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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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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. 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. S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
   
   • Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January.
3. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
   
   • Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
4. George J. mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," ELSE working papers 030, ESRC Centre on Economics Learning and Social Evolution.
   
   • Avner Shaked & Larry Samuelson & George J. Mailath, 1997. "Correlated equilibria and local interactions (*)," Economic Theory, Springer, vol. 9(3), pages 551-556.
   • 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.
   • George J. Mailath & Larry Samuelson & Avner Shaked, . ""Correlated Equilibria and Local Interactions''," CARESS Working Papres 95-16, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
   • George J. Mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," Penn CARESS Working Papers 65b8832286a695ab9adcaad9f, Penn Economics Department.
5. Sugden, Robert, 1995. "The coexistence of conventions," Journal of Economic Behavior & Organization, Elsevier, vol. 28(2), pages 241-256, October.
6. repec:att:wimass:9426 is not listed on IDEAS
7. George Mailath & Larry Samuelson & Avner Shaked, 1994. "Evolution and Endogenous Interactions," Game Theory and Information 9410003, EconWPA.
   

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Cited by:

1. Sebastian Edwards, 2001. "Does the Current Account Matter?," NBER Working Papers 8275, National Bureau of Economic Research, Inc.
   
   • 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.
2. Dean Corbae & John Duffy, 2003. "Experiments with Network Formation," Levine's Working Paper Archive 666156000000000319, David K. Levine.
   
   • Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
   • John Duffy & Dean Corbae, 2006. "Experiments with Network Formation," Working Papers 292, University of Pittsburgh, Department of Economics, revised Aug 2007.
3. Franklin Allen & Douglas Gale, 2004. "Financial Intermediaries and Markets," Econometrica, Econometric Society, vol. 72(4), pages 1023-1061, 07.
   
   • 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.
4. Yannis M. Ioannides, 2004. "Topologies Of Social Interactions," Econometric Society 2004 North American Winter Meetings 287, Econometric Society.
   
   • Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer, vol. 28(3), pages 559-584, 08.
   • Yannis Ioannides, 2001. "Topologies of Social Interactions," Discussion Papers Series, Department of Economics, Tufts University 0104, Department of Economics, Tufts University.
5. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, David K. Levine.
   
   • Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
   • Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
6. Felipe Morandé & Matías Tapia, 2002. "Exchange Rate Policy in Chile: From the Band to Floating and Beyond," Working Papers wp192, University of Chile, Department of Economics.
   
   • Felipe G. Morandé & Matías Tapia, 2002. "Exchange Rate Policy in Chile: From the Band to Floating and Beyond," Working Papers Central Bank of Chile 152, Central Bank of Chile.
7. Sandholm,W.H., 2001. "Pigouvian pricing and stochastic evolutionary implementation," Working papers 16, Wisconsin Madison - Social Systems.
8. Mary Burke & Gary Fournier, 2005. "The Emergence of Local Norms in Networks," Computing in Economics and Finance 2005 299, Society for Computational Economics.
   
   • Mary A. Burke & Gary M. Fournier & Kislaya Prasad, 2006. "The Emergence of Local Norms in Networks," Working Papers wp2006_02_01, Department of Economics, Florida State University.
9. Michael Chwe, 2006. "Statistical Game Theory," Theory workshop papers 815595000000000004, UCLA Department of Economics.
10. 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.
    
    • John Duffy, 2004. "Agent-Based Models and Human Subject Experiments," Computational Economics 0412001, EconWPA.
11. Martin Shubik & Thomas Quint, 2004. "On Local and Network Games," Yale School of Management Working Papers ysm361, Yale School of Management.
    
    • Thomas Quint & Martin Shubik, 2003. "On Local and Network Games," Cowles Foundation Discussion Papers 1414, Cowles Foundation for Research in Economics, Yale University.
12. Allen wilhite, 2005. "PD Games on Networks," Computing in Economics and Finance 2005 20, Society for Computational Economics.
13. 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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