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Networks and Farsighted Stability

  • Frank H. Page Jr.
  • Myrna H. Wooders
  • Samir Kamat

We make two main contributions to the theory of economic and social network formation. First, we introduce the notion of a network formation network or a supernetwork. Supernetworks provide a framework in which we can formally define and analyze farsightedness in network formation. Second, we introduce a new notion of equilibrium corresponding to farsightedness. In particular, we introduce the notion of a farsightedly basic network, as well as the notion of a farsighted basis, and we show that all supernetworks possess a farsighted basis. A farsightedly basic network contained in the farsighted basis of a given supernetwork represents a possible final resting point (or absorbing state) of a network formation process in which agents behave farsightedly. Given the supernetwork representation of the rules governing network formation and the preferences of the individuals, a farsighted basis contains networks which are likely to emerge and persist if individuals behave farsightedly

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2002 with number 370.

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Date of creation: 01 Jul 2002
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Handle: RePEc:sce:scecf2:370
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  1. BHATTACHARYA, Anindya & ZIAD, Abderrahmane, 2003. "On conservative stable standard of behaviour in situations with perfect foresight," CORE Discussion Papers 2003049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  3. Hideo Konishi & Debraj Ray, 2000. "Coalition Formation as a Dynamic Process," Boston College Working Papers in Economics 478, Boston College Department of Economics, revised 15 Apr 2002.
  4. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
  5. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  6. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
  7. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  8. 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.
  9. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  10. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
  11. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
  12. Ana Mauleon & Vincent Vannetelbosch, 2003. "Farsightedness and Cautiousness in Coalition Formation," Working Papers 2003.52, Fondazione Eni Enrico Mattei.
  13. Shapley, Lloyd S & Shubik, Martin, 1969. "On the Core of an Economic System with Externalities," American Economic Review, American Economic Association, vol. 59(4), pages 678-84, Part I Se.
  14. Li, Shuhe, 1992. "Far-sighted strong equilibrium and oligopoly," Economics Letters, Elsevier, vol. 40(1), pages 39-44, September.
  15. 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.
  16. Deroian, Frederic, 2003. "Farsighted strategies in the formation of a communication network," Economics Letters, Elsevier, vol. 80(3), pages 343-349, September.
  17. Matthew O. Jackson, 2002. "The Stability and Efficiency of Economic and Social Networks," Microeconomics 0211011, EconWPA.
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