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Network Design under Local Complementarities

  • Mohamed Belhaj

    ()

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

  • Sebastian Bervoets

    ()

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

  • Frédéric Deroïan

    ()

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

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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