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Contractually stable networks

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  • CAULIER, Jean-François
  • MAULEON, Ana
  • VANNETELBOSCH, Vincent

Abstract

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 RP with number -2477.

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Handle: RePEc:cor:louvrp:-2477

Note: In : International Journal of Game Theory, 42(2), 483-499, 2013
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  1. Taiji Furusawa & Hideo Konishi, 2003. "Free Trade Networks," Working Papers 2003.55, Fondazione Eni Enrico Mattei.
  2. Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics 0211006, EconWPA.
  3. Page Jr., Frank H. & Wooders, Myrna, 2010. "Club networks with multiple memberships and noncooperative stability," Games and Economic Behavior, Elsevier, vol. 70(1), pages 12-20, September.
  4. 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.
  5. Mauleon, Ana & Sempere-Monerris, Jose J. & Vannetelbosch, Vincent J., 2011. "Networks of manufacturers and retailers," Journal of Economic Behavior & Organization, Elsevier, vol. 77(3), pages 351-367, March.
  6. Jean-Jacques HERINGS & Ana MAULEON & Vincent J. VANNETELBOSCH, 2001. "Rationalizability for Social Environments," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  7. Frank Page & Myrna Wooders, 2007. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Caepr Working Papers 2007-020, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  8. Goyal, S. & Joshi, S., 2000. "Networks of Collaboration in Oligopoly," Econometric Institute Research Papers EI 9952-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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  11. Sang-Seung, Yi, 1996. "Endogenous formation of customs unions under imperfect competition: open regionalism is good," Journal of International Economics, Elsevier, vol. 41(1-2), pages 153-177, August.
  12. 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.
  13. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
  14. 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.
  15. Ping Wang & Alison Watts, 2006. "Formation of buyer-seller trade networks in a quality-differentiated product market," Canadian Journal of Economics, Canadian Economics Association, vol. 39(3), pages 971-1004, August.
  16. Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
  17. 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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Cited by:
  1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Documents de travail du Centre d'Economie de la Sorbonne 13063, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers CIE 73, University of Paderborn, CIE Center for International Economics.
  3. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00881125, HAL.
  4. repec:pdn:wpaper:73 is not listed on IDEAS

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