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The Matching Function and Nonlinear Business Cycles

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Abstract

The Cobb-Douglas matching function is ubiquitous in search and matching models, even though it imposes a constant matching elasticity that is unlikely to hold empirically. Using a general constant returns to scale matching function, this paper first derives analytical conditions that determine how the cyclicality of the matching elasticity amplifies or dampens the nonlinear dynamics of the job finding and unemployment rates. It then demonstrates that these effects are quantitatively significant and driven by plausible variation in the matching elasticity.

Suggested Citation

  • Joshua Bernstein & Alexander W. Richter & Nathaniel A. Throckmorton, 2022. "The Matching Function and Nonlinear Business Cycles," Working Papers 2201, Federal Reserve Bank of Dallas.
  • Handle: RePEc:fip:feddwp:93702
    DOI: 10.24149/wp2201
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    More about this item

    Keywords

    Matching Function; Matching Elasticity; Nonlinear; Finding Rate; 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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