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.
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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.:
- 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.
- Ambec, S. & Sprumont, Y., 2000. "Sharing a River," Papers 00-06, Laval - Recherche en Energie.
- Ambec, Stefan & Sprumont, Yves, 2000. "Sharing a River," Cahiers de recherche 0006, GREEN.
- Nizar Allouch, 2012.
"On the Private Provision of Public Goods on Networks,"
689, Queen Mary University of London, School of Economics and Finance.
- 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 2012.40, Fondazione Eni Enrico Mattei.
- Ballester, Coralio & Calvó-Armengol, Antoni, 2010. "Interactions with hidden complementarities," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 397-406, November.
- 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.
- 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.
- Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2004.
"Who's Who in Networks. Wanted: The Key Player,"
178, Barcelona Graduate School of Economics.
- 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 Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008.
Economics Working Papers
ECO2008/07, European University Institute.
- B. Curtis Eaton, 2004. "The elementary economics of social dilemmas," Canadian Journal of Economics, Canadian Economics Association, vol. 37(4), pages 805-829, November.
- Yann Rébillé & Lionel Richefort, 2012. "Sharing Water from many Rivers," Working Papers hal-00678997, HAL.
- Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
- 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.
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