, Claudio & Tsoulouhas, Theofanis, 2000. "Gathering information before signing a contract with a privately informed principal," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 667-689, May. [Downloadable!] (restricted)
  13. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
    Other versions:
  14. Philip J Reny, 2005. "On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games," Levine's Working Paper Archive 784828000000000413, David K. Levine. [Downloadable!]
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  15. de Clippel, Geoffroy & Minelli, Enrico, 2004. "Two-person bargaining with verifiable information," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 799-813, November. [Downloadable!] (restricted)
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  16. Chade, Hector & Silvers, Randy, 2002. "Informed principal, moral hazard, and the value of a more informative technology," Economics Letters, Elsevier, vol. 74(3), pages 291-300, February. [Downloadable!] (restricted)
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  17. Fleckinger, Pierre, 2007. "Informed principal and countervailing incentives," Economics Letters, Elsevier, vol. 94(2), pages 240-244, February. [Downloadable!] (restricted)
  18. Guofu Tan, 1996. "Optimal Procurement Mechanisms for an Informed Buyer," Canadian Journal of Economics, Canadian Economics Association, vol. 29(3), pages 699-716, August. [Downloadable!] (restricted)
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