Two-way Flow Networks with Small Decay
The set of equilibrium networks in the two-way flow model of network formation (Bala and Goyal, 2000) is very sensitive to the introduction of decay. Even if decay is small enough so that equilibrium networks are minimal, the set of equilibrium architectures becomes much richer, especially when the benefit functions are nonlinear. However, not much is known about these architectures. In this paper we remedy this gap in the literature. We characterize the equilibrium architectures. Moreover, we show results on the relative stability of different types of architectures. Three of the results are that (i) at most one players receives multiple links, (ii) the absolute diameter of equilibrium networks can be arbitrarily large, and (iii) large (small) diameter networks are relatively stable under concave (convex) benefit functions.
|Date of creation:||Nov 2009|
|Date of revision:|
|Contact details of provider:|| Postal: P.O. Box 80125, NL-3508 TC Utrecht|
Phone: +31 30 253 9800
Fax: +31 30 253 7373
Web page: http://www.uu.nl/EN/faculties/leg/organisation/schools/schoolofeconomicsuse/Pages/default.aspx
More information through EDIRC
|Order Information:|| Email: |
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
- Jurjen Kamphorst & Gerard van der Laan, 2004.
"Network Formation under Heterogeneous Costs: The Multiple Group Model,"
Tinbergen Institute Discussion Papers
04-006/1, Tinbergen Institute.
- Jurjen Kamphorst & Gerard Van Der Laan, 2007. "Network Formation Under Heterogeneous Costs: The Multiple Group Model," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 599-635.
- Cohen, Wesley M & Levinthal, Daniel A, 1989. "Innovation and Learning: The Two Faces of R&D," Economic Journal, Royal Economic Society, vol. 99(397), pages 569-96, September.
- Bloch, Francis & Dutta, Bhaskar, 2005.
"Communication Networks with Endogenous Link Strength,"
The Warwick Economics Research Paper Series (TWERPS)
723, University of Warwick, Department of Economics.
- Bloch, Francis & Dutta, Bhaskar, 2009. "Communication networks with endogenous link strength," Games and Economic Behavior, Elsevier, vol. 66(1), pages 39-56, May.
- Francis Bloch & Bhaskar Dutta, 2008. "Communication networks with endogeneous link strength," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 08-15, Indian Statistical Institute, New Delhi, India.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- Filippo VERGARA CAFFARELLI, 2004. "Non-Cooperative Network Formation with Network Maintenance Costs," Economics Working Papers ECO2004/18, European University Institute.
- Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
- Buechel, Berno, 2011. "Network formation with closeness incentives," Center for Mathematical Economics Working Papers 395, Center for Mathematical Economics, Bielefeld University.
- Sudipta Sarangi & Pascal Billand & Christophe Bravard, . "Heterogeneity in Nash Networks," Departmental Working Papers 2006-18, Department of Economics, Louisiana State University.
- Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006.
"Network formation with heterogeneous players,"
Games and Economic Behavior,
Elsevier, vol. 54(2), pages 353-372, February.
When requesting a correction, please mention this item's handle: RePEc:use:tkiwps:0934. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marina Muilwijk)
If references are entirely missing, you can add them using this form.