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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. Lung-fei Lee, 2003. "Best Spatial Two-Stage Least Squares Estimators for a Spatial Autoregressive Model with Autoregressive Disturbances," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 307-335.
  2. 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.
  3. Jacob M. Markman & Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2003. "Does peer ability affect student achievement?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 527-544.
  4. 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.
  5. Peter Kooreman & Adriaan R. Soetevent, 2007. "A discrete-choice model with social interactions: with an application to high school teen behavior," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 599-624.
  6. Stefan Dercon & Joachim De Weerdt, 2002. "Risk-sharing networks and insurance against illness," CSAE Working Paper Series 2002-16, Centre for the Study of African Economies, University of Oxford.
  7. Sanjeev Goyal & Marco van der Leij & Jose Luis Moraga, 2004. "Economics: An Emerging Small World?," Tinbergen Institute Discussion Papers 04-001/1, Tinbergen Institute.
  8. Bernard Fortin & Guy Lacroix & Marie-Claire Villeval, 2004. "Tax Evasion and Social Interactions," Post-Print halshs-00175016, HAL.
  9. Yannis M. Ioannides & Adriaan R. Soetevent, 2005. "Social Networking and Individual Outcomes Beyond the Mean Field Case," Discussion Papers Series, Department of Economics, Tufts University 0521, Department of Economics, Tufts University.
  10. 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).
  11. Esther Duflo & Emmanuel Saez, 2003. "The Role Of Information And Social Interactions In Retirement Plan Decisions: Evidence From A Randomized Experiment," The Quarterly Journal of Economics, MIT Press, vol. 118(3), pages 815-842, August.
  12. Bruce Sacerdote, 2001. "Peer Effects With Random Assignment: Results For Dartmouth Roommates," The Quarterly Journal of Economics, MIT Press, vol. 116(2), pages 681-704, May.
  13. Bertrand, M. & Luttmer, E.F.P. & Mullainathan, S., 1998. "Network Effects and Welfare Cultures," Papers 201, Princeton, Woodrow Wilson School - Public and International Affairs.
  14. Davezies, Laurent & d'Haultfoeuille, Xavier & Fougère, Denis, 2006. "Identification of Peer Effects Using Group Size Variation," IZA Discussion Papers 2324, Institute for the Study of Labor (IZA).
  15. Conley, T.G. & Udry, C.R., 2000. "Learning about a New Technology: Pineapple in Ghana," Papers 817, Yale - Economic Growth Center.
  16. 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.
  17. William A. Brock & Steven N. Durlauf, 2003. "Multinomial Choice with Social Interactions," NBER Technical Working Papers 0288, National Bureau of Economic Research, Inc.
  18. repec:dgr:rugccs:200401 is not listed on IDEAS
  19. Antoni Calvo-Armengol & Eleonora Patacchini & Yves Zenou, 2008. "Peer Effects and Social Networks in Education," CReAM Discussion Paper Series 0814, Centre for Research and Analysis of Migration (CReAM), Department of Economics, University College London.
  20. 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.
  21. Brian Krauth, 2004. "Simulation-based estimation of peer effects," Econometrics 0408002, EconWPA.
  22. 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.
  23. Cohen-Cole, Ethan, 2006. "Multiple groups identification in the linear-in-means model," Economics Letters, Elsevier, vol. 92(2), pages 157-162, August.
  24. Bruce A. Weinberg, 2007. "Social Interactions with Endogenous Associations," NBER Working Papers 13038, National Bureau of Economic Research, Inc.
  25. Bryan S. Graham, 2008. "Identifying Social Interactions Through Conditional Variance Restrictions," Econometrica, Econometric Society, vol. 76(3), pages 643-660, 05.
  26. 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.
  27. 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.
  28. 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.
  29. Manski, C.F., 1992. "Identification Problems in the Social Sciences," Working papers 9217, Wisconsin Madison - Social Systems.
  30. 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.
  31. Manski, Charles F, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 531-42, July.
  32. 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.
  33. 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.
  34. 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.
  35. Blume,L.E. & Durlauf,S.N., 2005. "Identifying social interactions : a review," Working papers 12, Wisconsin Madison - Social Systems.
  36. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-65, July.
  37. Brock,W.A. & Durlauf,S.N., 2004. "Identification of binary choice models with social interactions," Working papers 2, Wisconsin Madison - Social Systems.
  38. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
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