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Identification of social effects through variations in network structures

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  • Ryota Ishikawa

    (Graduate School of Economics, Waseda University)

Abstract

Bramoull´e et al. (2009) provided identification conditions for linear social interaction models through network structures. Despite the importance of their results, the authors omitted detailed mathematical discussions. Moreover, they consider cases where many identical networks are observed simultaneously within the same dataset. In reality, multiple networks with different structures, such as classrooms or villages, are repeatedly observed within the same dataset. The purpose of this paper is to fill in the mathematical gaps in their arguments and to establish identification conditions for networks with different structures. In addition, we find the smallest network size as a necessary condition for identifying social effects. We also discuss the identification conditions of network models with a fixed network effect.

Suggested Citation

  • Ryota Ishikawa, 2025. "Identification of social effects through variations in network structures," Working Papers 2509, Waseda University, Faculty of Political Science and Economics.
    • Handle: RePEc:wap:wpaper:2509
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    References listed on IDEAS

    as
    1. 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.
    2. Chih‐Sheng Hsieh & Lung Fei Lee, 2016. "A Social Interactions Model with Endogenous Friendship Formation and Selectivity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(2), pages 301-319, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    identification; network model; social interactions; network size;
    All these keywords.

    JEL classification:

    • 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
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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