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Social interactions under incomplete information with heterogeneous expectations

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  • Yang, Chao
  • Lee, Lung-fei

Abstract

We analyze social interactions where the conditional expectations about group members’ behaviors are heterogeneous with individual features as well as asymmetric private information, under the framework of a simultaneous move game with incomplete information. A functional contraction mapping is used to establish the existence of a unique Bayesian Nash equilibrium. The method of nested fixed point maximum likelihood estimation performs well for both linear and binary choice models. If heterogeneity is assumed away, estimates will be biased. For the 2011 National Youth Tobacco Survey data, significant peer effects on juvenile tobacco use are found.

Suggested Citation

  • Yang, Chao & Lee, Lung-fei, 2017. "Social interactions under incomplete information with heterogeneous expectations," Journal of Econometrics, Elsevier, vol. 198(1), pages 65-83.
    • Handle: RePEc:eee:econom:v:198:y:2017:i:1:p:65-83
    DOI: 10.1016/j.jeconom.2016.11.010
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    Cited by:

    1. Ritika Sethi, 2022. "Can Desegregation Close the Racial Gap in High School Coursework?," Papers 2208.12321, arXiv.org, revised Jul 2023.
    2. 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.
    3. Yingyao Hu & Zhongjian Lin, 2018. "Misclassification and the hidden silent rivalry," CeMMAP working papers CWP12/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Liu, Xiaodong & Zhou, Jiannan, 2017. "A social interaction model with ordered choices," Economics Letters, Elsevier, vol. 161(C), pages 86-89.
    5. Zhao, Chuanmin & Qu, Xi, 2021. "Peer effects in pension decision-making: evidence from China's new rural pension scheme," Labour Economics, Elsevier, vol. 69(C).
    6. Hulya Eraslan & Xun Tang, 2018. "Identification and Estimation of Large Network Games with Private Link Information," Koç University-TUSIAD Economic Research Forum Working Papers 1809, Koc University-TUSIAD Economic Research Forum.
    7. Freyens, Benoit Pierre & Gong, Xiaodong, 2020. "Judicial arbitration of unfair dismissal cases: The role of peer effects," International Review of Law and Economics, Elsevier, vol. 64(C).

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    More about this item

    Keywords

    Social interactions; Network links; Equilibrium expectations; Incomplete information game; Contraction mapping; Gaussian quadrature;
    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
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions

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