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Local Spillovers, Convexity and the Strategic Substitutes Property in Networks

  • 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)

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 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 1110.

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Date of creation: 2011
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Handle: RePEc:gat:wpaper:1110
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  1. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
  2. Taiji Furusawa & Hideo Konishi, 2002. "Free Trade Networks," Boston College Working Papers in Economics 548, Boston College Department of Economics, revised 08 Sep 2003.
  3. ELLEFLAMME, Paul & BLOCH, Francis, . "Market sharing agreements and collusive networks," CORE Discussion Papers RP -1711, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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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