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Multivariate Choice and Identification of Social Interactions

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  • Zenou, Yves
  • Cohen-Cole, Ethan
  • Liu, Xiaodong

Abstract

In this paper, we investigate the impact of peers on own outcomes where all agents embedded in a network choose more than one activity. We develop a simple network model that illustrates these issues. We differentiate between the ?seemingly unrelated? simultaneous equations model where people are influenced only by others within the same activity, the ?triangular? simultaneous equations model, where there is some asymmetry in the peers? cross effects, and the ?square? simultaneous equations model, where all possible cross-choice effects are taken into account. We develop the conditions under which each model is identified, showing that the general ?square? simultaneous equations model with both simultaneity effect and cross-choice peer effect cannot be identified without any exclusion restrictions. We then study the impact of peer effects on education and screen activities and show that the estimated within- and cross-choice peer effects both have non-trivial impacts on adolescent behavior. We find, in particular, that, keeping peers? grades and screen activities fixed, watching more TV could be beneficial to a student?s grade.

Suggested Citation

  • Zenou, Yves & Cohen-Cole, Ethan & Liu, Xiaodong, 2012. "Multivariate Choice and Identification of Social Interactions," CEPR Discussion Papers 9159, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:9159
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    References listed on IDEAS

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    1. Belhaj Mohamed & Deroïan Frédéric, 2014. "Competing Activities in Social Networks," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(4), pages 1431-1466, October.
    2. David M. Cutler & Edward L. Glaeser, 2010. "Social Interactions and Smoking," NBER Chapters, in: Research Findings in the Economics of Aging, pages 123-141, National Bureau of Economic Research, Inc.
    3. Giacomo De Giorgi & Michele Pellizzari & Silvia Redaelli, 2010. "Identification of Social Interactions through Partially Overlapping Peer Groups," American Economic Journal: Applied Economics, American Economic Association, vol. 2(2), pages 241-275, April.
    4. Yannis M. Ioannides & Linda Datcher Loury, 2004. "Job Information Networks, Neighborhood Effects, and Inequality," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1056-1093, December.
    5. Kelejian, Harry H. & Prucha, Ingmar R., 2004. "Estimation of simultaneous systems of spatially interrelated cross sectional equations," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 27-50.
    6. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves & Lee, Lung-Fei, 2011. "Criminal Networks: Who is the Key Player?," Research Papers in Economics 2011:7, Stockholm University, Department of Economics.
    7. Jason Fletcher, 2012. "Peer influences on adolescent alcohol consumption: evidence using an instrumental variables/fixed effect approach," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(4), pages 1265-1286, October.
    8. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    9. Yannis M. Ioannides, 2012. "From Neighborhoods to Nations: The Economics of Social Interactions," Economics Books, Princeton University Press, edition 1, volume 1, number 9892, December.
    10. Eleonora Patacchini & Yves Zenou, 2012. "Juvenile Delinquency and Conformism," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 28(1), pages 1-31.
    11. 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.
    12. 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.
    13. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    14. 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.
    15. David A. Wise, 2010. "Research Findings in the Economics of Aging," NBER Books, National Bureau of Economic Research, Inc, number wise08-1.
    16. 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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    Keywords

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    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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