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Contractually stable networks

  • CAULIER, Jean-François
  • MAULEON, Ana

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

  • VANNETELBOSCH, Vincent

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

We develop a theoretical framework that allows us to study which bilateral links and coalition structures are going to emerge at equilibrium. We define the notion of coalitional network to represent a network and a coalition structure, where the network specifies the nature of the relationship each individual has with his coalition members and with individuals outside his coalition. To predict the coalitional networks that are going to emerge at equilibrium we propose the concept of contractual stability which requires that any change made to the coalitional network needs the consent of both the deviating players and their original coalition partners. We show that there always exists a contractually stable coalitional network under the simple majority decision rule and the component-wise egalitarian or majoritarian allocation rules. Moreover, requiring the consent of group members may help to reconcile stability and efficiency.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2008066.

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Date of creation: 01 Dec 2008
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Handle: RePEc:cor:louvco:2008066
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  1. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Goyal, S. & Joshi, S., 1999. "Bilateralism and free trade," Econometric Institute Research Papers EI 9953-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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  12. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
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  14. 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.
  15. Rachel E. Kranton & Deborah F. Minehart, 2000. "Networks versus Vertical Integration," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 570-601, Autumn.
  16. Dreze, J.H. & Greenberg, J., . "Hedonic coalitions: optimality and stability," CORE Discussion Papers RP -403, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  17. HERINGS, Jean-Jacques & MAULEON, Ana & ANNETELBOSCH, Vincent J., . "Rationalizability for social environments," CORE Discussion Papers RP -1718, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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