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Dynamic and Stochastic Search Equilibrium

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Abstract

I study the business cycle properties of wage posting models with random search, for which the distributions of employment and wages play a nontrivial role for the equilibrium path. In fact, the main result of this paper is that the distribution of firms is one of the most important elements to understand business cycle fluctuations in the labor market. The distribution of firms (1) determines which shocks are relevant for the labor market, (2) implies that wage rigidity does not significantly amplify shocks, and (3) puts discipline on the relative value of the flow opportunity cost of employment. To assess these type of models quantitatively, I propose a new algorithm that finds the steady state and computes transitional dynamics rapidly. Hence, integrating wage posting models with random search to larger models becomes possible (and easy) with this new algorithm.

Suggested Citation

  • Camilo Morales-Jimenez, 2022. "Dynamic and Stochastic Search Equilibrium," Finance and Economics Discussion Series 2022-018, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2022-18
    DOI: 10.17016/FEDS.2022.018
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    References listed on IDEAS

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    1. Ryan A. Decker & John Haltiwanger & Ron S. Jarmin & Javier Miranda, 2020. "Changing Business Dynamism and Productivity: Shocks versus Responsiveness," American Economic Review, American Economic Association, vol. 110(12), pages 3952-3990, December.
    2. John Haltiwanger & Henry Hyatt & Erika McEntarfer, 2015. "Cyclical Reallocation of Workers Across Employers by Firm Size and Firm Wage," NBER Working Papers 21235, National Bureau of Economic Research, Inc.
    3. Thomas A. Lubik, 2009. "Estimating a search and matching model of the aggregate labor market," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 95(Spr), pages 101-120.
    4. Mark Gertler & Antonella Trigari, 2009. "Unemployment Fluctuations with Staggered Nash Wage Bargaining," Journal of Political Economy, University of Chicago Press, vol. 117(1), pages 38-86, February.
    5. Coles, Melvyn & Mortensen, Dale T., 2011. "Equilibrium Wage and Employment Dynamics in a Model of Wage Posting without Commitment," IZA Discussion Papers 5900, Institute of Labor Economics (IZA).
    6. repec:hal:spmain:info:hdl:2441/59cr4u3mmr9pobrceptvua5g8c is not listed on IDEAS
    7. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
    8. Giuseppe Moscarini & Fabien Postel-Vinay, 2016. "Wage Posting and Business Cycles," American Economic Review, American Economic Association, vol. 106(5), pages 208-213, May.
    9. Giuseppe Moscarini & Fabien Postel-Vinay, 2012. "The Contribution of Large and Small Employers to Job Creation in Times of High and Low Unemployment," American Economic Review, American Economic Association, vol. 102(6), pages 2509-2539, October.
    10. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
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    More about this item

    Keywords

    Wage Posting; Search and Matching; Stochastic Simulations;
    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
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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