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Identification and Efficient Estimation of Simultaneous Equations Network Models

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  • Xiaodong Liu

Abstract

This article considers identification and estimation of social network models in a system of simultaneous equations. We show that, with or without row-normalization of the social adjacency matrix, the network model has different equilibrium implications, needs different identification conditions, and requires different estimation strategies. When the adjacency matrix is not row-normalized, the variation in the Bonacich centrality across nodes in a network can be used as an IV to identify social interaction effects and improve estimation efficiency. The number of such IVs depends on the number of networks. When there are many networks in the data, the proposed estimators may have an asymptotic bias due to the presence of many IVs. We propose a bias-correction procedure for the many-instrument bias. Simulation experiments show that the bias-corrected estimators perform well in finite samples. We also provide an empirical example to illustrate the proposed estimation procedure.

Suggested Citation

  • Xiaodong Liu, 2014. "Identification and Efficient Estimation of Simultaneous Equations Network Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(4), pages 516-536, October.
  • Handle: RePEc:taf:jnlbes:v:32:y:2014:i:4:p:516-536
    DOI: 10.1080/07350015.2014.907093
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    Cited by:

    1. AMBA OYON, Claude Marius & Mbratana, Taoufiki, 2017. "Simultaneous equation models with spatially autocorrelated error components," MPRA Paper 82395, University Library of Munich, Germany.
    2. Hsieh, Chih-Sheng & König, Michael D. & Liu, Xiaodong & Zimmermann, Christian, 2018. "Superstar Economists: Coauthorship Networks and Research Output," IZA Discussion Papers 11916, Institute for the Study of Labor (IZA).
    3. repec:eee:regeco:v:69:y:2018:i:c:p:167-198 is not listed on IDEAS
    4. Tatsi, Eirini, 2015. "Endogenous Social Interactions: Which Peers Matter?," Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113168, Verein für Socialpolitik / German Economic Association.
    5. AMBA OYON, Claude Marius & Mbratana, Taoufiki, 2018. "Simultaneous Generalized Method of Moments Estimator for Panel Data Models with Spatially Correlated Error Components," MPRA Paper 84746, University Library of Munich, Germany.
    6. repec:taf:jnlbes:v:35:y:2017:i:4:p:572-584 is not listed on IDEAS
    7. Lu, Lina, 2017. "Simultaneous Spatial Panel Data Models with Common Shocks," Risk and Policy Analysis Unit Working Paper RPA 17-3, Federal Reserve Bank of Boston.

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