A Limit Theorem for Systems of Social Interactions
In this paper, we establish a convergence result for equilibria in systems of social interactions with many locally and globally interacting players. Assuming spacial homogeneity and that interactions between different agents are not too strong, we show that equilibria of systems with finitely many players converge to the unique equilibrium of a benchmark system with infinitely many agents. We prove convergence of individual actions and of average behavior. Our results also apply to a class of interaction games.
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- Horst, Ulrich & Scheinkman, Jose A., 2006.
"Equilibria in systems of social interactions,"
Journal of Economic Theory,
Elsevier, vol. 130(1), pages 44-77, September.
- U. Horst & Jose A. Scheinkman, 2010. "Equilibria in Systems of Social Interactions," Levine's Working Paper Archive 506439000000000119, David K. Levine.
- J. Scheinkman & U. Horst, 2003. "Equilibria in Systems of Social Interactions," Princeton Economic Theory Working Papers d5a39039d26e0b08775b915bf, David K. Levine.
- Brock, William A & Durlauf, Steven N, 2001.
"Discrete Choice with Social Interactions,"
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Wiley Blackwell, vol. 68(2), pages 235-60, April.
- Stephen Morris, .
""Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching'',"
CARESS Working Papres
97-02, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Stephen Morris, 1997. "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction, and Random Matching," Research in Economics 97-08-072e, Santa Fe Institute.
- Stephen Morris, . "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching," Penn CARESS Working Papers 1879bf5487d743edef7f32bb2, Penn Economics Department.
- Edward L. Glaeser & Jose Scheinkman, 2000.
NBER Working Papers
8053, National Bureau of Economic Research, Inc.
- Edward L. Glaeser & Jose A. Scheinkman, 2001. "Non-Market Interactions," Harvard Institute of Economic Research Working Papers 1914, Harvard - Institute of Economic Research.
- Stephen Morris & Hyun Song Shin, 2004.
"Heterogeneity and Uniqueness in Interaction Games,"
Yale School of Management Working Papers
ysm341, Yale School of Management.
- Föllmer, Hans & Horst, Ulrich, 2001.
"Convergence of locally and globally interacting Markov chains,"
Stochastic Processes and their Applications,
Elsevier, vol. 96(1), pages 99-121, November.
- Föllmer, Hans & Horst, Ulrich, 2001. "Convergence of locally and globally interacting Markov chains," SFB 373 Discussion Papers 2001,21, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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