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Simple Sequencing Problems with Interdependent Costs

  • Manipushpak Mitra
  • Roland Hain


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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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
Contact details of provider: Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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  1. 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.
  2. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
  3. Jehiel, Phillipe & Moldovanu, Benny, 1998. "Efficient Design with Interdependent Valuations," Sonderforschungsbereich 504 Publications 98-22, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  4. Gresik, Thomas A., 1991. "Ex ante incentive efficient trading mechanisms without the private valuation restriction," Journal of Economic Theory, Elsevier, vol. 55(1), pages 41-63, October.
  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.
  6. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 2003. "Partnerships, lemons, and efficient trade," Journal of Economic Theory, Elsevier, vol. 113(2), pages 223-234, December.
  7. d'ASPREMONT, Claude & GERARD-VARET, Louis-André, . "Incentives and incomplete information," CORE Discussion Papers RP 354, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Tian, Guoqiang, 1996. "On the existence of optimal truth-dominant mechanisms," Economics Letters, Elsevier, vol. 53(1), pages 17-24, October.
  9. Manipushpak Mitra, 2001. "Incomplete Information and Multiple Machine Queueing Problems," Bonn Econ Discussion Papers bgse19_2001, University of Bonn, Germany.
  10. Manipushpak Mitra, 2000. "Achieving the First Best in Sequencing Problems," Bonn Econ Discussion Papers bgse11_2001, University of Bonn, Germany.
  11. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
  12. P. Dasgupta & Eric Maskin, 1998. "Efficient Auctions," Harvard Institute of Economic Research Working Papers 1857, Harvard - Institute of Economic Research.
  13. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  14. Liqun Liu & Guoqiang Tian, 1999. "A characterization of the existenceof optimal dominant strategy mechanisms," Review of Economic Design, Springer, vol. 4(3), pages 205-218.
  15. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
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