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Linear Social Interactions Models

Author

Listed:
  • Lawrence E. Blume
  • William A. Brock
  • Steven N. Durlauf
  • Rajshri Jayaraman
Abstract
This paper provides a systematic analysis of identification in linear social interactions models. This is both a theoretical and an econometric exercise as the analysis is linked to a rigorously delineated model of interdependent decisions. We develop an incomplete information game that describes individual choices in the presence of social interactions. The equilibrium strategy profiles are linear. Standard models in the empirical social interactions literature are shown to be exact or approximate special cases of our general framework, which in turn provides a basis for understanding the microeconomic foundations of those models. We consider identification of both endogenous (peer) and contextual social effects under alternative assumptions on a priori information about network structure available to an analyst, and contrast the informational content of individual-level and aggregated data. Finally, we discuss potential ramifications for identification of endogenous group selection and differences between the information sets of analysts and agents.

Suggested Citation

  • Lawrence E. Blume & William A. Brock & Steven N. Durlauf & Rajshri Jayaraman, 2013. "Linear Social Interactions Models," NBER Working Papers 19212, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:19212
    Note: CH DEV ED EFG EH LS PE TWP
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    References listed on IDEAS

    as
    1. Lawrence E. Blume & William A. Brock & Steven N. Durlauf & Rajshri Jayaraman, 2015. "Linear Social Interactions Models," Journal of Political Economy, University of Chicago Press, vol. 123(2), pages 444-496.
    2. Ivar Ekeland & James J. Heckman & Lars Nesheim, 2004. "Identification and Estimation of Hedonic Models," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 60-109, February.
    3. Laurent Davezies & Xavier D'Haultfoeuille & Denis Fougère, 2009. "Identification of peer effects using group size variation," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 397-413, November.
    4. Patrick Bayer & Stephen L. Ross & Giorgio Topa, 2008. "Place of Work and Place of Residence: Informal Hiring Networks and Labor Market Outcomes," Journal of Political Economy, University of Chicago Press, vol. 116(6), pages 1150-1196, December.
    5. Mari Rege & Kjetil Telle & Mark Votruba, 2012. "Social Interaction Effects in Disability Pension Participation: Evidence from Plant Downsizing," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(4), pages 1208-1239, December.
    6. Henderson, Vernon & Mieszkowski, Peter & Sauvageau, Yvon, 1978. "Peer group effects and educational production functions," Journal of Public Economics, Elsevier, vol. 10(1), pages 97-106, August.
    7. repec:dau:papers:123456789/6486 is not listed on IDEAS
    8. Mary Corcoran & Roger Gordon & Deborah Laren & Gary Solon, 1992. "The Association between Men's Economic Status and Their Family and Community Origins," Journal of Human Resources, University of Wisconsin Press, vol. 27(4), pages 575-601.
    9. Calabrese, Stephen & Epple, Dennis & Romer, Thomas & Sieg, Holger, 2006. "Local public good provision: Voting, peer effects, and mobility," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 959-981, August.
    10. Patacchini, Eleonora & Hsieh, Chih-Sheng & Lin, Xu, 2019. "Social Interaction Methods," CEPR Discussion Papers 14141, C.E.P.R. Discussion Papers.
    11. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 531-542.
    12. Datcher, Linda P, 1982. "Effects of Community and Family Background on Achievement," The Review of Economics and Statistics, MIT Press, vol. 64(1), pages 32-41, February.
    13. Timothy G. Conley & Christopher R. Udry, 2010. "Learning about a New Technology: Pineapple in Ghana," American Economic Review, American Economic Association, vol. 100(1), pages 35-69, March.
    14. Ryo Nakajima, 2007. "Measuring Peer Effects on Youth Smoking Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 897-935.
    15. Epple, Dennis & Romano, Richard E, 1998. "Competition between Private and Public Schools, Vouchers, and Peer-Group Effects," American Economic Review, American Economic Association, vol. 88(1), pages 33-62, March.
    16. Anton Badev, 2014. "Discrete Games in Endogenous Networks: Theory and Policy," 2014 Meeting Papers 901, Society for Economic Dynamics.
    17. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 507-548.
    18. Piero Cipollone & Alfonso Rosolia, 2007. "Social Interactions in High School: Lessons from an Earthquake," American Economic Review, American Economic Association, vol. 97(3), pages 948-965, June.
    19. Zenou, Yves & Patacchini, Eleonora & Rainone, Edoardo, 2012. "Student Networks and Long-Run Educational Outcomes: The Strength of Strong Ties," CEPR Discussion Papers 9149, C.E.P.R. Discussion Papers.
    20. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
    21. McManus, Douglas A., 1992. "How common is identification in parametric models?," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 5-23.
    22. 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.
    23. Charles F. Manski & Joram Mayshar, 2003. "Private Incentives and Social Interactions: Fertility Puzzles in Israel," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 181-211, March.
    24. Robert Bifulco & Jason M. Fletcher & Stephen L. Ross, 2011. "The Effect of Classmate Characteristics on Post-secondary Outcomes: Evidence from the Add Health," American Economic Journal: Economic Policy, American Economic Association, vol. 3(1), pages 25-53, February.
    25. Bruce Sacerdote, 2001. "Peer Effects with Random Assignment: Results for Dartmouth Roommates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 681-704.
    26. Lung-fei Lee & Xiaodong Liu & Xu Lin, 2010. "Specification and estimation of social interaction models with network structures," Econometrics Journal, Royal Economic Society, vol. 13(2), pages 145-176, July.
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    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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