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A note on local spillovers, convexity, and the strategic substitutes property in networks |
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| Authors: | Pascal Billand Christophe Bravard Sudipta Sarangi |
| Institution: | 1. Université de Lyon, 69003, Lyon, France 2. Université Jean Monnet, 42000, Saint-Etienne, France 3. CNRS, GATE Lyon St Etienne, 42000, Saint-Etienne, France 4. Université Grenoble 2, UMR 1215 GAEL, 38000, Grenoble, France 5. DIW Berlin and Louisiana State University, Baton Rouge, Louisiana |
| 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. |
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