Communication Networks with Endogenous Link Strength
This paper analyzes the formation of communication networks when players choose endogenously their investment on communication links. We consider two alternative de?nitions of network reliability ; product reliability, where the decay of information depends on the product of the strength of communication links, and min reliability where the speed of connection is a¤ected by the weakest communication link. When investments are separable, the architecture of the efficient network depends crucially on the shape of the transformation function linking investments to the quality of communication links. With increasing marginal returns to investment, the efficient network is a star ; with decreasing marginal returns, the con?ict between maximization of direct and indirect bene?ts prevents a complete characterization of efficient networks. However, with min reliability, the efficient network must be a tree. Furthermore, in the particular case of linear transformation functions, in an e¢ cient network, all links must have equal strength. When investments are perfect complements, the results change drastically : under product reliability, the efficient network must contain a cycle, and is in fact a circle for small societies. With min reliability, the e¢ cient network is either a circle or a line. As in classical models of network formation, e fficient networks may not be supported by private invesment decisions. We provide examples to show that the star may not be stable when the transformation functions is strictly convex. We also note that with perfect substitutes and perfect complements (when the e¢ cient network displays a very symmetric structure), the e¢ cient network can indeed be supported by private investments when the society is large.
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- Gilles, R.P. & Sarangi, S., 2004. "Social Network Formation with Consent," Discussion Paper 2004-70, Tilburg University, Center for Economic Research.
- Antoni Calvó-Armengol & Matthew O. Jackson, 2004.
"The Effects of Social Networks on Employment and Inequality,"
American Economic Review,
American Economic Association, vol. 94(3), pages 426-454, June.
- Matt Jackson, 2003. "The Effects of Social Networks on Employment and Inequality," Theory workshop papers 658612000000000032, UCLA Department of Economics.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
- Bloch, Francis & Jackson, Matthew, 2004. "The Formation of Networks with Transfers among Players," Working Papers 1194, California Institute of Technology, Division of the Humanities and Social Sciences.
- Matthew O. Jackson & Francis Bloch, 2004. "The Formation of Networks with Transfers among Players," Working Papers 2004.80, Fondazione Eni Enrico Mattei.
- Goyal, Sanjeev & Moraga-Gonzalez, Jose Luis, 2001. "R&D Networks," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 686-707, Winter.
- Goyal, S. & Moraga-Gonzalez, J.L., 2000. "R&D Networks," Econometric Institute Research Papers EI 2000-26A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Sanjeev Goyal & Jose Luis Moraga, 2000. "R&D Networks," Tinbergen Institute Discussion Papers 00-075/1, Tinbergen Institute.
- Jan K. Brueckner, 2006. "Friendship Networks," Journal of Regional Science, Wiley Blackwell, vol. 46(5), pages 847-865.
- Jan K. Brueckner, 2004. "Friendship Networks," Econometric Society 2004 North American Winter Meetings 184, Econometric Society.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
- Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
- Zenou, Yves & Calvó-Armengol, Antoni & Cabrales, Antonio, 2007. "Effort and synergies in network formation," UC3M Working papers. Economics we072515, Universidad Carlos III de Madrid. Departamento de Economía.
- Sanjeev Goyal & José Luis Moraga-González & Alexander Konovalov, 2008. "Hybrid R&D," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1309-1338, December.
- Goyal, S. & Konovalov, A. & Moraga-Gonzalez, J.L., 2003. "Hybrid R&D," Econometric Institute Research Papers EI 2003-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Sanjeev Goyal, 2005. "Strong and Weak Links," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 608-616, 04/05.
- Jacques Durieu & Hans Haller & Philippe Solal, 2004. "Nonspecific Networking," Game Theory and Information 0403005, EconWPA.
- Goyal, Sanjeev & Konovalov, Alexander & Moraga-Gonzalez, Jose Luis, 2003. "Hybrid R&D," Economics Discussion Papers 8863, University of Essex, Department of Economics.
- Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July. Full references (including those not matched with items on IDEAS)
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