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Networks and farsighted stability

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

Networks and Farsighted Stability By Frank H. Page, Jr. Department of Finance University of Alabama Tuscaloosa, AL 35487 USA fpage@cba.ua.edu Myrna H. Wooders Department of Economics University of Warwick Coventry CV4 7AL UK M.Wooders@warwick.ac.uk Samir Kamat Portfolio Management Group Wachovia Corporation Atlanta, GA 30303 USA samir.kamat2@wachovia.com 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 directed networks. In particular, we introduce the notion of a supernetwork. A supernetwork is made up of a collection of directed networks (the nodes) and uniquely represents (via the arcs connecting the nodes) agent preferences and the rules governing network formation. By reformulating Chwe's basic result on the nonemptiness of farsightedly stable sets, we show that for any supernetwork (i.e., for any collection of directed networks and any collection of rules governing network formation), there exists a farsightedly stable directed network. We also introduce the notion of a Nash network relative to a given supernetwork, as well as the notions of symmetric, nonsimultaneous, and decomposable supernetworks. To illustrate the utility of our framework, we present several examples of supernetworks, compute the farsightedly stable networks, and the Nash networks.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 120 (2005)
Issue (Month): 2 (February)
Pages: 257-269

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Handle: RePEc:eee:jetheo:v:120:y:2005:i:2:p:257-269
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. 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.
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  3. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
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  7. 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).
  8. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
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  12. Ana, MAULEON & Vincent, VANNETELBOSCH, 2003. "Farsightedness and Cautiousness in Coalition Formation," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003003, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  13. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
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