Interactions with hidden complementarities
We consider a finite population simultaneous move game with heterogeneous interaction modes across different pairs of players. We allow for general interaction patterns, but restrict our analysis to games whose pure strategy Nash equilibrium conditions boil down to a set of piece-wise linear conditions, so that an equilibrium is a solution to a linear complementarity problem. We introduce a new class of games for which a suitable linear transformation of the original interaction matrix induces a game with complementarities. We provide general moderation conditions on the interaction matrix such that a game in this class has a unique Nash equilibrium, that we are able to characterize by means of a closed-form expression involving a generalized version of the Katz network measure of node centrality.
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- Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005.
"Who's Who in Networks. Wanted: the Key Player,"
NajEcon Working Paper Reviews
- 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.
- 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.
- Kolstad, Charles D & Mathiesen, Lars, 1987. "Necessary and Sufficient Conditions for Uniqueness of a Cournot Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 681-90, October.
- Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
- Vives, Xavier, 1990.
"Nash equilibrium with strategic complementarities,"
Journal of Mathematical Economics,
Elsevier, vol. 19(3), pages 305-321.
- George J. Borjas, 1997.
"To Ghetto or Not to Ghetto: Ethnicity and Residential Segregation,"
NBER Working Papers
6176, National Bureau of Economic Research, Inc.
- Borjas, George J., 1998. "To Ghetto or Not to Ghetto: Ethnicity and Residential Segregation," Journal of Urban Economics, Elsevier, vol. 44(2), pages 228-253, September.
- Bamon, Rodrigo & Fraysse, Jean, 1985. "Existence of Cournot Equilibrium in Large Markets," Econometrica, Econometric Society, vol. 53(3), pages 587-97, May.
- Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
- Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2009.
CEPR Discussion Papers
7293, C.E.P.R. Discussion Papers.
- Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2009. "Delinquent Networks," CReAM Discussion Paper Series 0912, Centre for Research and Analysis of Migration (CReAM), Department of Economics, University College London.
- Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2009. "Delinquent Networks," IZA Discussion Papers 4122, Institute for the Study of Labor (IZA).
- Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
- Antoni Calvó-Armengol & Joan de Martí, 2007. "Communication Networks: Knowledge and Decisions," American Economic Review, American Economic Association, vol. 97(2), pages 86-91, May.
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