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Networks and clubs

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Author Info

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

Abstract

We formulate a club model where players' have identical single-peaked preferences over club sizes as a network formation game. For situations with "many" clubs, we provide necessary and sufficient for non-emptiness of the farsighted core and the direct (or myopic) core. With "too few" clubs, if players are farsighted then the farsighted core is empty. In this same case, if players are myopic then the direct core is always nonempty and, for any club network in the direct core, clubs are of nearly equal size (i.e., clubs differ in size by at most one member).

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 64 (2007)
Issue (Month): 3-4 ()
Pages: 406-425

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Handle: RePEc:eee:jeborg:v:64:y:2007:i:3-4:p:406-425

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Web page: http://www.elsevier.com/locate/jebo

Related research

Keywords: Clubs Network formation games Path dominance core Nash club equilibria;

References

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  1. Chander, P. & Tulkens, H., . "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," CORE Discussion Papers RP -1158, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153.
  3. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  4. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1998. "Equilibrium in a Finite Local Public Goods Economy," Journal of Economic Theory, Elsevier, vol. 79(2), pages 224-244, April.
  5. Chander, P. & Tulkens, H., . "The core of an economy with multilateral environmental externalities," CORE Discussion Papers RP -1276, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August.
  7. 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.
  8. Konishi, Hideo & Weber, Shlomo & Le Breton, Michel, 1997. "Free mobility equilibrium in a local public goods economy with congestion," Research in Economics, Elsevier, vol. 51(1), pages 19-30, April.
  9. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
  10. Tone Arnold & Myrna Wooders, 2005. "Dynamic Club Formation with Coordination," Vanderbilt University Department of Economics Working Papers 0522, Vanderbilt University Department of Economics.
  11. Shubik, Martin & Wooders, Myrna Holtz, 1983. "Approximate cores of replica games and economies : Part II: Set-up costs and firm formation in coalition production economies," Mathematical Social Sciences, Elsevier, vol. 6(3), pages 285-306, December.
  12. Effrosyni Diamantoudi & Licun Xue, . "Farsighted Stability in Hedonic Games," Economics Working Papers 2000-12, School of Economics and Management, University of Aarhus.
  13. Kovalenkov, Alexander & Wooders, Myrna Holtz, 2002. "Approximate Cores Of Games And Economies With Clubs," The Warwick Economics Research Paper Series (TWERPS) 634, University of Warwick, Department of Economics.
  14. Kirman, Alan P., 1983. "Communication in markets : A suggested approach," Economics Letters, Elsevier, vol. 12(2), pages 101-108.
  15. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416.
  16. Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
  17. Martin Shubik & Myrna Holtz Wooders, 1982. "Near-Markets and Market Games," Cowles Foundation Discussion Papers 657, Cowles Foundation for Research in Economics, Yale University.
  18. Gabrielle Demange, 2005. "Group formation: The interaction of increasing returns and preferences' diversity," Post-Print halshs-00573563, HAL.
  19. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
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Citations

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Cited by:
  1. MAULEON, Ana & SEMPERE-MONERRIS, Jose & VANNETELBOSCH, Vincent J., 2005. "Networks of manufacturers and retailers," CORE Discussion Papers 2005041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00881125, HAL.
  3. Frank Page & Myrna Wooders, 2007. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Caepr Working Papers 2007-020, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  4. Dev, Pritha, 2010. "Choosing `Me' and `My Friends': Identity in a Non-Cooperative Network Formation Game with Cost Sharing," MPRA Paper 21631, University Library of Munich, Germany.
  5. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
  6. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
  7. Yannis M. Ioannides & Linda Datcher Loury, 2004. "Job Information Networks, Neighborhood Effects, and Inequality," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1056-1093, December.

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