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On Scheduling Fees to Prevent Merging, Splitting and Transferring of Jobs

  • Moulin, Herve

    (Rice U)

A deterministic server is shared by users with identical linear waiting costs, requesting jobs of arbitrary lengths. Shortest jobs are served first for efficiency. The server can monitor the length of a job, but not the identity of its user, thus merging, splitting or partially transferring jobs offer cooperative strategic opportunities. Can we design cash transfers to neutralize such manipulations? We prove that merge-proofness and split-proofness are not compatible, and that it is similarly impossible to prevent all transfers of jobs involving three agents or more. On the other hand, robustness against pair-wise transfers is feasible, and essentially characterize a one-dimensional set of scheduling methods. This line is borne by two outstanding methods, the merge-proof S+ and the split-proof S?. Splitproofness, unlike Mergeproofness, is not compatible with several simple tests of equity. Thus the two properties are far from equally demanding.

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File URL: http://www.ruf.rice.edu/~econ/papers/2004papers/schedfees4.pdf
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Paper provided by Rice University, Department of Economics in its series Working Papers with number 2004-04.

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Date of creation: May 2004
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Handle: RePEc:ecl:riceco:2004-04
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  1. Manipushpak Mitra, 2001. "Mechanism design in queueing problems," Economic Theory, Springer, vol. 17(2), pages 277-305.
  2. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
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  4. Moulin, Herve, 1985. "Egalitarianism and Utilitarianism in Quasi-linear Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 49-67, January.
  5. Biung-Ghi Ju, 2003. "Manipulation via merging and splitting in claims problems," Review of Economic Design, Springer, vol. 8(2), pages 205-215, October.
  6. Friedman, Eric & Moulin, Herve, 1999. "Three Methods to Share Joint Costs or Surplus," Journal of Economic Theory, Elsevier, vol. 87(2), pages 275-312, August.
  7. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  8. Flip Klijn & Estela Sánchez, 2006. "Sequencing games without initial order," Mathematical Methods of Operations Research, Springer, vol. 63(1), pages 53-62, February.
  9. Hamers, H.J.M. & Suijs, J.P.M. & Tijs, S.H. & Borm, P.E.M., 1996. "The split core of sequencing games," Other publications TiSEM 28693e2d-82da-456a-909b-3, Tilburg University, School of Economics and Management.
  10. M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer, vol. 4(3), pages 255-272.
  11. Manipushpak Mitra, 2002. "Achieving the first best in sequencing problems," Review of Economic Design, Springer, vol. 7(1), pages 75-91.
  12. Hain, Roland & Mitra, Manipushpak, 2004. "Simple sequencing problems with interdependent costs," Games and Economic Behavior, Elsevier, vol. 48(2), pages 271-291, August.
  13. Hamers, Herbert & Suijs, Jeroen & Tijs, Stef & Borm, Peter, 1996. "The Split Core for Sequencing Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 165-176, August.
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