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On the interaction between heterogeneity and decay in two-way flow models

Author

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  • Pascal Billand

    ()

  • Christophe Bravard

    ()

  • Sudipta Sarangi

    ()

Abstract

In this article, we examine the role played by heterogeneity in the popular “connections model” of Jackson and Wolinsky (J Econ Theory 71(1):355–365, 1996 ). We prove that when heterogeneity with respect to the values of resources, or the information decay parameter, depends on the identity of the player who forms the link, and the player who receives the link, all networks can be supported as Nash. Moreover, we show that Nash networks may not always exist. Interestingly, in the absence of decay, neither result occurs in a model with value heterogeneity. Finally, we show that when reducing heterogeneity, all networks cannot be supported as Nash, and the non-existence problem also disappears. Copyright Springer Science+Business Media, LLC. 2012

Suggested Citation

  • Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2012. "On the interaction between heterogeneity and decay in two-way flow models," Theory and Decision, Springer, vol. 73(4), pages 525-538, October.
  • Handle: RePEc:kap:theord:v:73:y:2012:i:4:p:525-538
    DOI: 10.1007/s11238-011-9279-y
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    File URL: http://hdl.handle.net/10.1007/s11238-011-9279-y
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    References listed on IDEAS

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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. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    3. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    4. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    5. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    6. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
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    Cited by:

    1. Philipp Möhlmeier & Agnieszka Rusinowska & Emily Tanimura, 2013. "A degree-distance-based connections model with negative and positive externalities," Documents de travail du Centre d'Economie de la Sorbonne 13040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

    More about this item

    Keywords

    Connections model; Decay; Two-way flow models; Nash networks; C72; D85;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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