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Proportional scheduling, split-proofness, and merge-proofness

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  • Moulin, Hervé

Abstract

If shortest (respectively longest) jobs are served first, splitting a job into smaller jobs (respectively merging several jobs) can reduce the actual wait. Any deterministic protocol is vulnerable to strategic splitting and/or merging. This is not true if scheduling is random, and users care only about expected wait. The Proportional rule draws the job served last with probabilities proportional to size, then repeats among the remaining jobs. It is immune to splitting and merging. Among split-proof protocols constructed in this recursive way, it is characterized by either one of three properties: job sizes and delays are co-monotonic; total delay is at most twice optimal delay; the worst (expected) delay of any job is at most twice the smallest feasible worst delay. A similar result holds within the family of separable rules,

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 63 (2008)
Issue (Month): 2 (July)
Pages: 567-587

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Handle: RePEc:eee:gamebe:v:63:y:2008:i:2:p:567-587

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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  1. Fishburn, Peter C., 1992. "Induced binary probabilities and the linear ordering polytope: a status report," Mathematical Social Sciences, Elsevier, vol. 23(1), pages 67-80, February.
  2. M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer, vol. 4(3), pages 255-272.
  3. Hervé Moulin, 2002. "The proportional random allocation of indivisible units," Social Choice and Welfare, Springer, vol. 19(2), pages 381-413.
  4. Moulin, Herve & Sprumont, Yves, 2005. "On demand responsiveness in additive cost sharing," Journal of Economic Theory, Elsevier, vol. 125(1), pages 1-35, November.
  5. Manipushpak Mitra & Roland Hain, 2001. "Simple Sequencing Problems with Interdependent Costs," Bonn Econ Discussion Papers bgse20_2001, University of Bonn, Germany.
  6. Moulin, Herve & Stong, Richard, 2003. "Filling a multicolor urn: an axiomatic analysis," Games and Economic Behavior, Elsevier, vol. 45(1), pages 242-269, October.
  7. Manipushpak Mitra, 2000. "Achieving the First Best in Sequencing Problems," Bonn Econ Discussion Papers bgse11_2001, University of Bonn, Germany.
  8. Kittsteiner, Thomas & Moldovanu, Benny, 2004. "Priority Auctions and Queue Disciplines that Depend on Processing Time," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 5, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  9. 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.
  10. Moulin, Herve, 1985. "Egalitarianism and Utilitarianism in Quasi-linear Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 49-67, January.
  11. Biung-Ghi Ju & Eiichi Miyagawa & Toyotaka Sakai, 2003. "Non-Manipulable Division Rules in Claim Problems and Generalizations," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200307, University of Kansas, Department of Economics, revised Aug 2005.
  12. Youngsub Chun, 2000. "Agreement, separability, and other axioms for quasi-linear social choice problems," Social Choice and Welfare, Springer, vol. 17(3), pages 507-521.
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Cited by:
  1. Itai Sher, 2012. "Optimal shill bidding in the VCG mechanism," Economic Theory, Springer, vol. 50(2), pages 341-387, June.
  2. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2009. "Progressive and merging-proof taxation," Working Papers 2009-7, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  3. Conan Mukherjee, 2013. "Weak group strategy-proof and queue-efficient mechanisms for the queueing problem with multiple machines," International Journal of Game Theory, Springer, vol. 42(1), pages 131-163, February.

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