skip to main content
10.1145/1007912.1007940acmconferencesArticle/Chapter ViewAbstractPublication PagesspaaConference Proceedingsconference-collections
Article

Sharing the cost of multicast transmissions in wireless networks

Published:27 June 2004Publication History

ABSTRACT

In this paper we consider the problem of sharing the costs of multicast transmissions in ad hoc wireless networks. Assuming that the receiving users are selfish, we provide strategy- proof mechanisms that are either optimally budget balanced or efficient for the case in which the distance-power gradient α =1 or the stations belong to a ne-dimensional Euclidean space.Then, by extending to multicasting previous results on wireless broadcasting,we show the existence of efficiently computable 2(3 d.1)-approximate budget balance mechanisms in any d -dimensional space for every α ≥ d.

References

  1. G. Calinescu, I. Mandoiu, and A. Zelikovsky. Symmetric connectivity with minimum power consumption in radio networls. In Proceedings of the 2nd IFIP International Conference on Theoretical Computer Science, pages 119--130, 2002.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. I. Caragiannis, E. Kaklamanis,and P. Kanellopoulos. A logarithmic approximation algorithm for the minimum energy consumption broadcast subgraphproblem. Information Processing Letters, 86:149--154, 2003.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. E. Clarke. Multipart pricing of public goods. Public Choice, 8:17--33, 1973.]]Google ScholarGoogle Scholar
  4. A.E.F. Clementi, P. Crescenzi, P. Penna, G. Rossi, and P. Vocca. On the complexity of computing minimum energy consumption broadcast subgraph. In Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science (STACS), volume 2010 of Lecture Notes in Computer Science, pages 121--131.Springer-Verlag, 2001.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. A.E.F. Clementi, H. Huiban, P. Penna, G. Rossi, and P. Vocca. Some recent theoretical advances and open questions on energy consumption in static ad-hoc wireless networks. In Proceedings of the 3rd International Workshop on Approximation and Randomization (ARACNE), pages 23--38, 2002.]]Google ScholarGoogle Scholar
  6. A.E.F. Clementi, P. Penna, and R. Silvestri. Harness results for the power range assignment problem in packet radio networks. In Proceedings of Randomization, Approximation and Combinatorial Optimization (RANDOM/APPROX), volume 1671 of Lecture Notes in Computer Science, pages 197--208. Springer-Verlag, 1999.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. J. Edmonds. Optimal branchings. Journal of Research of the National Bureau of Standards, B71:233--240, 1967.]]Google ScholarGoogle ScholarCross RefCross Ref
  8. J. Feigenbaum, A. Krishnamurthy, R. Sami, and S. Shenker. Approximation and collusion in multicast cost sharing. In Proceedings of the 4th ACM Conference on Electronic Commerce (EC. ACM, 2003.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. J. Feigenbaum, A. Krishnamurthy, R. Sami, and S. Shenker. Hardness results for multicast cost sharing. Journal of Public Economics, 304(1-3):215--236, 2003.]]Google ScholarGoogle Scholar
  10. J. Feigenbaum, C. Papadimitriou, and S. Shenker. Sharing the cost of multicast transmissions. In Proceedings of 32nd ACM Symposium on Theory of Computing (STOC), pages 218--227. ACM, 2000.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. M. Flammini, R. Klasing, A. Navarra, and S. Perennes. Improved approximation results for the minimum energy broadcasting problem in wireless networks, manuscript, 2003.]]Google ScholarGoogle Scholar
  12. J. Green, E. Kohlberg, and J.J. Laffont. Partial equilibrium approach to the free rider problem. Journal of Public Economics, 6:375--394, 1976.]]Google ScholarGoogle ScholarCross RefCross Ref
  13. J. Green and J.J. Laffont. Characterization of satisfactory mechanisms for the revelation of preferences for public goods. Econometrica, 45(2):727--738, 1977.]]Google ScholarGoogle ScholarCross RefCross Ref
  14. T. Groves. Incentives in teams. Econometrica, 41(4):617--631, 1973.]]Google ScholarGoogle ScholarCross RefCross Ref
  15. K. Jain and V.V. Vazirani. Applications of approximation algorithms to coperative games. In Proceedings of 33rd ACM Symposium on Theory of Computing (STOC), pages 364--372. ACM, 2001.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. K. Kent and D. Shorin-Kapov. Population monotonic cost allocation on MST's. Operational Research Proceedings KOI, pages 43--48, 1996.]]Google ScholarGoogle Scholar
  17. L.M. Kirousis, E. Kranakis, D. Krizanc, and A. Pelc. Power consumption in packet radio networks. Theoretical Computer Science, 243(1-2):289--305, 2000.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. L. Kou, G. Markowsky, and L. Berman. A fast algorithm for Steiner trees. Acta Informatica, 15:141--145, 1981.]]Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Megiddo. Cost allocation for Steiner trees. Networks, 8(1--6), 1978.]]Google ScholarGoogle Scholar
  20. H. Moulin and S. Shenker.Incremental cost sharing: characterization by coalition strategy-proofness. Social Choice and Welfare, 16:279--320, 1999.]]Google ScholarGoogle ScholarCross RefCross Ref
  21. H. Moulin and S. Shenker. Strategyproof sharing of submodular costs: budget balance versus efficiency. Economic Theory, 18(3):511--533, 2001.]]Google ScholarGoogle ScholarCross RefCross Ref
  22. T.S. Rappaport. Wireless communications: principles and practice. Prentice-Hall, Englewood Cliffs, NY, 1996.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. K. Roberts. The characterization of implementable choice rules. Aggregation and Revealation of preferences, pages 321--348, North-Holland, 1979.]]Google ScholarGoogle Scholar
  24. L.S. Shapley. The value of n-person games. Contributions to the theory of games, pages 31--40, Princeton University Press, 1953.]]Google ScholarGoogle Scholar
  25. W. Vickrey. Counterspeculation, auctions and competitive sealed tenders. Journal of Finance, 16:8--37, 1961.]]Google ScholarGoogle ScholarCross RefCross Ref
  26. P.J. Wan, G. Calinescu, X. Li,and O. Frieder. Minimum energy broadcast routing in static ad hoc wireless networks. Wireless Networks, 8(6):607--617, 2002.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. J.E. Wieselthier, G.D. Nguyen, and A. Ephremides. On the construction of energy-efficient broadcast and multicast trees in wireless networks. In Proceedings of the 19th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), pages 585--594. IEEE Computer Society, 2000.]]Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Sharing the cost of multicast transmissions in wireless networks

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Conferences
        SPAA '04: Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures
        June 2004
        332 pages
        ISBN:1581138407
        DOI:10.1145/1007912

        Copyright © 2004 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 27 June 2004

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • Article

        Acceptance Rates

        Overall Acceptance Rate447of1,461submissions,31%

        Upcoming Conference

        SPAA '24

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader