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Strategic Interaction and Networks

  • Yann Bramoullé
  • Rachel Kranton
  • Martin D'Amours

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.

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Paper provided by CIRPEE in its series Cahiers de recherche with number 1018.

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Date of creation: 2010
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Handle: RePEc:lvl:lacicr:1018
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  1. Daiji Kawaguchi, 2002. "Peer Effects on Substance Use among American Teenagers," ISER Discussion Paper 0567, Institute of Social and Economic Research, Osaka University.
  2. 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.
  3. Nick Bloom & Mark Schankerman & John Van Reenen, 2005. "Identifying technology spillovers and product market rivalry," LSE Research Online Documents on Economics 780, London School of Economics and Political Science, LSE Library.
  4. 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.
  5. Mohamed Belhaj & Yann Bramoullé & Frédéric Deroïan, 2012. "Network Games under Strategic Complementarities," Working Papers halshs-00793439, HAL.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. James D. Adams, 2001. "Comparative Localization of Academic and Industrial Spillovers," NBER Working Papers 8292, National Bureau of Economic Research, Inc.
  15. 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.
  16. 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.
  17. Bloch, Francis & Zenginobuz, Unal, 2004. "The Effect of Spillovers on the Provision of Local Public Goods," MPRA Paper 186, University Library of Munich, Germany, revised 05 Oct 2006.
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