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Connections Among Farsighted Agents

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Author Info

  • Vincent Vannetelbosch

    (Université catholique de Louvain)

  • Gilles Grandjean

    (CORE, Université catholique de Louvain)

  • Ana Mauleon

    (NRS and CEREC, Facultés universitaires Saint-Louis and FNRS and CORE, Université catholique de Louvain)

Abstract

We study the stability of social and economic networks when players are farsighted. In particular, we examine whether the networks formed by farsighted players are different from those formed by myopic players. We adopt Herings, Mauleon and Vannetelbosch’s (Games and Economic Behavior, forthcoming) notion of pairwise farsightedly stable set. We first investigate in some classical models of social and economic networks whether the pairwise farsightedly stable sets of networks coincide with the set of pairwise (myopically) stable networks and the set of strongly efficient networks. We then provide some primitive conditions on value functions and allocation rules so that the set of strongly efficient networks is the unique pairwise farsightedly stable set. Under the componentwise egalitarian allocation rule, the set of strongly efficient networks and the set of pairwise (myopically) stable networks that are immune to coalitional deviations are the unique pairwise farsightedly stable set if and only if the value function is top convex.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.30.

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Date of creation: May 2009
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Handle: RePEc:fem:femwpa:2009.30

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Keywords: Farsighted Players; Stability; Efficiency; Connections Model; Buyerseller Networks;

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References

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  1. Samir Kamat & Frank Page & Myrna Wooders, 2004. "Networks and Farsighted Stability," Econometric Society 2004 North American Winter Meetings 561, Econometric Society.
  2. Rachel E. Kranton & Deborah F. Minehart, 2001. "A Theory of Buyer-Seller Networks," American Economic Review, American Economic Association, vol. 91(3), pages 485-508, June.
  3. 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.
  4. Matthew O. Jackson, 2001. "Strongly Stable Networks," University of Oregon Economics Department Working Papers 2001-3, University of Oregon Economics Department, revised 15 Nov 2002.
  5. Frank H. Page, Jr. & Myrna H. Wooders, 2006. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Vanderbilt University Department of Economics Working Papers 0614, Vanderbilt University Department of Economics.
  6. HERINGS, Jean-Jacques & MAULEON, Ana & VANNETELBOSCH, Vincent, . "Farsightedly stable networks," CORE Discussion Papers RP -2171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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).
  8. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  9. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  10. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
  11. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, 05.
  12. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
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Cited by:
  1. KIRCHSTEIGER, Georg & MANTOVANI, Marco & MAULEON, Ana & VANNETELBOSCH, Vincent, 2011. "Myopic or farsighted? An experiment on network formation," CORE Discussion Papers 2011007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. CARAYOL, Nicolas & DELILLE, Rémy & VANNETELBOSCH, Vincent, 2014. "Allocating value among farsighted players in network formation," CORE Discussion Papers 2014004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. A Bhattacharya, . "Stable and Efficient Networks with Farsighted Players: the Largest Consistent Set," Discussion Papers 09/34, Department of Economics, University of York.

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