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Connections Among Farsighted Agents

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  • GILLES GRANDJEAN
  • ANA MAULEON
  • VINCENT VANNETELBOSCH

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

Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 13 (2011)
Issue (Month): 6 (December)
Pages: 935-955

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Handle: RePEc:bla:jpbect:v:13:y:2011:i:6:p:935-955

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References

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  1. Jackson, Matthew O. & van den Nouweland, Anne, 2002. "Strongly Stable Networks," Working Papers 1147, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  3. 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).
  4. Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
  5. 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).
  6. 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.
  7. 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.
  8. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
  9. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  10. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  11. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. 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.
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Cited by:
  1. Nicolas CARAYOL & Remi DELILLE & Vincent VANNETELBOSCH, 2014. "Allocating value among farsighted players in network formation," Cahiers du GREThA 2014-05, Groupe de Recherche en Economie Théorique et Appliquée.
  2. 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).
  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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