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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. 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.
  2. 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.
  3. Nicholas Bloom & Mark Schankerman & John Van Reenen, 2007. "Identifying Technology Spillovers and Product Market Rivalry," NBER Working Papers 13060, National Bureau of Economic Research, Inc.
  4. 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.
  5. Daiji Kawaguchi, 2004. "Peer effects on substance use among American teenagers," Journal of Population Economics, Springer, vol. 17(2), pages 351-367, 06.
  6. Yann Bramoullé & Rachel Kranton & Martin D'Amours, 2010. "Strategic Interaction and Networks," Cahiers de recherche 1018, CIRPEE.
  7. 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.
  8. 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.
  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. Mohamed Belhaj & Yann Bramoullé & Frédéric Deroïan, 2012. "Network Games under Strategic Complementarities," Working Papers halshs-00793439, HAL.
  11. 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.
  12. repec:ner:tilbur:urn:nbn:nl:ui:12-284131 is not listed on IDEAS
  13. 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.
  14. 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, Tilburg University, School of Economics and Management.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
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