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Global Dynamics in a Search and Matching Model of the Labor Market

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Abstract

We study global and local dynamics of a simple search and matching model of the labor market. We show that the model can be locally indeterminate or have no equilibrium at all, but only for parameterizations that are empirically implausible. In contrast to the local results, we show that the model exhibits chaotic and periodic dynamics for reasonable parameter values both in backward and forward time. In contrast to earlier work, we establish these results analytically without placing numerical restrictions on the parameters.

Suggested Citation

  • Nika Lazaryan & Thomas A. Lubik, 2017. "Global Dynamics in a Search and Matching Model of the Labor Market," Working Paper 17-12, Federal Reserve Bank of Richmond.
    • Handle: RePEc:fip:fedrwp:17-12
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    References listed on IDEAS

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    1. Antonella Trigari, 2009. "Equilibrium Unemployment, Job Flows, and Inflation Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(1), pages 1-33, February.
    2. Kennedy, Judy A. & Stockman, David R., 2008. "Chaotic equilibria in models with backward dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 939-955, March.
    3. Robert E. Hall & Sam Schulhofer-Wohl, 2018. "Measuring Job-Finding Rates and Matching Efficiency with Heterogeneous Job-Seekers," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(1), pages 1-32, January.
    4. Marcus Hagedorn & Iourii Manovskii, 2008. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited," American Economic Review, American Economic Association, vol. 98(4), pages 1692-1706, September.
    5. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60, March.
    6. Ernst, Ekkehard & Semmler, Willi, 2010. "Global dynamics in a model with search and matching in labor and capital markets," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1651-1679, September.
    7. Bhattacharya, J. & Bunzel, H., 2003. "Chaotic Planning Solutions in the Textbook Model of Labor Market Search and Matching," Discussion Paper 2003-15, Tilburg University, Center for Economic Research.
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    More about this item

    Keywords

    Indeterminacy; Bifurcation; Chaos; Backward Map; Forward Map;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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