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Nonlinear Search and Matching Explained

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Abstract

Competing explanations for the sources of nonlinearity in search and matching models indicate that they are not fully understood. This paper derives an analytical solution to a textbook model that highlights the mechanisms that generate nonlinearity and quantifies their contributions. Procyclical variation in the matching elasticity creates nonlinearity in the job finding rate, which interacts with the law of motion for unemployment. These results show the matching function choice is not innocuous. Quantitatively, the Den Haan et al. (2000) matching function more than doubles the skewness of unemployment and welfare cost of business cycles, compared to the Cobb-Douglas specification.

Suggested Citation

  • Joshua Bernstein & Alexander W. Richter & Nathaniel A. Throckmorton, 2021. "Nonlinear Search and Matching Explained," Working Papers 2106, Federal Reserve Bank of Dallas.
    • Handle: RePEc:fip:feddwp:91593
    DOI: 10.24149/wp2106
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    References listed on IDEAS

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    1. Freund, L. B & Rendahl, P., 2020. "Unexpected Effects: Uncertainty, Unemployment, and Inflation," Cambridge Working Papers in Economics 2035, Faculty of Economics, University of Cambridge.
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    3. Cosmin Ilut & Matthias Kehrig & Martin Schneider, 2018. "Slow to Hire, Quick to Fire: Employment Dynamics with Asymmetric Responses to News," Journal of Political Economy, University of Chicago Press, vol. 126(5), pages 2011-2071.
    4. Antoine Lepetit, 2020. "Asymmetric Unemployment Fluctuations and Monetary Policy Trade-Offs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 29-45, April.
    5. Abbritti, Mirko & Fahr, Stephan, 2013. "Downward wage rigidity and business cycle asymmetries," Journal of Monetary Economics, Elsevier, vol. 60(7), pages 871-886.
    6. Straub, Ludwig & Ulbricht, Robert, 2015. "Endogenous Uncertainty and Credit Crunches," TSE Working Papers 15-604, Toulouse School of Economics (TSE), revised Dec 2017.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Matching Function; Matching Elasticity; complementarity; Unemployment;
    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
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • 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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