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Abstract

This paper studies how a behavior spreads in a population. We consider a network of interacting agents whose actions are determined by the actions of their neighbors, according to a simple diffusion rule. We find, using a mean-field approach, the threshold for the spreading rate above which the behavior spreads and becomes persistent in the population. This threshold crucially depends on the connectivity distribution of the social network and on specific features of the diffusion rule.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 62 (2008)
Issue (Month): 2 (March)
Pages: 573-590

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Handle: RePEc:eee:gamebe:v:62:y:2008:i:2:p:573-590

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Web page: http://www.elsevier.com/locate/inca/622836

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Find related papers by JEL classification:

• C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

References

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1. Edward L. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," NBER Working Papers 5026, National Bureau of Economic Research, Inc.
   
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   • Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
5. Dunia L�pez-Pintado, 2008. "The Spread of Free-Riding Behavior in a Social Network," Eastern Economic Journal, Palgrave Macmillan, vol. 34(4), pages 464-479.
   
   • Dunia Lopez Pintado, 2007. "The Spread of Free-Riding Behavior in a Social Network," UFAE and IAE Working Papers 718.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
6. Matthew O. Jackson & Brian W. Rogers, 2007. "Relating Network Structure to Diffusion Properties through Stochastic Dominance," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 6.
7. Matthew O. Jackson & Leeat Yariv, 2007. "Diffusion of Behavior and Equilibrium Properties in Network Games," American Economic Review, American Economic Association, vol. 97(2), pages 92-98, May.
   
   • 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.
8. Michel BenaÔm & J–rgen W. Weibull, 2003. "Deterministic Approximation of Stochastic Evolution in Games," Econometrica, Econometric Society, vol. 71(3), pages 873-903, 05.
   
   • Benaim, M. & Weibull, J.W., 2000. "Deterministic Approximation of Stochastic Evolution in Games," Research Institute of Industrial Economics Working Papers 534, Research Institute of Industrial Economics (IFN).
   • Benaim, Michel & Weibull, Jörgen W., 2000. "Deterministic Approximation of Stochastic Evolution in Games," Working Paper Series 534, Research Institute of Industrial Economics, revised 30 Oct 2001.
9. H. Peyton Young & Mary A. Burke, 2001. "Competition and Custom in Economic Contracts: A Case Study of Illinois Agriculture," American Economic Review, American Economic Association, vol. 91(3), pages 559-573, June.

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