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Identification of Peer Effects through Social Networks

  • Yann Bramoullé
  • Habiba Djebbari
  • Bernard Fortin

We provide new results regarding the identification of peer effects. We consider an extended version of the linear-in-means model where each individual has his own specific reference group. Interactions are thus structured through a social network. We assume that correlated unobservables are either absent, or treated as fixed effects at the component level. In both cases, we provide easy-to-check necessary and sufficient conditions for identification. We show that endogenous and exogenous effects are generally identified under network interaction, although identification may fail for some particular structures. Monte Carlo simulations provide an analysis of the effects of some crucial characteristics of a network (i.e., density, intransitivity) on the estimates of social effects. Our approach generalizes a number of previous results due to Manski (1993), Moffitt (2001), and Lee (2006).

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Paper provided by CIRPEE in its series Cahiers de recherche with number 0705.

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Date of creation: 2007
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Handle: RePEc:lvl:lacicr:0705
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  1. Stefan Dercon & Joachim De Weerdt, 2002. "Risk-sharing Networks and Insurance against illness," Economics Series Working Papers WPS/2002-16, University of Oxford, Department of Economics.
  2. Brock, William A. & Durlauf, Steven N., 2007. "Identification of binary choice models with social interactions," Journal of Econometrics, Elsevier, vol. 140(1), pages 52-75, September.
  3. D'Haultfoeuille, Xavier & Davezies, Laurent & Fougère, Denis, 2006. "Identification of Peer Effects Using Group Size Variation," CEPR Discussion Papers 5865, C.E.P.R. Discussion Papers.
  4. Kooreman, P. & Soetevent, A., 2007. "A discrete choice model with social interactions; with an application to high school teen behavior," Other publications TiSEM 39fff234-271a-4058-9912-7, Tilburg University, School of Economics and Management.
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  7. 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.
  8. Bernard Fortin & Guy Lacroix & Marie-Claire Villeval, 2004. "Tax Evasion and Social Interactions," CIRANO Working Papers 2004s-61, CIRANO.
  9. 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.
  10. Sanjeev Goyal & Marco van der Leij & José Luis Moraga-Gonzàlez, 2004. "Economics: An Emerging Small World?," Working Papers 2004.84, Fondazione Eni Enrico Mattei.
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  12. Antoni Calv�-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1239-1267.
  13. Alejandro Gaviria & Steven Raphael, 2001. "School-Based Peer Effects And Juvenile Behavior," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 257-268, May.
  14. Lee, Lung-fei, 2007. "Identification and estimation of econometric models with group interactions, contextual factors and fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 333-374, October.
  15. William A. Brock & Steven N. Durlauf, 2003. "Multinomial Choice with Social Interactions," NBER Technical Working Papers 0288, National Bureau of Economic Research, Inc.
  16. Graham, Bryan S. & Hahn, Jinyong, 2005. "Identification and estimation of the linear-in-means model of social interactions," Economics Letters, Elsevier, vol. 88(1), pages 1-6, July.
  17. Yannis M. Ioannides & Jeffrey E. Zabel, 2000. "Neighborhood Effects and Housing Demand," Discussion Papers Series, Department of Economics, Tufts University 0012, Department of Economics, Tufts University.
  18. Ioannides, Yannis M. & Soetevent, Adriaan R., 2007. "Social networking and individual outcomes beyond the mean field case," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 369-390.
  19. Bruce Sacerdote, 2001. "Peer Effects with Random Assignment: Results for Dartmouth Roommates," The Quarterly Journal of Economics, Oxford University Press, vol. 116(2), pages 681-704.
  20. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-65, July.
  21. David J. Zimmerman, 2003. "Peer Effects in Academic Outcomes: Evidence from a Natural Experiment," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 9-23, February.
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  23. Krauth, Brian V., 2006. "Simulation-based estimation of peer effects," Journal of Econometrics, Elsevier, vol. 133(1), pages 243-271, July.
  24. Marianne Bertrand & Erzo F. P. Luttmer & Sendhil Mullainathan, 1999. "Network Effects and Welfare Cultures," Working Papers 9903, Harris School of Public Policy Studies, University of Chicago.
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  26. repec:oup:restud:v:68:y:2001:i:2:p:235-60 is not listed on IDEAS
  27. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
  28. Blume,L.E. & Durlauf,S.N., 2005. "Identifying social interactions : a review," Working papers 12, Wisconsin Madison - Social Systems.
  29. De Giorgi, Giacomo & Pellizzari, Michele & Redaelli, Silvia, 2007. "Be as Careful of the Books You Read as of the Company You Keep: Evidence on Peer Effects in Educational Choices," IZA Discussion Papers 2833, Institute for the Study of Labor (IZA).
  30. Calvó-Armengol, Antoni & Patacchini, Eleonora & Zenou, Yves, 2005. "Peer Effects and Social Networks in Education and Crime," CEPR Discussion Papers 5244, C.E.P.R. Discussion Papers.
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  33. Adriaan R. Soetevent, 2006. "Empirics of the Identification of Social Interactions; An Evaluation of the Approaches and Their Results ," Journal of Economic Surveys, Wiley Blackwell, vol. 20(2), pages 193-228, 04.
  34. Manski, C.F., 1992. "Identification Problems in the Social Sciences," Working papers 9217, Wisconsin Madison - Social Systems.
  35. Trogdon, Justin G. & Nonnemaker, James & Pais, Joanne, 2008. "Peer effects in adolescent overweight," Journal of Health Economics, Elsevier, vol. 27(5), pages 1388-1399, September.
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  37. Cohen-Cole, Ethan, 2006. "Multiple groups identification in the linear-in-means model," Economics Letters, Elsevier, vol. 92(2), pages 157-162, August.
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