Strategic Interaction and Networks
This paper brings a general network analysis to a wide class of economic games. A network, or interaction matrix, tells who directly interacts with whom. A major challenge is determining how network structure shapes overall outcomes. We have a striking result. Equilibrium conditions depend on a single number: the lowest eigenvalue of a network matrix. Combining tools from potential games, optimization, and spectral graph theory, we study games with linear best replies and characterize the Nash and stable equilibria for any graph and for any impact of players’ actions. When the graph is sufficiently absorptive (as measured by this eigenvalue), there is a unique equilibrium. When it is less absorptive, stable equilibria always involve extreme play where some agents take no actions at all. This paper is the first to show the importance of this measure to social and economic outcomes, and we relate it to different network link patterns.
|Date of creation:||2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (514) 987-8161
Web page: http://www.cirpee.org/
More information through EDIRC
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.:
- Timothy G. Conley & Christopher R. Udry, 2005.
"Learning about a new technology: pineapple in Ghana,"
Federal Reserve Bank of San Francisco.
- Timothy G. Conley & Christopher R. Udry, 2010. "Learning about a New Technology: Pineapple in Ghana," American Economic Review, American Economic Association, vol. 100(1), pages 35-69, March.
- Conley, T.G. & Udry, C.R., 2000. "Learning about a New Technology: Pineapple in Ghana," Papers 817, Yale - Economic Growth Center.
- Manski, Charles F, 1993.
"Identification of Endogenous Social Effects: The Reflection Problem,"
Review of Economic Studies,
Wiley Blackwell, vol. 60(3), pages 531-42, July.
- Manski, C.F., 1991. "Identification of Endogenous Social Effects: the Reflection Problem," Working papers 9127, Wisconsin Madison - Social Systems.
- Alejandro Gaviria & Steven Raphael, 2001. "School-Based Peer Effects And Juvenile Behavior," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 257-268, May.
- Mohamed Belhaj & Yann Bramoullé & Frédéric Deroian, 2012.
"Network Games under Strategic Complementarities,"
AMSE Working Papers
1225, Aix-Marseille School of Economics, Marseille, France.
- David Card & Laura Giuliano, 2011.
"Peer Effects and Multiple Equilibria in the Risky Behavior of Friends,"
NBER Working Papers
17088, National Bureau of Economic Research, Inc.
- David Card & Laura Giuliano, 2013. "Peer Effects and Multiple Equilibria in the Risky Behavior of Friends," The Review of Economics and Statistics, MIT Press, vol. 95(4), pages 1130-1149, October.
- Peter Kooreman & Adriaan R. Soetevent, 2007.
"A discrete-choice model with social interactions: with an application to high school teen behavior,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 22(3), pages 599-624.
- Soetevent, Adriaan R. & Kooreman, Peter, 2004. "A discrete choice model with social interactions; with an application to high school teen behavior," CCSO Working Papers 200401, University of Groningen, CCSO Centre for Economic Research.
- Esther Duflo & Emmanuel Saez, 2000.
"Participation and Investment Decisions in a Retirement Plan: The Influence of Colleagues' Choices,"
NBER Working Papers
7735, National Bureau of Economic Research, Inc.
- Duflo, Esther & Saez, Emmanuel, 2002. "Participation and investment decisions in a retirement plan: the influence of colleagues' choices," Journal of Public Economics, Elsevier, vol. 85(1), pages 121-148, July.
- repec:ner:tilbur:urn:nbn:nl:ui:12-284131 is not listed on IDEAS
- Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014.
"Strategic Interaction and Networks,"
American Economic Review,
American Economic Association, vol. 104(3), pages 898-930, March.
- Daiji Kawaguchi, 2004.
"Peer effects on substance use among American teenagers,"
Journal of Population Economics,
Springer, vol. 17(2), pages 351-367, 06.
- Daiji Kawaguchi, 2002. "Peer Effects on Substance Use among American Teenagers," ISER Discussion Paper 0567, Institute of Social and Economic Research, Osaka University.
- 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, vol. 11(3), pages 199-216, November.
- Adam B. Jaffe & Manuel Trajtenberg & Rebecca Henderson, 1992.
"Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations,"
NBER Working Papers
3993, National Bureau of Economic Research, Inc.
- Jaffe, Adam B & Trajtenberg, Manuel & Henderson, Rebecca, 1993. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 577-98, August.
- Jaffe, A.B. & Trajtenberg, M., 1992. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," Papers 14-92, Tel Aviv.
- Gary S. Becker, 1968.
"Crime and Punishment: An Economic Approach,"
Journal of Political Economy,
University of Chicago Press, vol. 76, pages 169.
- James D. Adams, 2001.
"Comparative Localization of Academic and Industrial Spillovers,"
NBER Working Papers
8292, National Bureau of Economic Research, Inc.
- James D. Adams, 2002. "Comparative localization of academic and industrial spillovers," Journal of Economic Geography, Oxford University Press, vol. 2(3), pages 253-278, July.
- Kooreman, P. & Soetevent, A., 2007. "A discrete choice model with social interactions; with an application to high school teen behavior," Other publications TiSEM 39fff234-271a-4058-9912-7, School of Economics and Management.
- Mohamed Belhaj & Yann Bramoullé & Frédéric Deroïan, 2012. "Network Games under Strategic Complementarities," Working Papers halshs-00793439, HAL.
- Trogdon, Justin G. & Nonnemaker, James & Pais, Joanne, 2008. "Peer effects in adolescent overweight," Journal of Health Economics, Elsevier, vol. 27(5), pages 1388-1399, September.
- Rauch, J E & Casella, Alessandra, 2001.
"Overcoming Informational Barriers to International Resource Allocation: Prices and Ties,"
University of California at San Diego, Economics Working Paper Series
qt2k8626fr, Department of Economics, UC San Diego.
- James E. Rauch & Alessandra Casella, 2003. "Overcoming Informational Barriers to International Resource Allocation: Prices and Ties," Economic Journal, Royal Economic Society, vol. 113(484), pages 21-42, January.
- Patrick Bayer & Randi Hjalmarsson & David Pozen, 2007. "Building Criminal Capital behind Bars: Peer Effects in Juvenile Corrections," NBER Working Papers 12932, National Bureau of Economic Research, Inc.
When requesting a correction, please mention this item's handle: RePEc:lvl:lacicr:1018. 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: (Johanne Perron)
If references are entirely missing, you can add them using this form.