IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v236y2024ics0165176524001046.html
   My bibliography  Save this article

Solving the Diamond–Mortensen–Pissarides model: A hybrid perturbation approach

Author

Listed:
  • Hänsel, Matthias

Abstract

Projection methods are deemed necessary to accurately solve various variants of the Diamond–Mortensen–Pissarides model used in business cycle research. This paper argues that hybrid perturbation, once combined with a non-linear change of variable, can provide an alternative, producing accurate solutions while retaining most of the simplicity of standard perturbation: Applying the method to the Hagedorn and Manovskii (2008) model, it delivers high accuracy and nearly identical business cycle moments as recent projection approaches.

Suggested Citation

  • Hänsel, Matthias, 2024. "Solving the Diamond–Mortensen–Pissarides model: A hybrid perturbation approach," Economics Letters, Elsevier, vol. 236(C).
    • Handle: RePEc:eee:ecolet:v:236:y:2024:i:c:s0165176524001046
    DOI: 10.1016/j.econlet.2024.111621
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176524001046
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2024.111621?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lawrence J. Christiano & Martin S. Eichenbaum & Mathias Trabandt, 2016. "Unemployment and Business Cycles," Econometrica, Econometric Society, vol. 84(4), pages 1523-1569, July.
    2. 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.
    3. Dale T. Mortensen, 1982. "The Matching Process as a Noncooperative Bargaining Game," NBER Chapters, in: The Economics of Information and Uncertainty, pages 233-258, National Bureau of Economic Research, Inc.
    4. Hong Lan, 2018. "Comparing Solution Methods for DSGE Models with Labor Market Search," Computational Economics, Springer;Society for Computational Economics, vol. 51(1), pages 1-34, January.
    5. Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Solving DSGE models with perturbation methods and a change of variables," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2509-2531, December.
    6. repec:wop:calsdi:97-23 is not listed on IDEAS
    7. Mark Gertler & Luca Sala & Antonella Trigari, 2008. "An Estimated Monetary DSGE Model with Unemployment and Staggered Nominal Wage Bargaining," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1713-1764, December.
    8. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    9. Lilia Maliar & Serguei Maliar & Sébastien Villemot, 2013. "Taking Perturbation to the Accuracy Frontier: A Hybrid of Local and Global Solutions," Computational Economics, Springer;Society for Computational Economics, vol. 42(3), pages 307-325, October.
    10. Jung, Philip & Kuester, Keith, 2011. "The (un)importance of unemployment fluctuations for the welfare cost of business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1744-1768, October.
    11. Garey Ramey & Wouter J. den Haan & Joel Watson, 2000. "Job Destruction and Propagation of Shocks," American Economic Review, American Economic Association, vol. 90(3), pages 482-498, June.
    12. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    13. David Wiczer, 2013. "Long-term Unemployment: Attached and Mismatched?," 2013 Meeting Papers 1101, Society for Economic Dynamics.
    14. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 217-227.
    15. Nils Gornemann & Keith Kuester & Makoto Nakajima, 2021. "Doves for the Rich, Hawks for the Poor? Distributional Consequences of Systematic Monetary Policy," ECONtribute Discussion Papers Series 089, University of Bonn and University of Cologne, Germany.
    16. Alena Miftakhova & Karl Schmedders & Malte Schumacher, 2020. "Computing Economic Equilibria Using Projection Methods," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 317-353, August.
    17. Nicolas Petrosky‐Nadeau & Lu Zhang, 2017. "Solving the Diamond–Mortensen–Pissarides model accurately," Quantitative Economics, Econometric Society, vol. 8(2), pages 611-650, July.
    18. Kenneth L. Judd, 2003. "Perturbation Methods and Change of Variable Transformations," Computing in Economics and Finance 2003 239, Society for Computational Economics.
    19. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-690, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:hal:psewpa:halshs-04788058 is not listed on IDEAS
    2. Francesco Del Prato & Marc Fleurbaey, 2024. "Workers as Partners: a Theory of Responsible Firms in Labor Markets," Papers 2411.05567, arXiv.org, revised Nov 2024.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kandoussi, Malak & Langot, François, 2022. "Uncertainty shocks and unemployment dynamics," Economics Letters, Elsevier, vol. 219(C).
    2. Eleni Iliopulos & François Langot & Thepthida Sopraseuth, 2019. "Welfare Cost of Fluctuations When Labor Market Search Interacts with Financial Frictions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(8), pages 2207-2237, December.
    3. Adjemian, Stéphane & Karamé, Frédéric & Langot, François, 2021. "Nonlinearities and Workers’ Heterogeneity in Unemployment Dynamics," Dynare Working Papers 71, CEPREMAP.
    4. Liu, Zheng & Miao, Jianjun & Zha, Tao, 2016. "Land prices and unemployment," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 86-105.
    5. Kuehn Lars-Alexander & Petrosky-Nadeau Nicolas & Zhang Lu, "undated". "An Equilibrium Asset Pricing Model with Labor Market Search," GSIA Working Papers 2010-E63, Carnegie Mellon University, Tepper School of Business.
    6. Mikhail Simutin & JessieJiaxu Wang & Lars Kuehn, 2014. "A Labor Capital Asset Pricing Model," 2014 Meeting Papers 695, Society for Economic Dynamics.
    7. Federico Di Pace & Matthias Hertweck, 2019. "Labor Market Frictions, Monetary Policy, and Durable Goods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 274-304, April.
    8. Zvi Eckstein & Ofer Setty & David Weiss, 2019. "Financial Risk And Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 475-516, May.
    9. Yashiv, Eran, 2007. "Labor search and matching in macroeconomics," European Economic Review, Elsevier, vol. 51(8), pages 1859-1895, November.
    10. Bodenstein, Martin & Kamber, Güneş & Thoenissen, Christoph, 2018. "Commodity prices and labour market dynamics in small open economies," Journal of International Economics, Elsevier, vol. 115(C), pages 170-184.
    11. Hashimoto, Ken-ichi & Ono, Yoshiyasu & Schlegl, Matthias, 2023. "Structural unemployment, underemployment, and secular stagnation," Journal of Economic Theory, Elsevier, vol. 209(C).
    12. Indrajit Mitra & Yu Xu, 2020. "Limited Household Risk Sharing: General Equilibrium Implications for the Term Structure of Interest Rates," FRB Atlanta Working Paper 2020-20, Federal Reserve Bank of Atlanta.
    13. Juan C. Córdoba & Anni T. Isojärvi & Haoran Li, 2023. "Endogenous Bargaining Power and Declining Labor Compensation Share," Finance and Economics Discussion Series 2023-030, Board of Governors of the Federal Reserve System (U.S.).
    14. Juan Guerra-Salas & Markus Kirchner & Rodrigo Tranamil, 2021. "Search Frictions and the Business Cycle in a Small Open Economy DSGE Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 39, pages 258-279, January.
    15. Ken-ichi Hashimoto & Yoshiyasu Ono & Matthias Schlegl, 2020. "Structural Unemployment, Underemployment, and Secular Stagnation," CESifo Working Paper Series 8318, CESifo.
    16. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    17. Nicolas Petrosky-Nadeau & Lu Zhang, 2013. "Solving the DMP Model Accurately," NBER Working Papers 19208, National Bureau of Economic Research, Inc.
    18. Vasilev, Aleksandar, 2020. "Search and matching frictions and business cycle fluctuations in Bulgaria," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(3), pages 319-340.
    19. Gabriel Chodorow-Reich & Loukas Karabarbounis, 2016. "The Cyclicality of the Opportunity Cost of Employment," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1563-1618.
    20. Engin Kara, 2024. "Unemployment volatility in a generalized staggered Nash wage bargaining framework," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 57(2), pages 378-400, May.

    More about this item

    Keywords

    Numerical methods; Search frictions; Unemployment; Hybrid perturbation; Business cycles;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:236:y:2024:i:c:s0165176524001046. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.