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An algorithm composition scheme preserving monotonicity

Published:12 August 2007Publication History

ABSTRACT

Let G=(V,E) be a graph modeling a network where each edge is owned by a selfish agent, which establishes the cost for using her edge by pursuing only her personal utility. In such a setting, several classic network optimization problems, like for instance many graph traversal problems, asks for solutions in which an edge of G can be used several times. In game-theoretic terms, these problems are known as one-parameter problems, but with a peculiarity: the workload of each agent is a natural number. In this paper we refine the classic notion of monotonicity of an algorithm so as to exactly capture this property, and we then provide a general technique to efficiently develop truthful mechanisms for this family of problems.

References

  1. A. Archer and E. Tardos. Truthful mechanisms for one-parameter agents. In Proc. of the 42nd Annual IEEE Symp. on Foundations of Computer Science (FOCS), pages 482--491, 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. M.-Y. Kao, X.-Y. Li, and W. Wang. Towards truthful mechanisms for binary demand games: A general framework. In Proc. of the 6th ACM Conf. on Electronic Commerce (EC), 2005. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. N. Nisan and A. Ronen. Algorithmic mechanism design. Games and Economic Behaviour, 35:166--196, 2001.Google ScholarGoogle ScholarCross RefCross Ref

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  1. An algorithm composition scheme preserving monotonicity

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        cover image ACM Conferences
        PODC '07: Proceedings of the twenty-sixth annual ACM symposium on Principles of distributed computing
        August 2007
        424 pages
        ISBN:9781595936165
        DOI:10.1145/1281100

        Copyright © 2007 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 12 August 2007

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