Games of Connectivity

  • Pradeep Dubey
  • Rahul Garg
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4286)

Abstract

We consider a communications network in which users transmit beneficial information to each other at a cost. We pinpoint conditions under which the induced cooperative game is supermodular (convex). Our analysis is in a lattice-theoretic framework, which is at once simple and able to encompass a wide variety of seemingly disparate models.

JEL Classification: C71, D82, L96.

Keywords

information lattice multicast/unicast transmission cooperative games Shapley value convex/supermodular games 

References

  1. 1.
    Anshelevich, E., Dasgupta, A., Kleinberg, J.M., Tardos, É., Wexler, T., Roughgarden, T.: The price of stability for network design with fair cost allocation. In: Symposium on Foundations of Computer Science (FOCS 2004) (October 2004)Google Scholar
  2. 2.
    Anshelevich, E., Dasgupta, A., Tardos, É., Wexler, T.: Near-optimal network design with selfish agents. In: ACM Symposium on Theory of Computing (STOC 2003), pp. 511–520 (June 2003)Google Scholar
  3. 3.
    Birkhoff, G.: Lattice theory. In: Encyclopaedia Brittanica, Macropaedia, vol. 1, pp. 519–524. Encyclopaedia Brittanica Inc., Helen Hemingway Benton, London (1977)Google Scholar
  4. 4.
    Dubey, P., Garg, R.: Games of connectivity. Technical Report RI04006, IBM Research Report (July 2004)Google Scholar
  5. 5.
    Feigenbaum, J., Papadimitriou, C., Shenker, S.: Sharing the cost of multicast transmissions. In: ACM Symposium on Theory of Computing (STOC 2000), Portland, Oregon, USA (May 2004)Google Scholar
  6. 6.
    Shapley, L.: A value for n-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games. Annals of Mathematics Studies, vol. 2(28) (1953)Google Scholar
  7. 7.
    Shapley, L.: Cores of convex games. International Journal of Game Theory 1, 11–26 (1971)MATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    Wang, Y., Zhu, Q.: Error control and concealment for video communications: A review. Proceedings of IEEE, special issue on Multimedia Signal Processing, 974–997 (May 1998)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Pradeep Dubey
    • 1
    • 2
  • Rahul Garg
    • 3
  1. 1.Center for Game Theory in EconomicsStony Brook UniversityUSA
  2. 2.Cowles FoundationYale UniversityUSA
  3. 3.IBM India Research LabNew DelhiIndia

Personalised recommendations