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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- 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, 05.
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- ELLEFLAMME, Paul & BLOCH, Francis, . "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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548, Boston College Department of Economics, revised 08 Sep 2003.
- 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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