IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-03e00007.html
   My bibliography  Save this article

Dynamics of the planning solution in the discrete-time textbook model of labor market search and matching

Author

Listed:
  • Joydeep Bhattacharya

    (Iowa State University)

  • Helle Bunzel

    (Iowa State University)

Abstract

This paper takes a discrete-time adaptation of the continuous-time matching economy described in Pissarides (1990, 2000), and computes the solution to the dynamic planning problem. The solution is shown to be completely characterized by a first-order, non-linear map. We show that the map admits a unique stationary solution which is dynamically unstable. Oscillatory solutions are possible but there is no possibility of periodic solutions. The planner picks the initial condition that places the economy directly on the steady state. Our results are in sharp contrast to received wisdom on out-of-steady-state dynamics in the continuous-time decentralized version of the Pissarides model where adjustment to the steady state is non-instantaneous, and overshooting of vacancies is possible.

Suggested Citation

  • Joydeep Bhattacharya & Helle Bunzel, 2003. "Dynamics of the planning solution in the discrete-time textbook model of labor market search and matching," Economics Bulletin, AccessEcon, vol. 5(19), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-03e00007
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2003/Volume5/EB-03E00007A.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:bla:obuest:v:61:y:1999:i:3:p:343-64 is not listed on IDEAS
    2. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-619, June.
    3. Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
    4. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
    5. Yuan, Mingwei & Li, Wenli, 2000. "Dynamic employment and hours effects of government spending shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1233-1263, July.
    6. Garibaldi, Pietro & Wasmer, Etienne, 2001. "Labor Market Flows and Equilibrium Search Unemployment," IZA Discussion Papers 406, Institute of Labor Economics (IZA).
    7. Karen Mumford & Peter N. Smith, 1999. "The Hiring Function Reconsidered: on Closing the Circle," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(3), pages 343-364, August.
    8. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    9. Raquel Fonseca & Rafael Muñoz, 2003. "Can the matching model account for Spanish unemployment?," Investigaciones Economicas, Fundación SEPI, vol. 27(2), pages 277-308, May.
    10. Medio, Alfredo, 1998. "Nonlinear Dynamics And Chaos Part I: A Geometrical Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 2(4), pages 505-532, December.
    11. Dale T. Mortensen, 1991. "Equilibrium Unemployment Cycles," Discussion Papers 939, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. Cole, Harold L & Rogerson, Richard, 1999. "Can the Mortensen-Pissarides Matching Model Match the Business-Cycle Facts?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 933-959, November.
    13. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
    14. repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
    15. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    16. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    17. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(3), pages 287-321, September.
    18. Drazen, Allan, 1988. "Self-fulfilling Optimism in a Trade-Friction Model of the Business Cycle," American Economic Review, American Economic Association, vol. 78(2), pages 369-372, May.
    19. Eran Yashiv, 2000. "The Determinants of Equilibrium Unemployment," American Economic Review, American Economic Association, vol. 90(5), pages 1297-1322, December.
    20. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
    21. Shi, Shouyong & Wen, Quan, 1999. "Labor market search and the dynamic effects of taxes and subsidies," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 457-495, April.
    22. Cooley, Thomas F. & Quadrini, Vincenzo, 1999. "A neoclassical model of the Phillips curve relation," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 165-193, October.
    23. Jess Benhabib & Richard H. Day, 1981. "Rational Choice and Erratic Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 459-471.
    24. Mitra, Tapan & Nishimura, Kazuo, 2001. "Introduction to Intertemporal Equilibrium Theory: Indeterminacy, Bifurcations, and Stability," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 1-12, January.
    25. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    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. Matthias S. Hertweck & Vivien Lewis & Stefania Villa, 2021. "Going the Extra Mile: Effort by Workers and Job‐Seekers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(8), pages 2099-2127, December.
    2. Riccardo Zago, 2020. "Job Polarization, Skill Mismatch and the Great Recession," Working papers 755, Banque de France.

    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. Bhattacharya, Joydeep & Bunzel, Helle, 2003. "Dynamics of the Planning Solution in the Discrete-Time Textbook Model of Labor Market Search and Matching," Staff General Research Papers Archive 10253, Iowa State University, Department of Economics.
    2. Bhattacharya, J. & Bunzel, H., 2003. "Chaotic Planning Solutions in the Textbook Model of Labor Market Search and Matching," Other publications TiSEM da7233db-ec71-41f8-b3d6-d, Tilburg University, School of Economics and Management.
    3. repec:ebl:ecbull:v:5:y:2003:i:19:p:1-10 is not listed on IDEAS
    4. Duffie, Darrell & Qiao, Lei & Sun, Yeneng, 2018. "Dynamic directed random matching," Journal of Economic Theory, Elsevier, vol. 174(C), pages 124-183.
    5. Mathan Satchi & Jonathan Temple, 2006. "Growth and labour markets in developing countries," Bristol Economics Discussion Papers 06/581, School of Economics, University of Bristol, UK.
    6. Thomas A. Lubik & Michael U. Krause, 2004. "On-the-Job Search and Business Cycle Dynamics," Econometric Society 2004 North American Summer Meetings 489, Econometric Society.
    7. Yashiv, Eran, 2007. "Labor search and matching in macroeconomics," European Economic Review, Elsevier, vol. 51(8), pages 1859-1895, November.
    8. Thomas, Carlos, 2008. "Search and matching frictions and optimal monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(5), pages 936-956, July.
    9. Reinout De Bock, 2007. "Investment-Specific Technology Shocks and Labor Market Frictions," Working Paper Research 108, National Bank of Belgium.
    10. Petrosky-Nadeau, Nicolas & Wasmer, Etienne, 2015. "Macroeconomic dynamics in a model of goods, labor, and credit market frictions," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 97-113.
    11. Gerke, Rafael & Rubart, Jens, 2003. "Search Unemployment in a Dynamic New Keynesian Model of the Business Cycle," Darmstadt Discussion Papers in Economics 119, Darmstadt University of Technology, Department of Law and Economics.
    12. Wesselbaum, Dennis, 2009. "Firing costs in a New Keynesian model with endogenous separations," Kiel Working Papers 1550, Kiel Institute for the World Economy (IfW Kiel).
    13. Ravenna, Federico & Walsh, Carl E., 2008. "Vacancies, unemployment, and the Phillips curve," European Economic Review, Elsevier, vol. 52(8), pages 1494-1521, November.
    14. Campolmi, Alessia & Faia, Ester, 2011. "Labor market institutions and inflation volatility in the euro area," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 793-812, May.
    15. Carl E. Walsh, 2005. "Labor Market Search, Sticky Prices, and Interest Rate Policies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 829-849, October.
    16. Yashiv, Eran, 2006. "Evaluating the performance of the search and matching model," European Economic Review, Elsevier, vol. 50(4), pages 909-936, May.
    17. Krause, M.U. & Lubik, T.A., 2004. "On-the-job Search and the Cyclical Dynamics of the Labor Market," Other publications TiSEM 08a72137-ff72-4e18-add3-1, Tilburg University, School of Economics and Management.
    18. Richard Rogerson & Robert Shimer & Randall Wright, 2004. "Search-Theoretic Models of the Labor Market-A Survey," NBER Working Papers 10655, National Bureau of Economic Research, Inc.
    19. Yaniv Yedid-Levi, 2016. "Why does employment in all major sectors move together over the business cycle?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 22, pages 131-156, October.
    20. Christopher A. Pissarides & Barbara Petrongolo, 2001. "Looking into the Black Box: A Survey of the Matching Function," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 390-431, June.
    21. Thomas B. King, 2005. "Labor productivity and job-market flows: trends, cycles, and correlations," Supervisory Policy Analysis Working Papers 2005-04, Federal Reserve Bank of St. Louis.

    More about this item

    Keywords

    dynamics;

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • J6 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers

    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:ebl:ecbull:eb-03e00007. 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: John P. Conley (email available below). General contact details of provider: .

    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.