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Network Design under Local Complementarities

  • Mohamed Belhaj

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université)

  • Sebastian Bervoets

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université)

  • Frédéric Deroïan

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université)

We consider agents playing a linear network game with strategic complementarities. We analyse the problem of a policy maker who can change the structure of the network in order to increase the aggregate efforts of the individuals and/or the sum of their utilities, given that the number of links of the network has to remain fixed. We identify some link reallocations that guarantee an improvement of aggregate efforts and/or aggregate utilities. With this comparative statics exercise, we then prove that the networks maximising both aggregate outcomes (efforts and utilities) belong to the class of Nested-Split Graphs.

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Date of creation: Feb 2013
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Handle: RePEc:hal:wpaper:halshs-00796487
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  1. Mathias Dewatripont & Patrick Bolton, 2004. "The firm as a communication network," ULB Institutional Repository 2013/9599, ULB -- Universite Libre de Bruxelles.
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  11. Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, vol. 100(4), pages 1468-92, September.
  12. Sah, Raaj Kumar & Stiglitz, Joseph E, 1986. "The Architecture of Economic Systems: Hierarchies and Polyarchies," American Economic Review, American Economic Association, vol. 76(4), pages 716-27, September.
  13. Ken Hendricks & Michele Piccione & Guofu Tan, 1995. "The Economics of Hubs: The Case of Monopoly," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 83-99.
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