Convexity and complementarity in network formation. Implications for the structure of pairwise stable networks
This paper studies the properties of convexity (concavity) and strategic complements (substitutes) in network formation and the implications for the structure of pairwise stable networks. First, different definitions of convexity (concavity) in own links from the literature are put into the context of diminishing marginal utility of own links. Second, it is shown that there always exists a pairwise stable network as long as the utility function of each player satisfies convexity in own links and strategic complements. For network societies with a profile of utility functions satisfying concavity in own links and strategic complements, a local uniqueness property of pairwise stable networks is derived. The results do neither require any specification on the utility function nor any other additional assumptions such as homogeneity.
|Date of creation:||16 Aug 2011|
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- Matthew O. Jackson & Francis Bloch, 2004.
"The Formation of Networks with Transfers among Players,"
2004.80, Fondazione Eni Enrico Mattei.
- 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.
- Goyal, S. & Joshi, S., 1999.
"Bilateralism and free trade,"
Econometric Institute Research Papers
EI 9953-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
- Subhadip Chakrabarti & Robert Gilles, 2007.
Review of Economic Design,
Springer;Society for Economic Design, vol. 11(1), pages 13-52, June.
- Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
- Matthew O. Jackson & Asher Wolinsky, 1995.
"A Strategic Model of Social and Economic Networks,"
1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
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