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Revisiting the matching function

Author

Listed:
  • Kohlbrecher, Britta
  • Merkl, Christian
  • Nordmeier, Daniela
Abstract
Many labor market models use both idiosyncratic productivity and a vacancy free entry condition. This paper shows that these two features combined generate an equilibrium comovement between matches on the one hand and unemployment and vacancies on the other hand, which is observationally equivalent to a constant returns Cobb-Douglas function commonly used to model match formation. We use German administrative labor market data to show that the matching function correlation solely based on idiosyncratic productivity and free entry is very close to the empirical matching function. Consequently, we argue that standard matching function estimations are seriously biased if idiosyncratic productivity plays a role for match formation. In this case, they are not suitable for the calibration of labor market models.

Suggested Citation

  • Kohlbrecher, Britta & Merkl, Christian & Nordmeier, Daniela, 2014. "Revisiting the matching function," Kiel Working Papers 1909, Kiel Institute for the World Economy (IfW Kiel).
  • Handle: RePEc:zbw:ifwkwp:1909
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    1. Revisiting the Matching Function
      by Christian Zimmermann in NEP-DGE blog on 2014-12-04 20:24:35

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    Cited by:

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    2. Kohlbrecher, Britta & Merkl, Christian, 2022. "Business cycle asymmetries and the labor market," Journal of Macroeconomics, Elsevier, vol. 73(C).
    3. Francesco Zanetti & Konstantinos Theodoridis, 2018. "State Dependence in Labor Market Fluctuations: Evidence, Theory, and Policy Implications," Economics Series Working Papers 856, University of Oxford, Department of Economics.
    4. Kohlbrecher, Britta & Merkl, Christian & Nordmeier, Daniela, 2016. "Revisiting the matching function," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 350-374.
    5. Merkl, Christian & Stüber, Heiko, 2016. "Wage cyclicalities and labor market dynamics at the establishment level: Theory and evidence," FAU Discussion Papers in Economics 12/2016, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    6. Christian Merkl & Timo Sauerbier, 2024. "Public Employment Agency Reform, Matching Efficiency, and German Unemployment," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 72(1), pages 393-440, March.
    7. Merkl, Christian & Stüber, Heiko, 2024. "Wage and employment cyclicalities at the establishment level," European Economic Review, Elsevier, vol. 161(C).
    8. Agnese, Pablo & Hromcová, Jana, 2016. "Low-skill offshoring and welfare compensation policies," Economic Modelling, Elsevier, vol. 52(PB), pages 408-426.
    9. Pizzinelli, Carlo & Speigner, Bradley, 2017. "Matching efficiency and labour market heterogeneity in the United Kingdom," Bank of England working papers 667, Bank of England.
    10. Gartner, Hermann & Carbonero, Francesco, 2017. "Search Cost and Search Duration for New Hires," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168141, Verein für Socialpolitik / German Economic Association.
    11. Lochner, Benjamin & Merkl, Christian & Stüber, Heiko & Gürtzgen, Nicole, 2021. "Recruiting intensity and hiring practices: Cross-sectional and time-series evidence," Labour Economics, Elsevier, vol. 68(C).
    12. Hochmuth, Brigitte & Kohlbrecher, Britta & Merkl, Christian & Gartner, Hermann, 2021. "Hartz IV and the decline of German unemployment: A macroeconomic evaluation," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    13. Carrillo-Tudela, Carlos & Launov, Andrey & Robin, Jean-Marc, 2021. "The fall in german unemployment: A flow analysis," European Economic Review, Elsevier, vol. 132(C).
    14. Gehrke, Britta & Weber, Enzo, 2018. "Identifying asymmetric effects of labor market reforms," European Economic Review, Elsevier, vol. 110(C), pages 18-40.
    15. Hochmuth, Brigitte & Gartner, Hermann & Kohlbrecher, Britta & Merkl, Christian, 2016. "Labor selection over the business cycle: An empirical assessment," FAU Discussion Papers in Economics 02/2016, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    16. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    17. Mario Bossler & Martin Popp, 2022. "Labor Demand on a Tight Leash," Papers 2203.05593, arXiv.org, revised Feb 2024.
    18. Congressional Budget Office, 2022. "A Markov-Switching Model of the Unemployment Rate: Working Paper 2022-05," Working Papers 57582, Congressional Budget Office.
    19. Brown, Alessio J.G. & Kohlbrecher, Britta & Merkl, Christian & Snower, Dennis J., 2021. "The effects of productivity and benefits on unemployment: Breaking the link," Economic Modelling, Elsevier, vol. 94(C), pages 967-980.
    20. Almut Balleer & Georg Duernecker & Susanne Forstner & Johannes Goensch, 2023. "Biased Expectations and Labor Market Outcomes: Evidence from German Survey Data and Implications for the East-West Wage Gap," CESifo Working Paper Series 10336, CESifo.
    21. Lochner, Ben & Merkl, Christian & Stüber, Heiko & Gürtzgen, Nicole, 2019. "A note on recruiting intensity and hiring practices: Cross-sectional and time-series evidence," FAU Discussion Papers in Economics 04/2019, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics, revised 2019.
    22. Domenico Ferraro, 2018. "The Asymmetric Cyclical Behavior of the U.S. Labor Market," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 145-162, October.
    23. Gartner, Hermann & Rothe, Thomas & Weber, Enzo, 2019. "The Quality-Weighted Matching Function: Did the German Labour Market Reforms Trade off Efficiency against Job Quality?," IAB-Discussion Paper 201924, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    24. Wolfgang Dauth & Johann Eppelsheimer, 2020. "Preparing the sample of integrated labour market biographies (SIAB) for scientific analysis: a guide," Journal for Labour Market Research, Springer;Institute for Employment Research/ Institut für Arbeitsmarkt- und Berufsforschung (IAB), vol. 54(1), pages 1-14, December.
    25. Domenico Ferraro, 2018. "The Asymmetric Cyclical Behavior of the U.S. Labor Market," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 145-162, October.

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    More about this item

    Keywords

    matching function; idiosyncratic productivity; job creation; vacancies;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J63 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Turnover; Vacancies; Layoffs
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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