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A model of peer effects in school

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  • Bolletta, Ugo

Abstract

Designing interventions aimed at fostering peer effects in schools requires knowledge of how individuals endogenously sort into groups. We propose a theoretical model where agents form groups endogenously and their outcomes are affected accordingly. Using a popular payoff structure, we show that equilibrium outcomes are consistent with the linear-in-means model used to empirically study peer effects, and we characterize the set of stable networks. Further analytical results show that the model can explain the empirical results of Carrell et al. (2013). In particular, segregation in the classroom harms the transmission of peer effects that would benefit the lower achieving students. The presence of weak ties could counteract this outcome.

Suggested Citation

  • Bolletta, Ugo, 2021. "A model of peer effects in school," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 1-10.
  • Handle: RePEc:eee:matsoc:v:114:y:2021:i:c:p:1-10
    DOI: 10.1016/j.mathsocsci.2021.09.003
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    1. Paul Goldsmith-Pinkham & Guido W. Imbens, 2013. "Social Networks and the Identification of Peer Effects," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(3), pages 253-264, July.
    2. 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.
    3. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    4. Bramoullé, Yann & Djebbari, Habiba & Fortin, Bernard, 2009. "Identification of peer effects through social networks," Journal of Econometrics, Elsevier, vol. 150(1), pages 41-55, May.
    5. Vincent Boucher, 2015. "Structural Homophily," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 235-264, February.
    6. Giacomo De Giorgi & Michele Pellizzari, 2014. "Understanding Social Interactions: Evidence from the Classroom," Economic Journal, Royal Economic Society, vol. 124(579), pages 917-953, September.
    7. Ludwig, Jens & Duncan, Greg J. & Katz, Lawrence F. & Kessler, Ronald & Kling, Jeffrey R. & Gennetian, Lisa A. & Sanbonmatsu, Lisa, 2012. "Neighborhood Effects on the Long-Term Well-Being of Low-Income Adults," Scholarly Articles 11870359, Harvard University Department of Economics.
    8. Li, Tao & Han, Li & Zhang, Linxiu & Rozelle, Scott, 2014. "Encouraging classroom peer interactions: Evidence from Chinese migrant schools," Journal of Public Economics, Elsevier, vol. 111(C), pages 29-45.
    9. Jeffrey R Kling & Jeffrey B Liebman & Lawrence F Katz, 2007. "Experimental Analysis of Neighborhood Effects," Econometrica, Econometric Society, vol. 75(1), pages 83-119, January.
    10. Markus Kinateder & Luca Paolo Merlino, 2017. "Public Goods in Endogenous Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 187-212, August.
    11. Boucher, Vincent, 2016. "Conformism and self-selection in social networks," Journal of Public Economics, Elsevier, vol. 136(C), pages 30-44.
    12. Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, vol. 100(4), pages 1468-1492, September.
    13. 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.
    14. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    15. Saia, Alessandro, 2018. "Random interactions in the Chamber: Legislators' behavior and political distance," Journal of Public Economics, Elsevier, vol. 164(C), pages 225-240.
    16. Vincent Boucher, 2015. "Structural Homophily," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(1), pages 235-264, February.
    17. 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.
    18. Scott E. Carrell & Bruce I. Sacerdote & James E. West, 2013. "From Natural Variation to Optimal Policy? The Importance of Endogenous Peer Group Formation," Econometrica, Econometric Society, vol. 81(3), pages 855-882, May.
    19. Anton Badev, 2021. "Nash Equilibria on (Un)Stable Networks," Econometrica, Econometric Society, vol. 89(3), pages 1179-1206, May.
    20. Raj Chetty & Nathaniel Hendren & Lawrence F. Katz, 2016. "The Effects of Exposure to Better Neighborhoods on Children: New Evidence from the Moving to Opportunity Experiment," American Economic Review, American Economic Association, vol. 106(4), pages 855-902, April.
    21. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    22. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    Cited by:

    1. Golub, Benjamin & Hsieh, Yu-Chi & Sadler, Evan, 2024. "On the difficulty of characterizing network formation with endogenous behavior," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 107-110.

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