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Identification Methods for Social Interactions Models with Unknown Networks

In: The Econometrics of Networks

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  • Hon Ho Kwok

Abstract

This chapter develops a set of two-step identification methods for social interactions models with unknown networks, and discusses how the proposed methods are connected to the identification methods for models with known networks. The first step uses linear regression to identify the reduced forms. The second step decomposes the reduced forms to identify the primitive parameters. The proposed methods use panel data to identify networks. Two cases are considered: the sample exogenous vectors spanRn (long panels), and the sample exogenous vectors span a proper subspace ofRn(short panels). For the short panel case, in order to solve the sample covariance matrices’ non-invertibility problem, this chapter proposes to represent the sample vectors with respect to a basis of a lower-dimensional space so that we have fewer regression coefficients in the first step. This allows us to identify some reduced form submatrices, which provide equations for identifying the primitive parameters.

Suggested Citation

  • Hon Ho Kwok, 2020. "Identification Methods for Social Interactions Models with Unknown Networks," Advances in Econometrics, in: The Econometrics of Networks, volume 42, pages 27-59, Emerald Group Publishing Limited.
  • Handle: RePEc:eme:aecozz:s0731-905320200000042007
    DOI: 10.1108/S0731-905320200000042007
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    More about this item

    Keywords

    Adjacency matrix; Change of basis; Jordan canonical form; Matrix triangularization; Network; Spatial weight matrix; C31; C33;
    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
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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