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Two-way Flow Networks with Small Decay

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  • K. De Jaegher

    (Utrecht University)

  • J.J.A. Kamphorst

    (Erasmus University Rotterdam)

Abstract

This paper characterizes the set of equilibrium networks in the two-way flow model of network formation with small decay, and this for all increasing benefit functions of the players. We show that as long as the population is large enough, this set contains large- as well as small-diameter networks. For all benefit functions, the periphery-sponsored star is the most stable. When the marginal benefits of information are constant, all non-star networks are equally stable. With increasing marginal benefits of information, small-diameter networks in general tend to be more stable. However, with decreasing marginal benefits of information, large-diameter networks tend to be the most robust along with the periphery-sponsored star.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 10-125/1.

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Date of creation: 10 Dec 2010
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Handle: RePEc:dgr:uvatin:20100125

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Web page: http://www.tinbergen.nl

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Keywords: Network formation; two-way flow model; decay; non-linear benefits;

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References

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  1. Bloch, Francis & Dutta, Bhaskar, 2005. "Communication Networks with Endogenous Link Strength," The Warwick Economics Research Paper Series (TWERPS) 723, University of Warwick, Department of Economics.
  2. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
  3. Jurjen Kamphorst & Gerard van der Laan, 2004. "Network Formation under Heterogeneous Costs: The Multiple Group Model," Tinbergen Institute Discussion Papers 04-006/1, Tinbergen Institute.
  4. Filippo VERGARA CAFFARELLI, 2004. "Non-Cooperative Network Formation with Network Maintenance Costs," Economics Working Papers ECO2004/18, European University Institute.
  5. Berno Buechel, 2007. "Network formation with closeness incentives," Working Papers 395, Bielefeld University, Center for Mathematical Economics.
  6. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
  7. Andrea Galeotti & Sanjeev Goyal & Jurjen Kamphorst, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers 562, University of Essex, Department of Economics.
  8. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
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Cited by:
  1. Cui, Zhiwei & Wang, Shouyang & Zhang, Jin & Zu, Lei, 2013. "Stochastic stability in one-way flow networks," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 410-421.
  2. Pascal Billand & Christophe Bravard & Jurjen Kamphorst & Sudipta Sarangi, 2012. "Confirming Information Flows in Networks," Tinbergen Institute Discussion Papers 12-019/1, Tinbergen Institute.

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