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A degree-distance-based connections model with negative and positive externalities

  • Philipp Möhlmeier

    ()

    (Center for Mathematical Economics, Bielefeld University)

  • Agnieszka Rusinowska

    ()

    (Paris School of Economics - CNRS, Centre d’Economie de la Sorbonne)

  • Emily Tanimura

    ()

    (Université Paris I Panthéon-Sorbonne, Centre d’Economie de la Sorbonne)

We develop a modification of the connections model by Jackson and Wolinsky (1996) that takes into account negative externalities arising from the connectivity of direct and indirect neighbors, thus combining aspects of the connections model and the co-author model. We consider a general functional form for agents’ utility that incorporates both the effects of distance and of neighbors’ degree. Consequently, we introduce a framework that can be seen as a degree-distance-based connections model with both negative and positive externalities. Our analysis shows how the introduction of negative externalities modifies certain results about stability and efficiency compared to the original connections model. In particular, we see the emergence of new stable structures, such as a star with links between peripheral nodes. We also identify structures, for example, certain disconnected networks, that are efficient in our model but which could not be efficient in the original connections model. While our results are proved for the general utility function, some of them are illustrated by using a specific functional form of the degree-distance-based utility.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-479.pdf
File Function: First version, 2013
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Paper provided by Center for Mathematical Economics, Bielefeld University in its series Center for Mathematical Economics Working Papers with number 479.

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Length: 29 pages
Date of creation: May 2013
Date of revision:
Handle: RePEc:bie:wpaper:479
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
Phone: +49(0)521-106-4907
Web page: http://www.imw.uni-bielefeld.de/

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  2. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
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  13. 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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  16. Sergio Currarini, 2006. "Network Design in Games with Spillovers," Working Papers 2006_16, Department of Economics, University of Venice "Ca' Foscari".
  17. Jackson, Matthew O. & Rogers, Brian W., 2005. "The economics of small worlds," Working Papers 1214, California Institute of Technology, Division of the Humanities and Social Sciences.
  18. Tim Hellmann, 2013. "On the existence and uniqueness of pairwise stable networks," International Journal of Game Theory, Springer, vol. 42(1), pages 211-237, February.
  19. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
  20. Thayer Morrill, 2011. "Network formation under negative degree-based externalities," International Journal of Game Theory, Springer, vol. 40(2), pages 367-385, May.
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