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A social interaction model with ordered choices

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  • Liu, Xiaodong
  • Zhou, Jiannan

Abstract

We introduce a social interaction model with ordered choices. We provide a micro-foundation for the econometric model based on an incomplete information network game, and characterize the sufficient condition for the existence of a unique equilibrium of the game. We discuss the identification of the model, and propose to estimate the model by the NFXP and NPL algorithms. We conduct Monte Carlo simulations to investigate the finite sample performance of these two estimation methods.

Suggested Citation

  • Liu, Xiaodong & Zhou, Jiannan, 2017. "A social interaction model with ordered choices," Economics Letters, Elsevier, vol. 161(C), pages 86-89.
    • Handle: RePEc:eee:ecolet:v:161:y:2017:i:c:p:86-89
    DOI: 10.1016/j.econlet.2017.09.027
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    References listed on IDEAS

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    7. Yang, Chao & Lee, Lung-fei, 2017. "Social interactions under incomplete information with heterogeneous expectations," Journal of Econometrics, Elsevier, vol. 198(1), pages 65-83.
    8. Brock, William A. & Durlauf, Steven N., 2007. "Identification of binary choice models with social interactions," Journal of Econometrics, Elsevier, vol. 140(1), pages 52-75, September.
    9. William A. Brock & Steven N. Durlauf, 2002. "A Multinomial-Choice Model of Neighborhood Effects," American Economic Review, American Economic Association, vol. 92(2), pages 298-303, May.
    10. Liu, Xiaodong & Lee, Lung-fei, 2010. "GMM estimation of social interaction models with centrality," Journal of Econometrics, Elsevier, vol. 159(1), pages 99-115, November.
    11. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    12. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(1), pages 147-165.
    13. Lung-fei Lee & Xiaodong Liu & Xu Lin, 2010. "Specification and estimation of social interaction models with network structures," Econometrics Journal, Royal Economic Society, vol. 13(2), pages 145-176, July.
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    Cited by:

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    3. Boucher, Vincent & Dedewanou, F. Antoine & Dufays, Arnaud, 2022. "Peer-induced beliefs regarding college participation," Economics of Education Review, Elsevier, vol. 90(C).

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    More about this item

    Keywords

    Ordered probit and logit models; Rational expectations; Social networks;
    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

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