Asymmetric flow networks
This paper provides a new model of network formation that bridges the gap between the two benchmark models by Bala and Goyal, the one-way flow model, and the two-way flow model, and includes both as particular extreme cases. As in both benchmark models, in what we call an "asymmetric flow" network a link can be initiated unilaterally by any player with any other, and the flow through a link towards the player who supports it is perfect. Unlike those models, in the opposite direction there is friction or decay. When this decay is complete there is no flow and this corresponds to the one-way flow model. The limit case when the decay in the opposite direction (and asymmetry) disappears, corresponds to the two-way flow model. We characterize stable and strictly stable architectures for the whole range of parameters of this "intermediate" and more general model. We also prove the convergence of Bala and Goyal's dynamic model in this context.
|Date of creation:||22 Jun 2012|
|Date of revision:|
|Contact details of provider:|| Postal: Avenida Lehendakari Aguirre, 83, 48015 Bilbao|
Web page: http://www.ehu.es/fundamentosI/
More information through EDIRC
|Order Information:|| Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain|
References listed on IDEAS
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.:
- Matthew O. Jackson & Asher Wolinsky, 1994.
"A Strategic Model of Social and Economic Networks,"
1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- 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.
- Sanjeev Goyal, 2007.
"Introduction to Connections: An Introduction to the Economics of Networks
[Connections: An Introduction to the Economics of Networks]," Introductory Chapters, Princeton University Press.
- Jackson, Matthew O., 1998.
"The Evolution of Social and Economic Networks,"
1044, California Institute of Technology, Division of the Humanities and Social Sciences.
- Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 163-179, September.
- Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, june. pag.
- Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2007.
"Existence of Nash Networks in One-Way Flow Models,"
Discussion Papers of DIW Berlin
751, DIW Berlin, German Institute for Economic Research.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- Sanjeev Goyal & Fernando Vega-Redondo, 2003.
"Network Formation and Social Coordination,"
481, Queen Mary University of London, School of Economics and Finance.
- Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2003.
"Network Formation with Heterogeneous Players,"
Economics Discussion Papers
2996, University of Essex, Department of Economics.
- Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 205-228.
- Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
- Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(3), pages 515-522, December.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, june. pag.
- McBride, Michael, 2006. "Imperfect monitoring in communication networks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 97-119, January.
When requesting a correction, please mention this item's handle: RePEc:ehu:ikerla:8633. 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: (Alcira Macías Redondo)
If references are entirely missing, you can add them using this form.