Equilibrium Existence and Uniqueness In Network Games with Additive Preferences
A directed network game of imperfect strategic substitutes with heterogeneous players is analyzed. We consider concave additive separable utility functions that encompass the quasi-linear ones. It is found that pure strategy Nash equilibria verify a non-linear complementarity problem. By requiring appropriate concavity in the utility functions, the existence of an equilibrium point is shown and equilibrium uniqueness is established with a P -matrix. Then, it appears that previous ﬁndings on network structure and sparsity hold for many more games.
|Date of creation:||17 Sep 2012|
|Date of revision:|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00732962|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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.:
- Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005.
"Who's Who in Networks. Wanted: the Key Player,"
NajEcon Working Paper Reviews
- Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers 5329, C.E.P.R. Discussion Papers.
- Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2004. "Who's Who in Networks. Wanted: The Key Player," Working Papers 178, Barcelona Graduate School of Economics.
- Ambec, S. & Sprumont, Y., 2000.
"Sharing a River,"
00-06, Laval - Recherche en Energie.
- Ambec, Stefan & Sprumont, Yves, 2000. "Sharing a River," Cahiers de recherche 0006, GREEN.
- Ambec, S. & Sprumont, Y., 2000. "Sharing a River," Cahiers de recherche 2000-08, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- AMBEC, Steve & SPRUMONT, Yves, 2000. "Sharing a River," Cahiers de recherche 2000-08, Universite de Montreal, Departement de sciences economiques.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010.
Review of Economic Studies,
Oxford University Press, vol. 77(1), pages 218-244.
- Nizar Allouch, 2012.
"On the Private Provision of Public Goods on Networks,"
2012.40, Fondazione Eni Enrico Mattei.
- Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
- Nizar Allouch, 2012. "On the Private Provision of Public Goods on Networks," Working Papers 689, Queen Mary University of London, School of Economics and Finance.
- Yann Rébillé & Lionel Richefort, 2012. "Sharing Water from many Rivers," Working Papers hal-00678997, HAL.
- Wang, Qinan & Parlar, Mahmut, 1989. "Static game theory models and their applications in management science," European Journal of Operational Research, Elsevier, vol. 42(1), pages 1-21, September.
- Bloch, Francis & Zenginobuz, Unal, 2004.
"The Effect of Spillovers on the Provision of Local Public Goods,"
186, University Library of Munich, Germany, revised 05 Oct 2006.
- Francis Bloch & Unal Zenginobuz, 2007. "The effect of spillovers on the provision of local public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 199-216, November.
- B. Curtis Eaton, 2004. "The elementary economics of social dilemmas," Canadian Journal of Economics, Canadian Economics Association, vol. 37(4), pages 805-829, November.
- Ballester, Coralio & Calvó-Armengol, Antoni, 2010. "Interactions with hidden complementarities," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 397-406, November.
- Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
- Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-00732962. 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: (CCSD)
If references are entirely missing, you can add them using this form.