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Multivariate Choice and Identification of Social Interactions

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

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.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 9159.

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Date of creation: Sep 2012
Date of revision:
Handle: RePEc:cpr:ceprdp:9159
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  1. Eleonora Patacchini & Yves Zenou, 2012. "Juvenile Delinquency and Conformism," Journal of Law, Economics and Organization, Oxford University Press, vol. 28(1), pages 1-31.
  2. Yannis M. Ioannides & Linda Datcher Loury, 2002. "Job Information Networks, Neighborhood Effects and Inequality," Discussion Papers Series, Department of Economics, Tufts University 0217, Department of Economics, Tufts University.
  3. Xiaodong Liu & Eleonora Patacchini & Yves Zenou & Lung-Fei Lee, 2012. "Criminal Networks: Who is the Key Player?," Working Papers 2012.39, Fondazione Eni Enrico Mattei.
  4. 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.
  5. Cohen-Cole, Ethan, 2006. "Multiple groups identification in the linear-in-means model," Economics Letters, Elsevier, vol. 92(2), pages 157-162, August.
  6. Yannis M. Ioannides, 2012. "From Neighborhoods to Nations: The Economics of Social Interactions," Economics Books, Princeton University Press, edition 1, volume 1, number 9892.
  7. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
  8. Jason Fletcher, 2012. "Peer influences on adolescent alcohol consumption: evidence using an instrumental variables/fixed effect approach," Journal of Population Economics, Springer, vol. 25(4), pages 1265-1286, October.
  9. Mohamed Belhaj & Frédéric Deroïan, 2010. "Competing Activities in Social Networks," Working Papers halshs-00481460, HAL.
  10. 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 241-75, April.
  11. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2011. "Peer Effects in Education, Sport, and Screen Activities: Local Aggregate or Local Average?," CEPR Discussion Papers 8477, C.E.P.R. Discussion Papers.
  12. 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, 07.
  13. 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.
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