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Identification in Models for Matched Panel Data with Two-Sided Random Effects

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  • Jochmans, Koen

Abstract

This paper is concerned with models for matched worker-firm data in the presence of both worker and firm heterogeneity. We show that models with complementarity and sorting can be nonparametrically identified from short panel data while treating both worker and firm heterogeneity as discrete random effects. This paradigm is different from the framework of Bonhomme, Lamadon and Manresa (2019a), where identification results are derived under the assumption that worker effects are random but firm heterogeneity is observed. Our identification approach is constructive and our results appear to be the first of their kind in the context of matched panel data problems.

Suggested Citation

  • Jochmans, Koen, 2025. "Identification in Models for Matched Panel Data with Two-Sided Random Effects," TSE Working Papers 25-1649, Toulouse School of Economics (TSE), revised Oct 2025.
    • Handle: RePEc:tse:wpaper:130607
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    References listed on IDEAS

    as
    1. Rasmus Lentz & Suphanit Piyapromdee & Jean-Marc Robin, 2022. "The Anatomy of Sorting - Evidence from Danish Data," Working Papers hal-03869383, HAL.
    2. Rasmus Lentz & Suphanit Piyapromdee & Jean‐Marc Robin, 2023. "The Anatomy of Sorting—Evidence From Danish Data," Econometrica, Econometric Society, vol. 91(6), pages 2409-2455, November.
    3. Stéphane Bonhomme & Koen Jochmans & Jean-Marc Robin, 2014. "Estimating Multivariate Latent-Structure Models," Sciences Po Economics Publications (main) hal-01097135, HAL.
    4. Koen Jochmans & Martin Weidner, 2019. "Fixed‐Effect Regressions on Network Data," Econometrica, Econometric Society, vol. 87(5), pages 1543-1560, September.
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    6. Jan Eeckhout & Philipp Kircher, 2011. "Identifying Sorting--In Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 872-906.
    7. Stéphane Bonhomme & Thibaut Lamadon & Elena Manresa, 2019. "A Distributional Framework for Matched Employer Employee Data," Econometrica, Econometric Society, vol. 87(3), pages 699-739, May.
    8. Patrick Kline & Raffaele Saggio & Mikkel Sølvsten, 2020. "Leave‐Out Estimation of Variance Components," Econometrica, Econometric Society, vol. 88(5), pages 1859-1898, September.
    9. M. J. Andrews & L. Gill & T. Schank & R. Upward, 2008. "High wage workers and low wage firms: negative assortative matching or limited mobility bias?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(3), pages 673-697, June.
    10. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    11. Jean-Marc Robin & Stéphane Bonhomme & Koen Jochmans, 2014. "Estimating Multivariate Latent-Structure Models," Sciences Po Economics Discussion Papers 2014-18, Sciences Po Departement of Economics.
    12. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
    13. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    14. Hu, Yingyao, 2017. "The econometrics of unobservables: Applications of measurement error models in empirical industrial organization and labor economics," Journal of Econometrics, Elsevier, vol. 200(2), pages 154-168.
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    Full references (including those not matched with items on IDEAS)

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    Keywords

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    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion

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