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Core and periphery in networks

  • Hojman, Daniel A.
  • Szeidl, Adam

We study a model of network formation where the benefits from connections exhibit decreasing returns and decay with network distance. We show that the unique equilibrium network is a periphery-sponsored star, where one player, the center, maintains no links and earns a high payoff, while all other players maintain a single link to the center and earn lower payoffs. Both the star architecture and payoff inequality are preserved in an extension of the model where agents can make transfers and bargain over the formation of links, under the condition that the surplus of connections increases in the size of agents' neighborhoods. Our model thus generates two common features of social and economic networks: (1) a core-periphery structure; (2) positive correlation between network centrality and payoffs.

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

Volume (Year): 139 (2008)
Issue (Month): 1 (March)
Pages: 295-309

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Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:295-309
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. 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.
  2. Sanjeev Goyal & Marco van der Leij & José Luis Moraga-Gonzàlez, 2004. "Economics: An Emerging Small World?," Working Papers 2004.84, Fondazione Eni Enrico Mattei.
  3. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  4. Harrison Hong & Jeffrey D. Kubik & Jeremy C. Stein, 2003. "The Neighbor's Portfolio: Word-of-Mouth Effects in the Holdings and Trade of Money Managers," NBER Working Papers 9711, National Bureau of Economic Research, Inc.
  5. Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
  6. Andrea Galeotti & Sanjeev Goyal & Jurjen Kamphorst, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers 562, University of Essex, Department of Economics.
  7. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
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