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Linear Social Interactions Models

Author

Listed:
  • Blume, Lawrence E.

    (Department of Economics, Cornell University, Ithaca, USA, and Santa Fe Institute and IHS Vienna)

  • Brock, William A.

    (Economics Department, University of Wisconsin-Madison, USA and University of Missouri, Columbia)

  • Durlauf, Steven N.

    (Department of Economics, University of Wisconsin-Madison, USA)

  • Jayaraman, Rajshri

    (European School of Management and Technology, Berlin, Germany)

Abstract

This paper provides a systematic analysis of identification in linear social interactions models. This is both a theoretical and an econometric exercise as the analysis is linked to a rigorously delineated model of interdependent decisions. We develop an incomplete information game that describes individual choices in the presence of social interactions. The equilibrium strategy profiles are linear. Standard models in the empirical social interactions literature are shown to be exact or approximate special cases of our general framework, which in turn provides a basis for understanding the microeconomic foundations of those models. We consider identification of both endogenous (peer) and contextual social effects under alternative assumptions on a priori information about network structure available to an analyst, and contrast the informational content of individual-level and aggregated data. Finally, we discuss potential ramifications for identification of endogenous group selection and differences between the information sets of analysts and agents.

Suggested Citation

  • Blume, Lawrence E. & Brock, William A. & Durlauf, Steven N. & Jayaraman, Rajshri, 2013. "Linear Social Interactions Models," Economics Series 298, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:298
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    File URL: https://irihs.ihs.ac.at/id/eprint/2208
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    References listed on IDEAS

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    More about this item

    Keywords

    Social interactions; identification; incomplete information games;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • 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
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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