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Labor adjustment costs and complex eigenvalues

Author

Listed:
  • Xavier Fairise

    (GAINS - Groupe d'Analyse des Itinéraires et des Niveaux Salariaux - UM - Le Mans Université)

  • Patrick Fève

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

Aggregate variables display both persistence and damped oscillations in response to temporary external shocks. The standard real business cycles (RBC) model cannot explain these patterns, because its stable eigenvalues are positive and real. We demonstrate that this model with labor adjustment costs can yield complex eigenvalues. However, numerical experiments suggest that the model cannot display distinguishable damped oscillations of aggregate variables.

Suggested Citation

  • Xavier Fairise & Patrick Fève, 2005. "Labor adjustment costs and complex eigenvalues," Post-Print hal-04318788, HAL.
    • Handle: RePEc:hal:journl:hal-04318788
    DOI: 10.1007/s00199-005-0007-0
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    References listed on IDEAS

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    1. Costas Azariadis & James B. Bullard & Lee E. Ohanian, 1998. "Complex eigenvalues and trend-reverting fluctuations," Staff Report 255, Federal Reserve Bank of Minneapolis.
    2. Fairise, Xavier & Langot, Francois, 1994. "Labor productivity and the business cycle: Can R.B.C. models be saved?," European Economic Review, Elsevier, vol. 38(8), pages 1581-1594, October.
    3. Magill, Michael J P, 1979. "The Stability of Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 577-597, October.
    4. Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004. "Trend-reverting fluctuations in the life-cycle model," Journal of Economic Theory, Elsevier, vol. 119(2), pages 334-356, December.
    5. Burnside, Craig & Eichenbaum, Martin & Rebelo, Sergio, 1993. "Labor Hoarding and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 245-273, April.
    6. Walter Y. Oi, 1962. "Labor as a Quasi-Fixed Factor," Journal of Political Economy, University of Chicago Press, vol. 70, pages 538-538.
    7. Hercowitz, Zvi & Sampson, Michael, 1991. "Output Growth, the Real Wage, and Employment Fluctuations," American Economic Review, American Economic Association, vol. 81(5), pages 1215-1237, December.
    8. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    9. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    10. Cassing, Shirley & Kollintzas, Tryphon, 1991. "Recursive Factor of Production Interrelations and Endogenous Cycling," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 417-440, May.
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    Cited by:

    1. Matsue, Toyoki, 2019. "Employment fluctuations in a dynamic model with long-term and short-term contracts," MPRA Paper 97545, University Library of Munich, Germany.
    2. Chang, Juin-jen & Huang, Chun-chieh & Lai, Ching-chong, 2007. "Working hours reduction and wage contracting style in a dynamic model with labor adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 971-993, March.

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    More about this item

    Keywords

    Labor adjustment costs; Business cycle model; Complex eigenvalues;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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