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A note on local spillovers, convexity, and the strategic substitutes property in networks

Author

Listed:
  • Pascal Billand

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Christophe Bravard

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Sudipta Sarangi

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

Abstract

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.

Suggested Citation

  • Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2013. "A note on local spillovers, convexity, and the strategic substitutes property in networks," Post-Print halshs-00728199, HAL.
    • Handle: RePEc:hal:journl:halshs-00728199
    DOI: 10.1007/s11238-012-9328-1
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    References listed on IDEAS

    as
    1. Furusawa, Taiji & Konishi, Hideo, 2007. "Free trade networks," Journal of International Economics, Elsevier, vol. 72(2), pages 310-335, July.
    2. 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, May.
    3. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    4. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
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    Cited by:

    1. Möhlmeier, Philipp & Rusinowska, Agnieszka & Tanimura, Emily, 2018. "Competition for the access to and use of information in networks," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 48-63.
    2. Currarini, Sergio & Fumagalli, Elena & Panebianco, Fabrizio, 2017. "Peer effects and local congestion in networks," Games and Economic Behavior, Elsevier, vol. 105(C), pages 40-58.

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    More about this item

    Keywords

    Networks; Existence; Spillovers;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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