Nothing Special   »   [go: up one dir, main page]

skip to main content
10.5555/1283383.1283508acmconferencesArticle/Chapter ViewAbstractPublication PagessodaConference Proceedingsconference-collections
Article

A lower bound for scheduling mechanisms

Published: 07 January 2007 Publication History

Abstract

We study the mechanism design problem of scheduling tasks on n unrelated machines in which the machines are the players of the mechanism. The problem was proposed and studied in the seminal paper of Nisan and Ronen, where it was shown that the approximation ratio of mechanisms is between 2 and n. We improve the lower bound to 1 + √2 for 3 or more machines.

References

[1]
Nir Andelman, Yossi Azar, and Motti Sorani. Truthful approximation mechanisms for scheduling selfish related machines. In 22nd Annual Symposium on Theoretical Aspects of Computer Science (STACS), pages 69--82, 2005.
[2]
Aaron Archer. Mechanisms for Discrete Optimization with Rational Agents. PhD thesis, Cornell University, January 2004.
[3]
Aaron Archer, Christos H. Papadimitriou, Kunal Talwar, and Éva Tardos. An approximate truthful mechanism for combinatorial auctions with single parameter agents. In Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 205--214, 2003.
[4]
Aaron Archer and Éva Tardos. Truthful mechanisms for one-parameter agents. In 42nd Annual Symposium on Foundations of Computer Science (FOCS), pages 482--491, 2001.
[5]
Moshe Babaioff, Ron Lavi, and Elan Pavlov. Mechanism design for single-value domains. In Proceedings, The Twentieth National Conference on Artificial Intelligence and the Seven-teenth Innovative Applications of Artificial Intelligence Conference (AAAI), pages 241--247, 2005.
[6]
Yair Bartal, Rica Gonen, and Noam Nisan. Incentive compatible multi unit combinatorial auctions. In Proceedings of the 9th Conference on Theoretical Aspects of Rationality and Knowledge (TARK), pages 72--87, 2003.
[7]
Patrick Briest, Piotr Krysta, and Berthold Vöcking. Approximation techniques for utilitarian mechanism design. In Proceedings of the 37th Annual ACM Symposium on Theory of Computing (STOC), pages 39--48, 2005.
[8]
Shahar Dobzinski, Noam Nisan, and Michael Schapira. Approximation algorithms for combinatorial auctions with complement-free bidders. In Proceedings of the 37th Annual ACM Symposium on Theory of Computing (STOC), pages 610--618, 2005.
[9]
Shahar Dobzinski, Noam Nisan, and Michael Schapira. Truthful randomized mechanisms for combinatorial auctions. In Proceedings of the 38th Annual ACM Symposium on Theory of Computing (STOC), pages 644--652, 2006.
[10]
Hongwei Gui, Rudolf Müller, and Rakesh V. Vohra. Dominant strategy mechanisms with multidimensional types. In Computing and Markets, 2005.
[11]
D. S. Hochbaum. Approximation algorithms for NP-hard problems. PWS Publishing Co. Boston, MA, USA, 1996.
[12]
Roberts Kevin. The characterization of implementable choice rules. Aggregation and Revelation of Preferences, pages 321--348, 1979.
[13]
Annamaria Kovacs. Fast monotone 3-approximation algorithm for scheduling related machines. In Algorithms - ESA 2005: 13th Annual European Symposium, pages 616--627, 2005.
[14]
Ron Lavi, Ahuva Mu'alem, and Noam Nisan. Towards a characterization of truthful combinatorial auctions. In 44th Symposium on Foundations of Computer Science (FOCS), pages 574--583, 2003.
[15]
J. K. Lenstra, D. B. Shmoys, and É. Tardos. Approximation algorithms for scheduling unrelated parallel machines. Mathematical Programming, 46(1):259--271, 1990.
[16]
Noam Nisan and Amir Ronen. Algorithmic mechanism design (extended abstract). In Proceedings of the Thirty-First Annual ACM Symposium on Theory of Computing (STOC), pages 129--140, 1999.
[17]
Noam Nisan and Amir Ronen. Algorithmic mechanism design. Games and Economic Behavior, 35:166--196, 2001.
[18]
Michael E. Saks and Lan Yu. Weak monotonicity suffices for truthfulness on convex domains. In Proceedings 6th ACM Conference on Electronic Commerce (EC), pages 286--293, 2005.

Cited By

View all
  • (2018)Mechanism design for machine scheduling problemsOR Spectrum10.1007/s00291-018-0512-840:3(583-611)Online publication date: 1-Jul-2018
  • (2015)A characterization of n-player strongly monotone scheduling mechanismsProceedings of the 24th International Conference on Artificial Intelligence10.5555/2832249.2832328(568-574)Online publication date: 25-Jul-2015
  • (2015)Bayesian truthful mechanisms for job scheduling from bi-criterion approximation algorithmsProceedings of the twenty-sixth annual ACM-SIAM symposium on Discrete algorithms10.5555/2722129.2722259(1934-1952)Online publication date: 4-Jan-2015
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences
SODA '07: Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
January 2007
1322 pages
ISBN:9780898716245
  • Conference Chair:
  • Harold Gabow

Sponsors

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 07 January 2007

Check for updates

Qualifiers

  • Article

Acceptance Rates

SODA '07 Paper Acceptance Rate 139 of 382 submissions, 36%;
Overall Acceptance Rate 411 of 1,322 submissions, 31%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)1
  • Downloads (Last 6 weeks)0
Reflects downloads up to 04 Oct 2024

Other Metrics

Citations

Cited By

View all
  • (2018)Mechanism design for machine scheduling problemsOR Spectrum10.1007/s00291-018-0512-840:3(583-611)Online publication date: 1-Jul-2018
  • (2015)A characterization of n-player strongly monotone scheduling mechanismsProceedings of the 24th International Conference on Artificial Intelligence10.5555/2832249.2832328(568-574)Online publication date: 25-Jul-2015
  • (2015)Bayesian truthful mechanisms for job scheduling from bi-criterion approximation algorithmsProceedings of the twenty-sixth annual ACM-SIAM symposium on Discrete algorithms10.5555/2722129.2722259(1934-1952)Online publication date: 4-Jan-2015
  • (2013)Approximate Mechanism Design without MoneyACM Transactions on Economics and Computation10.1145/2542174.25421751:4(1-26)Online publication date: 1-Dec-2013
  • (2013)Prior-independent mechanisms for schedulingProceedings of the forty-fifth annual ACM symposium on Theory of Computing10.1145/2488608.2488616(51-60)Online publication date: 1-Jun-2013
  • (2012)Collusion-Resistant Mechanisms with Verification Yielding Optimal SolutionsACM Transactions on Computation Theory10.1145/2189778.21897814:2(1-17)Online publication date: 1-May-2012
  • (2011)On the approximability of budget feasible mechanismsProceedings of the twenty-second annual ACM-SIAM symposium on Discrete algorithms10.5555/2133036.2133090(685-699)Online publication date: 23-Jan-2011
  • (2011)Multi-unit auctionsProceedings of the 12th ACM conference on Electronic commerce10.1145/1993574.1993611(233-242)Online publication date: 5-Jun-2011
  • (2010)Asymptotically optimal strategy-proof mechanisms for two-facility gamesProceedings of the 11th ACM conference on Electronic commerce10.1145/1807342.1807393(315-324)Online publication date: 7-Jun-2010
  • (2010)Mechanism design for fractional scheduling on unrelated machinesACM Transactions on Algorithms10.1145/1721837.17218546:2(1-18)Online publication date: 6-Apr-2010
  • Show More Cited By

View Options

Get Access

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media