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Power in the Heterogeneous Connections Model: The Emergence of Core-Periphery Networks

  • Dotan Persitz

    (Tel Aviv University)

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    The heterogeneous connections model is a generalization of the homogeneous connections model of Jackson and Wolinsky (1996) in which the intrinsic value of each connection is set by a discrete, positive and symmetric function that depends solely on the types of the two end agents. Core periphery networks are defined as networks in which the agents' set can be partitioned into two subsets, one in which the members are completely connected among themselves and the other where there are no internal links. A two-type society is defined as "power based" if both types of agents prefer to connect to one of the types over the other, controlling for path length. An exhaustive analysis shows that core periphery networks, in which the "preferred" types are in the core and the "rejected" types are in the periphery, are crucial in the "power based" society. In particular, if the linking costs are not too low and not too high, at least one such network is pairwise stable. Moreover, in many cases these networks are the unique pairwise stable networks and in all cases they are the unique strongly efficient networks. The set of efficient networks often differs from the set of pairwise stable networks, hence a discussion on this issue is developed. These results suggest heterogeneity accompanied by "power based" linking preferences as a natural explanation for many core-periphery structures observed in real life social networks.

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    Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.42.

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    Date of creation: May 2009
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    Handle: RePEc:fem:femwpa:2009.42
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    1. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
    2. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    3. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
    4. Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Game Theory and Information 0503004, EconWPA.
    5. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    6. Andrea Galeotti & Sanjeev Goyal, 2007. "The Law of the Few," Economics Discussion Papers 636, University of Essex, Department of Economics.
    7. repec:dgr:uvatin:2006008 is not listed on IDEAS
    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. Benabou, Roland, 1993. "Workings of a City: Location, Education, and Production," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 619-52, August.
    10. Krugman, Paul, 1994. "Complex Landscapes in Economic Geography," American Economic Review, American Economic Association, vol. 84(2), pages 412-16, May.
    11. Marco van der Leij & Sanjeev Goyal, 2006. "Strong Ties in a Small World," Tinbergen Institute Discussion Papers 06-008/1, Tinbergen Institute.
    12. Miyao, Takahiro, 1978. "Dynamic Instability of a Mixed City in the Presence of Neighborhood Externalities," American Economic Review, American Economic Association, vol. 68(3), pages 454-63, June.
    13. Freeman, Linton C., 1982. "Centered graphs and the structure of ego networks," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 291-304, October.
    14. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer, vol. 29(1), pages 163-179, September.
    15. Hojman, Daniel & Szeidl, Adam, 2006. "Core and Periphery in Endogenous Networks," Working Paper Series rwp06-022, Harvard University, John F. Kennedy School of Government.
    16. Bramoulle, Yann, 2007. "Anti-coordination and social interactions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 30-49, January.
    17. McBride, Michael, 2006. "Imperfect monitoring in communication networks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 97-119, January.
    18. Benabou, Roland, 1996. "Heterogeneity, Stratification, and Growth: Macroeconomic Implications of Community Structure and School Finance," American Economic Review, American Economic Association, vol. 86(3), pages 584-609, June.
    19. Benabou, Roland, 1996. "Equity and Efficiency in Human Capital Investment: The Local Connection," Review of Economic Studies, Wiley Blackwell, vol. 63(2), pages 237-64, April.
    20. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    21. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    22. Fafchamps, Marcel, 1992. "Solidarity Networks in Preindustrial Societies: Rational Peasants with a Moral Economy," Economic Development and Cultural Change, University of Chicago Press, vol. 41(1), pages 147-74, October.
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