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"Contagion''

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  • Stephen Morrs

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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Bibliographic Info

Paper provided by University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences in its series CARESS Working Papres with number 97-01.

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Handle: RePEc:wop:pennca:97-01

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  1. George Mailath & Larry Samuelson & Avner Shaked, 1994. "Evolution and Endogenous Interactions," Game Theory and Information 9410003, EconWPA.
  2. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January.
  3. George J. Mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," Penn CARESS Working Papers 65b8832286a695ab9adcaad9f, Penn Economics Department.
  4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  5. 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, January.
  6. Sugden, Robert, 1995. "The coexistence of conventions," Journal of Economic Behavior & Organization, Elsevier, vol. 28(2), pages 241-256, October.
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Cited by:
  1. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
  2. Sebastian Edwards, 2001. "Does the Current Account Matter?," NBER Working Papers 8275, National Bureau of Economic Research, Inc.
  3. Sandholm,W.H., 2001. "Pigouvian pricing and stochastic evolutionary implementation," Working papers 16, Wisconsin Madison - Social Systems.
  4. 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.
  5. Mary Burke & Gary Fournier, 2005. "The Emergence of Local Norms in Networks," Computing in Economics and Finance 2005 299, Society for Computational Economics.
  6. Franklin Allen & Douglas Gale, 2003. "Financial Intermediaries and Markets," Center for Financial Institutions Working Papers 00-44, Wharton School Center for Financial Institutions, University of Pennsylvania.
  7. Michael Chwe, 2006. "Statistical Game Theory," Theory workshop papers 815595000000000004, UCLA Department of Economics.
  8. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, David K. Levine.
  9. Martin Shubik & Thomas Quint, 2004. "On Local and Network Games," Yale School of Management Working Papers ysm361, Yale School of Management.
  10. Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer, vol. 28(3), pages 559-584, 08.
  11. Allen wilhite, 2005. "PD Games on Networks," Computing in Economics and Finance 2005 20, Society for Computational Economics.
  12. 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.

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