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Local Spillovers, Convexity and the Strategic Substitutes Property in Networks

  • Pascal Billand

    ()

    (GATE Lyon Saint-Etienne - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - École Normale Supérieure de Lyon)

  • Christophe Bravard

    ()

    (GATE Lyon Saint-Etienne - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - École Normale Supérieure de Lyon)

  • Sudipta Sarangi

    (Department of Economics, Louisiana State University - Department of Economics, Louisiana State University)

We provide existence results in a game with local spillovers where the payoff function satisfies both convexity and the strategic substitutes property. We show that there always exists a stable pairwise network in this game, and provide a condition which ensures the existence of pairwise equilibrium networks. Moreover, our existence proof allows us to characterize a pairwise equilibrium of these networks.

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Paper provided by HAL in its series Post-Print with number halshs-00574265.

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Date of creation: 2011
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Handle: RePEc:hal:journl:halshs-00574265
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00574265/en/
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  1. Paul Belleflamme & Francis Bloch, 2004. "Market sharing agreements and collusive networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 387-411, 05.
  2. Taiji Furusawa & Hideo Konishi, 2003. "Free Trade Networks," Working Papers 2003.55, Fondazione Eni Enrico Mattei.
  3. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
  4. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2012. "Directed Networks with Spillovers," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(6), pages 849-878, December.
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