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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 45 (2009)
Issue (Month): 9-10 (September)
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Convergence of equilibria Global interactions Local interactions Random interaction structure;
Other versions of this item:
- Ulrich Horst & Jos´e A. Scheinkman, 2006. "A Limit Theorem for Systems of Social Interactions," Levine's Bibliography 321307000000000177, UCLA Department of Economics.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Brock, William A & Durlauf, Steven N, 2001.
"Discrete Choice with Social Interactions,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(2), pages 235-60, April.
- repec:wop:humbsf:2001-29 is not listed on IDEAS
- 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.
- 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.
- 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:2001-21 is not listed on IDEAS
- Stephen Morris & Hyun Song Shin, 2003.
"Heterogeneity and Uniqueness in Interaction Games,"
Cowles Foundation Discussion Papers
1402, Cowles Foundation for Research in Economics, Yale University.
- 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.
- 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.
- Stephen Morris, . "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching," Penn CARESS Working Papers 1879bf5487d743edef7f32bb2, Penn Economics Department.
- Sun, Ruoyan, 2013. "Kinetics of jobs in multi-link cities with migration-driven aggregation process," Economic Modelling, Elsevier, vol. 30(C), pages 36-41.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.