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Simple Sequencing Problems with Interdependent Costs

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Author Info
Manipushpak Mitra
Roland Hain ()

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Abstract

In this paper we analyze sequencing situations under incomplete information where agents have interdependent costs. We first argue why Vickrey-Clarke-Groves (or VCG) mechanism fails to implement a simple sequencing problem in dominant strategies. Given this impossibility, we try to implement simple sequencing problems in ex-post equilibrium. We show that a simple sequencing problem is implementable if and only if the mechanism is a `generalized VCG mechanism'. We then show that for implementable n agent simple sequencing problems, with polynomial cost function of order (n-2) or less, one can achieve first best implementability. Moreover, for the class of simple sequencing problems with ``sufficiently well behaved'' cost function, this is the only class of first best implementable simple sequencing problems.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse20_2001.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse20_2001.

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Length: 30
Date of creation: Jul 2001
Date of revision:
Handle: RePEc:bon:bonedp:bgse20_2001

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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: Simple Sequencing Problems; Ex-post Equilibrium; First Best Implementability;

Other versions of this item:

Find related papers by JEL classification:
C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Statistical Decision Theory; Operations Research
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Manipushpak Mitra, 2002. "Achieving the first best in sequencing problems," Review of Economic Design, Springer, vol. 7(1), pages 75-91. [Downloadable!] (restricted)
    Other versions:
  2. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May. [Downloadable!] (restricted)
    Other versions:
  3. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  4. Dirk Bergemann & Juuso Vaimaki, 2000. "Information Acquisition and Efficient Mechanism Design," Cowles Foundation Discussion Papers 1248, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  5. Hurwicz, Leonid & Walker, Mark, 1990. "On the Generic Nonoptimality of Dominant-Strategy Allocation Mechanisms: A General Theorem That Includes Pure Exchange Economies," Econometrica, Econometric Society, vol. 58(3), pages 683-704, May. [Downloadable!] (restricted)
  6. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer, vol. 2(1), pages 193-209, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Kazuhiko Hashimoto & Hiroki Saitoh, 2008. "Strategy-Proof and Anonymous Rule in Queueing Problems: A Relationship between Equity and Efficiency," Discussion Papers in Economics and Business 08-17, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP). [Downloadable!]
  2. Moulin, Herve, 2005. "Split-Proof Probabilistic Scheduling," Working Papers 2004-06, Rice University, Department of Economics. [Downloadable!]
  3. Moulin, Herve, 2004. "On Scheduling Fees to Prevent Merging, Splitting and Transferring of Jobs," Working Papers 2004-04, Rice University, Department of Economics. [Downloadable!]
  4. Alex Gershkov & Paul Schweinzer, 2006. "When Queuening is Better than Push and Shove," Bonn Econ Discussion Papers bgse10_2006, University of Bonn, Germany. [Downloadable!]
    Other versions:
    • Alex Gershkov & Paul Schweinzer, 2006. "When queueing is better than push and shove," Discussion Papers 144, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
  5. Thomas Kittsteiner & Benny Moldovanu, 2004. "Priority Auctions and Queue Disciplines that Depend on Processing Time," Discussion Papers 5, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
  6. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics. [Downloadable!]
    Other versions:
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