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Directed networks, allocation properties and hierarchy formation

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  • Slikker, Marco
  • Gilles, Robert P.
  • Norde, Henk
  • Tijs, Stef

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  • Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
  • Handle: RePEc:eee:matsoc:v:49:y:2005:i:1:p:55-80
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    1. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    2. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
    3. 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.
    4. Gernot Grabher & Walter W. Powell (ed.), 2004. "Networks," Books, Edward Elgar Publishing, volume 0, number 2771.
    5. Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Discussion Paper 2003-53, Tilburg University, Center for Economic Research.
    6. Matthew O. Jackson & Bhaskar Dutta, 2000. "original papers : The stability and efficiency of directed communication networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 251-272.
    7. Derks, Jean J M & Gilles, Robert P, 1995. "Hierarchical Organization Structures and Constraints on Coalition Formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(2), pages 147-163.
    8. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    9. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
    10. van den Brink, Rene & Gilles, Robert P., 1996. "Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures," Games and Economic Behavior, Elsevier, vol. 12(1), pages 113-126, January.
    11. Gilles, R.P. & Owen, G., 1999. "Cooperative Games and Disjunctive Permission Structures," Other publications TiSEM 4f162187-3069-4cb5-8353-5, Tilburg University, School of Economics and Management.
    12. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    13. Slikker, M., 2000. "Decision making and cooperation restrictions," Other publications TiSEM 61eead41-85c7-4ded-81c4-e, Tilburg University, School of Economics and Management.
    14. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    15. Slikker, M. & Norde, H.W., 2004. "Symmetric Convex Games and Stable Structures," Other publications TiSEM 9a800816-bebf-468f-98ae-3, Tilburg University, School of Economics and Management.
    16. Slikker, M. & Norde, H.W., 2004. "Symmetric Convex Games and Stable Structures," Discussion Paper 2004-114, Tilburg University, Center for Economic Research.
    17. Robert P. Gilles & Cathleen Johnson, 2000. "original papers : Spatial social networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 273-299.
    18. Slikker, Marco & Norde, Henk, 2004. "Incomplete stable structures in symmetric convex games," Games and Economic Behavior, Elsevier, vol. 48(1), pages 171-200, July.
    19. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    20. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 277-293.
    21. Gilles, R.P. & Owen, G., 1999. "Cooperative Games and Disjunctive Permission Structures," Discussion Paper 1999-20, Tilburg University, Center for Economic Research.
    22. 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.
    23. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
      • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
    24. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
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    Cited by:

    1. Kim Jeong-Yoo & Jun Tackseung, 2008. "Connectivity and Allocation Rule in a Directed Network," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-21, September.
    2. Agapie, Alexandru & Höns, Robin & Agapie, Adriana, 2010. "Limit behavior of the exponential voter model," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 271-281, May.
    3. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
    4. Subhadip Chakrabarti & Robert Gilles, 2007. "Network potentials," Review of Economic Design, Springer;Society for Economic Design, vol. 11(1), pages 13-52, June.
    5. Matthew O. Jackson, 2002. "The Stability and Efficiency of Economic and Social Networks," Microeconomics 0211011, University Library of Munich, Germany.

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