Existence of Nash Networks and Partner Heterogeneity
In this paper, we pursue the work of H. Haller and al. (2005, ) and examine the existence of equilibrium networks, called Nash networks, in the noncooperative two-way flow model (Bala and Goyal, 2000, ) with partner heterogeneous agents. We show through an example that Nash networks do not always exist in such a context. We then restrict the payoff function, in order to find conditions under which Nash networks always exist. We give two properties : increasing differences and convexity in the first argument of the payoff function, that ensure the existence of Nash networks. It is worth noting that linear payoff functions satisfy the previous properties.
|Date of creation:||2011|
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- Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007.
"(Non-)existence and Scope of Nash Networks,"
Springer, vol. 31(3), pages 597-604, June.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- Andrea Galeotti, 2006. "One-way flow networks: the role of heterogeneity," Economic Theory, Springer, vol. 29(1), pages 163-179, September.
- Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006.
"Network formation with heterogeneous players,"
Games and Economic Behavior,
Elsevier, vol. 54(2), pages 353-372, February.
- 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.
- Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
- 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.
- Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Strict Nash networks and partner heterogeneity," International Journal of Game Theory, Springer, vol. 40(3), pages 515-525, August.
- Billand, Pascal & Bravard, Christophe, 2005. "A note on the characterization of Nash networks," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 355-365, May.
- repec:ebl:ecbull:v:3:y:2008:i:79:p:1-4 is not listed on IDEAS
- Christophe Bravard & Sudipta Sarangi & Pascal Billand, 2008. "A Note on Existence of Nash Networks in One-way Flow," Economics Bulletin, AccessEcon, vol. 3(79), pages 1-4.
- Pascal Billand & Christophe Bravard, 2005. "A Note on the Characterization of Nash Networks," Post-Print hal-00372481, HAL.
- Jean Derks & Martijn Tennekes, 2009. "A note on the existence of Nash networks in one-way flow models," Economic Theory, Springer, vol. 41(3), pages 515-522, December.
- Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer, vol. 5(3), pages 205-228.
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