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Contagion

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Author Info
Morris, Stephen

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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 player 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. Copyright 2000 by The Review of Economic Studies Limited

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 67 (2000)
Issue (Month): 1 (January)
Pages: 57-78
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Handle: RePEc:bla:restud:v:67:y:2000:i:1:p:57-78

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References listed on IDEAS
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.:
  1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
  2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September. [Downloadable!] (restricted)
  3. George Mailath & Larry Samuelson & Avner Shaked, 1994. "Evolution and Endogenous Interactions," Game Theory and Information 9410003, EconWPA. [Downloadable!]
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  4. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January. [Downloadable!] (restricted)
  5. George J. Mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," CARESS Working Papres 97-6, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences. [Downloadable!]
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  3. Yannis M. Ioannides, 2004. "Topologies Of Social Interactions," Econometric Society 2004 North American Winter Meetings 287, Econometric Society. [Downloadable!]
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  4. Jackson, Matthew O. & Yariv, Leeat, 2006. "Diffusion of Behavior and Equilibrium Properties in Network Games," Working Papers 1264, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  5. Roger Lagunoff & Stacey L. Schreft, 1998. "A Model of Financial Fragility," Game Theory and Information 9803001, EconWPA, revised 30 Apr 1998. [Downloadable!]
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  6. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation, Yale University, revised Aug 2001. [Downloadable!]
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  18. Ianni, A. & Corradi, V., 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. [Downloadable!]
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