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Directed communication networks

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Author Info
Slikker, M.
Gilles, R.
Norde, H.
Tijs, S. (Tilburg University, Center for Economic Research)

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

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

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Related research
Keywords: communication networks;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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.
  2. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April. [Downloadable!] (restricted)
  3. repec:fth:tilbur:9987 is not listed on IDEAS
  4. Gilles, R.P. & Owen, G., 1999. "Cooperative games and disjunctive permission structures," Discussion Paper 20, Tilburg University, Center for Economic Research. [Downloadable!]
  5. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October. [Downloadable!] (restricted)
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  6. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer, vol. 27(2), pages 245-256. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April. [Downloadable!] (restricted)
  9. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
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  11. Slikker, M. & Norde, H., 2000. "Incomplete stable structures in symmetric convex games," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
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  12. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  13. 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.
  14. Johnson, C. & Gilles, R.P., 1999. "Spatial social networks," Discussion Paper 87, Tilburg University, Center for Economic Research. [Downloadable!]
  15. Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  16. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Anne van den Nouweland, 2004. "The Formation of Communication Networks in Cooperative Games," University of Oregon Economics Department Working Papers 2004-2, University of Oregon Economics Department. [Downloadable!]
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