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A social interaction model with an extreme order statistic

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  • Ji Tao
  • Lung‐fei Lee

Abstract

In this paper, we introduce a social interaction econometric model with an extreme order statistic to model peer effects. We show that the model is a well‐defined system of equations and that it is a static game with complete information. The social interaction model can include exogenous regressors and group effects. Instrumental variables estimators are proposed for the general model that includes exogenous regressors. We also consider distribution‐free methods that use recurrence relations to generate moment conditions for estimation. For a model without exogenous regressors, the maximum likelihood approach is computationally feasible.

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  • Ji Tao & Lung‐fei Lee, 2014. "A social interaction model with an extreme order statistic," Econometrics Journal, Royal Economic Society, vol. 17(3), pages 197-240, October.
    • Handle: RePEc:wly:emjrnl:v:17:y:2014:i:3:p:197-240
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    File URL: http://hdl.handle.net/10.1111/ectj.12031
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    Cited by:

    1. Hahn, Youjin & Islam, Asadul & Patacchini, Eleonora & Zenou, Yves, 2015. "Network Structure and Education Outcomes: Evidence from a Field Experiment in Bangladesh," IZA Discussion Papers 8872, Institute of Labor Economics (IZA).
    2. Díaz, Carlos & Patacchini, Eleonora & Verdier, Thierry & Zenou, Yves, 2021. "Leaders in juvenile crime," Journal of Economic Behavior & Organization, Elsevier, vol. 192(C), pages 638-667.
    3. Arbia, Giuseppe, 2016. "Spatial Econometrics: A Broad View," Foundations and Trends(R) in Econometrics, now publishers, vol. 8(3-4), pages 145-265, November.
    4. Wei Cheng, 2022. "Productivity spillovers in endogenous coauthor networks," Empirical Economics, Springer, vol. 63(6), pages 3159-3183, December.
    5. Yang, Chao & Lee, Lung-fei & Qu, Xi, 2018. "Tobit models with social interactions: Complete vs incomplete information," Regional Science and Urban Economics, Elsevier, vol. 73(C), pages 30-50.
    6. Youjin Hahn & Asadul Islam & Eleonora Patacchini & Yves Zenou, 2015. "Teams, Organization and Education Outcomes: Evidence from a field experiment in Bangladesh," Monash Economics Working Papers 35-15, Monash University, Department of Economics.
    7. Eric Auerbach, 2019. "Identification and Estimation of a Partially Linear Regression Model using Network Data," Papers 1903.09679, arXiv.org, revised Jun 2021.
    8. Tatsi, Eirini, 2015. "Endogenous Social Interactions: Which Peers Matter?," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113168, Verein für Socialpolitik / German Economic Association.

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