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Networks And Farsighted Stability

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

Abstract

The main contribution of this paper is to provide a framework in which the notion of farsighted stability for games, introduced by Chwe (1994), can be applied to direct networks. Then using Chwe's basic result on the nonemptiness of farsighted stable sets for games, we show that for any given collection of directed networks and any given collection of rules governing network formation, there exists a farsighted stable directed network.

Suggested Citation

  • Page Jr, Frank H & Wooders, Myrna H & Kamat, Samir, 2001. "Networks And Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 621, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:621
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    References listed on IDEAS

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    1. Sergio Currarini & Massimo Morelli, 2000. "original papers : Network formation with sequential demands," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 229-249.
    2. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    3. Luo, Xiao, 2001. "General systems and [phiv]-stable sets -- a formal analysis of socioeconomic environments," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 95-109, November.
    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. BHATTACHARYA, Anindya & ZIAD, Abderrahmane, 2003. "On conservative stable standard of behaviour in situations with perfect foresight," LIDAM Discussion Papers CORE 2003049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Deroian, Frederic, 2003. "Farsighted strategies in the formation of a communication network," Economics Letters, Elsevier, vol. 80(3), pages 343-349, September.
    7. Licun Xue, 2000. "Negotiation-proof Nash equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 339-357.
    8. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    9. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    10. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    11. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    12. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    13. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    14. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
    15. 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.
    16. Ana, MAULEON & Vincent, VANNETELBOSCH, 2003. "Farsightedness and Cautiousness in Coalition Formation," LIDAM Discussion Papers IRES 2003003, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    17. Matthew O. Jackson, 2002. "The Stability and Efficiency of Economic and Social Networks," Microeconomics 0211011, University Library of Munich, Germany.
    18. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    19. 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.
    20. 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 678-684, Part I Se.
    21. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
    22. Li, Shuhe, 1992. "Far-sighted strong equilibrium and oligopoly," Economics Letters, Elsevier, vol. 40(1), pages 39-44, September.
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    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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