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Directed Communication Networks

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  • Slikker, M.
  • Gilles, R.P.
  • Norde, H.W.
  • Tijs, S.H.

    (Tilburg University, Center for Economic Research)

Abstract

In this paper we model the formation of directed communication networks.A directed communication network is represented by a directed graph.Firstly, we study an allocation rule satisfying two appealing properties, component efficiency and directed fairness.We show that such an allocation rule exists if and only if we restrict ourselves to a class of directed graphs that naturally comes to the fore in the setting of hierarchical structures.Subsequently, we discuss several possibilities to model the formation of directed communication networks and provide some preliminary results.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2000-84.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200084

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  1. Slikker, Marco & Dutta, Bhaskar & van den Nouweland, Anne & Tijs, Stef, 2000. "Potential maximizers and network formation," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 55-70, January.
  2. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
  3. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154855, Tilburg University.
  4. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer, vol. 20(3), pages 277-93.
  5. Slikker, M., 2000. "Decision Making and Cooperation Restrictions," Open Access publications from Tilburg University urn:nbn:nl:ui:12-82556, Tilburg University.
  6. Dutta, B. & Nouweland, C.G.A.M. van den & Tijs, S.H., 2003. "Link formation in cooperative situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-121826, Tilburg University.
  7. Gilles, R.P. & Owen, G., 1999. "Cooperative Games and Disjunctive Permission Structures," Discussion Paper 1999-20, Tilburg University, Center for Economic Research.
  8. Feinberg, Yossi, 1998. "An Incomplete Cooperation Structure for a Voting Game Can Be Strategically Stable," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 2-9, July.
  9. Slikker, M. & Norde, H.W., 2000. "Incomplete Stable Structures in Symmetric Convex Games," Discussion Paper 2000-97, Tilburg University, Center for Economic Research.
  10. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  11. repec:fth:tilbur:9987 is not listed on IDEAS
  12. Derks, Jean J M & Gilles, Robert P, 1995. "Hierarchical Organization Structures and Constraints on Coalition Formation," International Journal of Game Theory, Springer, vol. 24(2), pages 147-63.
  13. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  15. Johnson, C. & Gilles, R.P., 1999. "Spatial Social Networks," Discussion Paper 1999-87, Tilburg University, Center for Economic Research.
  16. Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  18. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
  19. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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