Networks and Farsighted Stability
Networks and Farsighted Stability By Frank H. Page, Jr. Department of Finance University of Alabama Tuscaloosa, AL 35487 USA firstname.lastname@example.org 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 email@example.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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|Date of creation:||11 Aug 2004|
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- Matthew O. Jackson, 2002. "The Stability and Efficiency of Economic and Social Networks," Microeconomics 0211011, EconWPA.
- 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.
- 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.
- 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).
- 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.
- Page Jr. Frank H & Wooders, Myrna & Kamat, Samir, 2003. "Networks and Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 689, University of Warwick, Department of Economics.
- Samir Kamat & Frank Page & Myrna Wooders, 2004. "Networks and Farsighted Stability," Econometric Society 2004 North American Winter Meetings 561, Econometric Society.
- 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.
- 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.
- Page Jr, Frank H & Wooders, Myrna H. & Kamat, Samir, 2002. "Networks And Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 660, University of Warwick, Department of Economics.
- 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.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- 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.
- Li, Shuhe, 1992. "Far-sighted strong equilibrium and oligopoly," Economics Letters, Elsevier, vol. 40(1), pages 39-44, September.
- 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).
- Ana Mauleon & Vincent Vannetelbosch, 2003. "Farsightedness and Cautiousness in Coalition Formation," Working Papers 2003.52, Fondazione Eni Enrico Mattei.
- Matthew O. Jackson & Asher Wolinsky, 1995.
"A Strategic Model of Social and Economic Networks,"
1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
- Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
- Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004.
"Farsighted Network Formation,"
122, Centre for Development Economics, Delhi School of Economics.
- Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
- Deroian, Frederic, 2003. "Farsighted strategies in the formation of a communication network," Economics Letters, Elsevier, vol. 80(3), pages 343-349, September.
- Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
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