Social distance, heterogeneity and social interactions
AbstractA crucial ingredient in social interaction models is the structure of peer groups, which link individuals with similar characteristics. We propose and study a dynamic binary choice model with social interactions in which heterogeneity of peer group effects is modeled introducing diversity in individual characteristics and linking pairwise influences to a social distance between individuals. Our framework allows for mimetic as well as anti-mimetic interactions and a heterogeneous structure of peer groups across individuals. Dynamic equilibria are studied in the limit when the number of agents is large. We show that the model exhibits multiple equilibria resulting from conflicts between various group pressures the individuals are subjected to. We study in particular the correlation in the population at equilibrium between the characteristics of the agents and their decisions: this quantity has an interesting empirical interpretation and solves a simple analytical equation when the number of agents is large. Finally we discuss the empirical content of the model and present a consistent estimator for the parameter describing which is consistent for any typical population regardless of the structure of individual characteristics.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 46 (2010)
Issue (Month): 4 (July)
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Web page: http://www.elsevier.com/locate/jmateco
Discrete choice models Social interactions Hopfield model Disordered systems Random utility models Limit theorems Neural networks Heterogeneity;
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.:
- Kirman, Alan P., 1983. "Communication in markets : A suggested approach," Economics Letters, Elsevier, vol. 12(2), pages 101-108.
- Jones, Andrew M., 1994. "Health, addiction, social interaction and the decision to quit smoking," Journal of Health Economics, Elsevier, vol. 13(1), pages 93-110, March.
- Becker, Gary S, 1974.
"A Theory of Social Interactions,"
Journal of Political Economy,
University of Chicago Press, vol. 82(6), pages 1063-93, Nov.-Dec..
- Matthew O. Jackson & Brian W. Rogers, 2005.
"The Economics of Small Worlds,"
Journal of the European Economic Association,
MIT Press, vol. 3(2-3), pages 617-627, 04/05.
- Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Game Theory and Information 0503004, EconWPA.
- Jackson, Matthew O. & Rogers, Brian W., 2005. "The economics of small worlds," Working Papers 1214, California Institute of Technology, Division of the Humanities and Social Sciences.
- D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
- Glaeser, Edward L & Sacerdote, Bruce & Scheinkman, Jose A, 1996.
"Crime and Social Interactions,"
The Quarterly Journal of Economics,
MIT Press, vol. 111(2), pages 507-48, May.
- Edward E. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," Harvard Institute of Economic Research Working Papers 1738, Harvard - Institute of Economic Research.
- Edward L. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," NBER Working Papers 5026, National Bureau of Economic Research, Inc.
- Glaeser, E.L. & Scheinkman, J.A. & Sacerdote, J.A., 1995. "Crime and Social Interactions," Working Papers e-95-2, Hoover Institution, Stanford University.
- Orlean, Andre, 1995. "Bayesian interactions and collective dynamics of opinion: Herd behavior and mimetic contagion," Journal of Economic Behavior & Organization, Elsevier, vol. 28(2), pages 257-274, October.
- George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
- Charles F. Manski, 2000.
"Economic Analysis of Social Interactions,"
NBER Working Papers
7580, National Bureau of Economic Research, Inc.
- Evans, William N & Oates, Wallace E & Schwab, Robert M, 1992. "Measuring Peer Group Effects: A Study of Teenage Behavior," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 966-91, October.
- Favara, Marta, 2012. "The Cost of Acting "Girly": Gender Stereotypes and Educational Choices," IZA Discussion Papers 7037, Institute for the Study of Labor (IZA).
- Markussen, Simen & Røed, Knut, 2012. "Social Insurance Networks," IZA Discussion Papers 6446, Institute for the Study of Labor (IZA).
- Michel Grabisch & Agnieszka Rusinowska, 2010.
"A model of influence with a continuum of actions,"
1004, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
- Michel Grabisch & Agnieszka Rusinowska, 2011. "A model of influence with a continuum of actions," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) hal-00666821, HAL.
- Emilio Barucci & Marco Tolotti, 2010.
"Identity, reputation and social interaction with an application to sequential voting,"
204, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- Emilio Barucci & Marco Tolotti, 2012. "Identity, reputation and social interaction with an application to sequential voting," Journal of Economic Interaction and Coordination, Springer, vol. 7(1), pages 79-98, May.
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