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Strategic Interaction and Networks


  • Yann Bramoull?
  • Rachel Kranton
  • Martin D'Amours


Geography and social links shape economic interactions. In industries, schools, and markets, the entire network determines outcomes. This paper analyzes a large class of games and obtains a striking result. Equilibria depend on a single network measure: the lowest eigenvalue. This paper is the first to uncover the importance of the lowest eigenvalue to economic and social outcomes. It captures how much the network amplifies agents' actions. The paper combines new tools?potential games, optimization, and spectral graph theory?to solve for all Nash and stable equilibria and applies the results to R&D, crime, and the econometrics of peer effects.

Suggested Citation

  • 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.
  • Handle: RePEc:aea:aecrev:v:104:y:2014:i:3:p:898-930 Note: DOI: 10.1257/aer.104.3.898

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    References listed on IDEAS

    1. 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.
    2. 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.
    3. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 531-542.
    4. 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.
    5. Belhaj, Mohamed & Bramoullé, Yann & Deroïan, Frédéric, 2014. "Network games under strategic complementarities," Games and Economic Behavior, Elsevier, vol. 88(C), pages 310-319.
    6. Nicholas Bloom & Mark Schankerman & John Van Reenen, 2013. "Identifying Technology Spillovers and Product Market Rivalry," Econometrica, Econometric Society, vol. 81(4), pages 1347-1393, July.
    7. 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.
    8. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters,in: Essays in the Economics of Crime and Punishment, pages 1-54 National Bureau of Economic Research, Inc.
    9. Patrick Bayer & Randi Hjalmarsson & David Pozen, 2009. "Building Criminal Capital behind Bars: Peer Effects in Juvenile Corrections," The Quarterly Journal of Economics, Oxford University Press, vol. 124(1), pages 105-147.
    10. 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.
    11. 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.
    12. Daiji Kawaguchi, 2004. "Peer effects on substance use among American teenagers," Journal of Population Economics, Springer;European Society for Population Economics, vol. 17(2), pages 351-367, June.
    13. 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.
    14. 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.
    15. 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.
    16. Dirk Bergemann & Stephen Morris, 2009. "Robust Implementation in Direct Mechanisms," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1175-1204.
    17. Adam B. Jaffe & Manuel Trajtenberg & Rebecca Henderson, 1993. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 577-598.
    18. 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.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification


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