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Contagion

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  • Stephen Morris

Abstract

Each player in an infinite population interacts strategically with a finite subset of that population. Suppose each player's binary choice in each period is a best response to the population choices of the previous period. When can behaviour that is initially played by only a finite set of players spread to the whole population? This paper characterizes when such contagion is possible for arbitrary local interaction systems. Maximal contagion occurs when local interaction is sufficiently uniform and there is low neighbour growth, i.e. the number of players who can be reached in k steps does not grow exponentially in k.

Suggested Citation

  • Stephen Morris, 2000. "Contagion," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 57-78.
  • Handle: RePEc:oup:restud:v:67:y:2000:i:1:p:57-78.
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00121
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    References listed on IDEAS

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    Cited by:

    1. Hernández, Penélope & Muñoz-Herrera, Manuel & Sánchez, Ángel, 2013. "Heterogeneous network games: Conflicting preferences," Games and Economic Behavior, Elsevier, vol. 79(C), pages 56-66.
    2. Sebastian Edwards, 2002. "Does the Current Account Matter?," NBER Chapters,in: Preventing Currency Crises in Emerging Markets, pages 21-76 National Bureau of Economic Research, Inc.
    3. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
    4. Lee In Ho & Szeidl Adam & Valentinyi Akos, 2003. "Contagion and State Dependent Mutations," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-29, February.
    5. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
    6. Thomas Quint & Martin Shubik, 2003. "On Local and Network Games," Cowles Foundation Discussion Papers 1414, Cowles Foundation for Research in Economics, Yale University.
    7. Mary Burke & Gary Fournier, 2005. "The Emergence of Local Norms in Networks," Computing in Economics and Finance 2005 299, Society for Computational Economics.
    8. Teteryatnikova, Mariya, 2014. "Systemic risk in banking networks: Advantages of “tiered” banking systems," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 186-210.
    9. Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 559-584, August.
    10. Lee, In Ho & Szeidl, Adam & Valentinyi, Akos, 2000. "Contagion and state dependent mutations," Discussion Paper Series In Economics And Econometrics 0027, Economics Division, School of Social Sciences, University of Southampton.
    11. Ianni, Antonella & Corradi, Valentina, 2000. "Consensus, contagion and clustering in a space-time model of public opinion formation," Discussion Paper Series In Economics And Econometrics 0009, Economics Division, School of Social Sciences, University of Southampton.
    12. Franklin Allen & Douglas Gale, 2004. "Financial Intermediaries and Markets," Econometrica, Econometric Society, vol. 72(4), pages 1023-1061, July.
    13. Duffy, John, 2006. "Agent-Based Models and Human Subject Experiments," Handbook of Computational Economics,in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 19, pages 949-1011 Elsevier.
    14. Allen wilhite, 2005. "PD Games on Networks," Computing in Economics and Finance 2005 20, Society for Computational Economics.
    15. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
    16. Selman Erol & Rakesh Vohra, 2014. "Network Formation and Systemic Risk," PIER Working Paper Archive 14-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    17. Michael Chwe, 2006. "Statistical Game Theory," Theory workshop papers 815595000000000004, UCLA Department of Economics.

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