A Limit Theorem for Systems of Social Interactions
AbstractIn 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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Bibliographic InfoPaper provided by UCLA Department of Economics in its series Levine's Bibliography with number 321307000000000177.
Date of creation: 15 Jul 2006
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Other versions of this item:
- Horst, Ulrich & Scheinkman, José A., 2009. "A limit theorem for systems of social interactions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 609-623, September.
- NEP-ALL-2006-07-21 (All new papers)
- NEP-CDM-2006-07-21 (Collective Decision-Making)
- NEP-NET-2006-07-21 (Network Economics)
- NEP-SOC-2006-07-21 (Social Norms & Social Capital)
- NEP-URE-2006-07-21 (Urban & Real Estate Economics)
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- 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.
- repec:wop:humbsf:2001-29 is not listed on IDEAS
- Stephen Morris, .
"Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching,"
Penn CARESS Working Papers
1879bf5487d743edef7f32bb2, Penn Economics Department.
- 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''," CARESS Working Papres 97-02, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Brock,W.A. & Durlauf,S.N., 2000.
"Discrete choice with social interactions,"
7, Wisconsin Madison - Social Systems.
- U. Horst & Jose A. Scheinkman, 2010.
"Equilibria in Systems of Social Interactions,"
Levine's Working Paper Archive
506439000000000119, David K. Levine.
- 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.
- repec:wop:humbsf:2001-21 is not listed on IDEAS
- 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.
- Horst, Ulrich & Scheinkman, Jose A., 2006.
"Equilibria in systems of social interactions,"
Journal of Economic Theory,
Elsevier, vol. 130(1), pages 44-77, September.
- J. Scheinkman & U. Horst, 2003. "Equilibria in Systems of Social Interactions," Princeton Economic Theory Working Papers d5a39039d26e0b08775b915bf, David K. Levine.
- U. Horst & Jose A. Scheinkman, 2010. "Equilibria in Systems of Social Interactions," Levine's Working Paper Archive 506439000000000119, David K. Levine.
- Alberto Bisin & Thierry Verdier, 2010. "The Economics of Cultural Transmission and Socialization," NBER Working Papers 16512, National Bureau of Economic Research, Inc.
- Sun, Ruoyan, 2013. "Kinetics of jobs in multi-link cities with migration-driven aggregation process," Economic Modelling, Elsevier, vol. 30(C), pages 36-41.
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