Local Spillovers, Convexity and the Strategic Substitutes Property in Networks
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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- Furusawa, Taiji & Konishi, Hideo, 2007. "Free trade networks," Journal of International Economics, Elsevier, vol. 72(2), pages 310-335, July.
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- ELLEFLAMME, Paul & BLOCH, Francis, 2004. "Market sharing agreements and collusive networks," CORE Discussion Papers RP 1711, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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