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Existence of Nash Networks in One-Way Flow Models (Revised Version of LSU Working Paper 2006-05)

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  • Sudipta Sarangi

    ()

  • Pascal Billand

    ()

  • Christophe Bravard

    ()

Abstract

This paper addresses the existence of Nash networks for the one-way flow model of Bala and Goyal (2000) in a number of different settings. First, we provide conditions for he existence of Nash networks in models where costs and values of links are heterogenous and players obtain resources from others only through the directed path between them. We find that costs of establishing links play a vital role in the existence of Nash networks. Next we examine the existence of Nash networks when there are congestion effects in the model. Then, we provide conditions for the existence of Nash networks in a model where a player’s payoff depends on the number of links she has established as well as on the number of links that other players in the population have created. More precisely, we show that convexity and increasing (decreasing) differences allow for the existence of Nash networks.

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Bibliographic Info

Paper provided by Department of Economics, Louisiana State University in its series Departmental Working Papers with number 2007-02.

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Handle: RePEc:lsu:lsuwpp:2007-02

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  1. Andrea Galeotti & Sanjeev Goyal, 2002. "Network Formation with Heterogeneous Players," Tinbergen Institute Discussion Papers 02-069/1, Tinbergen Institute.
  2. Hans Haller & Sudipta Sarangi, 2003. "Nash Networks with Heterogeneous Agents," Discussion Papers of DIW Berlin 337, DIW Berlin, German Institute for Economic Research.
  3. Sudipta Sarangi & Hans Haller & Jurjen Kamphorst, . "(Non-)Existence and Scope of Nash Networks," Departmental Working Papers 2005-14, Department of Economics, Louisiana State University.
  4. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer, vol. 29(1), pages 163-179, September.
  5. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Billand, Pascal & Bravard, Christophe, 2005. "A note on the characterization of Nash networks," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 355-365, May.
  7. Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Heterogeneity in Nash Networks," Departmental Working Papers 2006-18, Department of Economics, Louisiana State University.
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