Existence of Nash Networks and Partner Heterogeneity
AbstractIn 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.
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Bibliographic InfoPaper provided by Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure in its series Working Papers with number 1111.
Date of creation: 2011
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Nash networks; two-way flow models; partner heterogeneity;
Other versions of this item:
- Billand, Pascal & Bravard, Christophe & Sarangi, Sudipta, 2012. "Existence of Nash networks and partner heterogeneity," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 152-158.
- Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Existence of Nash Networks and Partner Heterogeneity," Post-Print halshs-00574277, HAL.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-03-19 (All new papers)
- NEP-GTH-2011-03-19 (Game Theory)
- NEP-ORE-2011-03-19 (Operations Research)
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.:
- Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007.
"(Non-)existence and Scope of Nash Networks,"
Springer, vol. 31(3), pages 597-604, June.
- 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.
- Sudipta Sarangi & Pascal Billand & Christophe Bravard, .
"Existence of Nash Networks in One-Way Flow Models,"
Departmental Working Papers
2006-05, Department of Economics, Louisiana State University.
- Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
- Andrea Galeotti, 2006.
"One-way flow networks: the role of heterogeneity,"
Springer, vol. 29(1), pages 163-179, September.
- Bloch, Francis & Dutta, Bhaskar, 2009.
"Communication networks with endogenous link strength,"
Games and Economic Behavior,
Elsevier, vol. 66(1), pages 39-56, May.
- 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.
- 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.
- Andrea Galeotti & Sanjeev Goyal & Jurjen Kamphorst, 2003.
"Network Formation with Heterogeneous Players,"
Economics Discussion Papers
562, University of Essex, Department of Economics.
- Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
- Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
- 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
- Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer, vol. 5(3), pages 205-228.
- 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 & Sudipta Sarangi, 2011. "Strict Nash networks and partner heterogeneity," International Journal of Game Theory, Springer, vol. 40(3), pages 515-525, August.
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