On the existence and uniqueness of pairwise stable networks
In this paper we show how externalities between links affect the existence and uniqueness of pairwise stable (PS) networks. For this we introduce the properties ordinal convexity (concavity) and ordinal strategic complements (substitutes) of utility functions on networks. It is shown that there exists at least one PS network if the profile of utility functions is ordinal convex and satisfies the ordinal strategic complements property. On the other hand, ordinal concavity and ordinal strategic substitutes are sufficient for some uniqueness properties of PS networks. Additionally, we elaborate on the relation of the link externality properties to definitions in the literature. Copyright Springer-Verlag 2013
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Volume (Year): 42 (2013)
Issue (Month): 1 (February)
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- Antoni Calvó-Armengol & Rahmi Ilkiliç, 2004.
"Pairwise-Stability and Nash Equilibria in Network Formation,"
182, Barcelona Graduate School of Economics.
- Antoni Calvó-Armengol & Rahmi İlkılıç, 2009. "Pairwise-stability and Nash equilibria in network formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 51-79, March.
- Antoni Calvó-Armengol & Rahmi Ilkiliç, 2005. "Pairwise-Stability and Nash Equilibria in Network Formation," Working Papers 2005.34, Fondazione Eni Enrico Mattei.
- Francis Bloch & Matthew Jackson, 2006. "Definitions of equilibrium in network formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 305-318, October.
- 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.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- Subhadip Chakrabarti & Robert P. Gilles, 2005.
Bonn Econ Discussion Papers
bgse28_2005, University of Bonn, Germany.
- 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.
- Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011.
"Local Spillovers, Convexity and the Strategic Substitutes Property in Networks,"
1110, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
- Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Local Spillovers, Convexity and the Strategic Substitutes Property in Networks," Post-Print halshs-00574265, HAL.
- Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Local Spillovers, Convexity and the Strategic Substitutes Property in Networks," Departmental Working Papers 2011-01, Department of Economics, Louisiana State University.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
- Gilles, R.P. & Sarangi, S., 2005.
"Stable Networks and Convex Payoffs,"
2005-84, Tilburg University, Center for Economic Research.
- Berno Buechel & Tim Hellmann, 2012.
"Under-connected and over-connected networks: the role of externalities in strategic network formation,"
Review of Economic Design,
Springer;Society for Economic Design, vol. 16(1), pages 71-87, March.
- Tim Hellmann & Berno Buechel, 2009. "Under-connected and Over-connected Networks," Working Papers 2009.38, Fondazione Eni Enrico Mattei.
- Buechel, Berno & Hellmann, Tim, 2011. "Under-connected and over-connected networks," Center for Mathematical Economics Working Papers 400, Center for Mathematical Economics, Bielefeld University.
- Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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