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Existence of Nash Networks and Partner Heterogeneity

  • Pascal Billand

    ()

    (Université de Lyon, Lyon, F-69003, France ; Université Jean Monnet, Saint-Etienne, F-42000, France ; CNRS, GATE Lyon St Etienne, Saint-Etienne, F-42000, France)

  • Christophe Bravard

    ()

    (Université de Lyon, Lyon, F-69007, France ; Université Jean Monnet, Saint-Etienne, F-42000, France ; CNRS, GATE Lyon St Etienne, Saint-Etienne, F-42000, France)

  • Sudipta Sarangi

    ()

    (Department of Economics, Virginia Tech and Louisiana State University)

In this paper, we pursue the work of H. Haller and al. (2005, [10]) and examine the existence of equilibrium networks, called Nash networks, in the noncooperative two-way flow model (Bala and Goyal, 2000, [1]) with partner heterogeneous agents. We show through an example that Nash networks do not always exist in such a context. We then restrict the payoff function, in order to find conditions under which Nash networks always exist. We give two properties : increasing differences and convexity in the first argument of the payoff function, that ensure the existence of Nash networks. It is worth noting that linear payoff functions satisfy the previous properties.

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Paper provided by Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure in its series Working Papers with number 1111.

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Date of creation: 2011
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Handle: RePEc:gat:wpaper:1111
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  1. Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Existence of Nash Networks in One-Way Flow Models," Departmental Working Papers 2006-05, Department of Economics, Louisiana State University.
  2. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Strict Nash networks and partner heterogeneity," Post-Print halshs-00617713, HAL.
  3. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
  4. Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(3), pages 515-522, December.
  5. 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.
  6. Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 205-228.
  7. 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.
  8. Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 163-179, September.
  9. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers 2996, University of Essex, Department of Economics.
  10. repec:ebl:ecbull:v:3:y:2008:i:79:p:1-4 is not listed on IDEAS
  11. Billand, Pascal & Bravard, Christophe, 2005. "A note on the characterization of Nash networks," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 355-365, May.
  12. Christophe Bravard & Sudipta Sarangi & Pascal Billand, 2008. "A Note on Existence of Nash Networks in One-way Flow," Economics Bulletin, AccessEcon, vol. 3(79), pages 1-4.
  13. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  14. Pascal Billand & Christophe Bravard, 2005. "A Note on the Characterization of Nash Networks," Post-Print hal-00372481, HAL.
  15. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
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