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My Friend Far Far Away: Asymptotic Properties of Pairwise Stable Networks

Author

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  • Vincent BOUCHER
  • Ismael MOURIFIÉ

Abstract

We explore the asymptotic properties of pairwise stables networks (Jackson and Wolinsky, 1996). Speci fically, we want to recover a set of parameters from the individuals' utility functions using the observation of a single pairwise stable network. We develop Pseudo Maximum Likelihood estimator and show that it is consistent and asymptotically normally distributed under a very weak version of homophily. The approach is compelling as it provides explicit, easy-to-check conditions on the admissible set of preferences. Moreover, the method is easily implementable using pre-programmed estimators available in most statistical packages. We provide an application of our method using the Add Health database.

Suggested Citation

  • Vincent BOUCHER & Ismael MOURIFIÉ, 2013. "My Friend Far Far Away: Asymptotic Properties of Pairwise Stable Networks," Working Papers tecipa-499, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-499
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    File URL: https://www.economics.utoronto.ca/public/workingPapers/tecipa-499.pdf
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    References listed on IDEAS

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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. Alberto Bisin & Andrea Moro & Giorgio Topa, 2011. "The empirical content of models with multiple equilibria in economies with social interactions," Staff Reports 504, Federal Reserve Bank of New York.
    3. Angelo Mele, 2010. "A structural model of segregation in social networks," CeMMAP working papers CWP32/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Bester, C. Alan & Conley, Timothy G. & Hansen, Christian B., 2011. "Inference with dependent data using cluster covariance estimators," Journal of Econometrics, Elsevier, vol. 165(2), pages 137-151.
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    Cited by:

    1. repec:eee:econom:v:201:y:2017:i:2:p:176-197 is not listed on IDEAS
    2. Áureo de Paula & Seth Richards-Shubik & Elie Tamer, 2016. "Identifying preferences in networks with bounded degree," CeMMAP working papers CWP54/16, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    3. Arun Advani & Bansi Malde, 2014. "Empirical methods for networks data: social effects, network formation and measurement error," IFS Working Papers W14/34, Institute for Fiscal Studies.
    4. Áureo de Paula, 2015. "Econometrics of network models," CeMMAP working papers CWP52/15, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    5. Leung, Michael P., 2015. "Two-step estimation of network-formation models with incomplete information," Journal of Econometrics, Elsevier, vol. 188(1), pages 182-195.

    More about this item

    Keywords

    social network; pairwise stability; spatial econometrics;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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