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

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Author Info
Joydeep Bhattacharya () (Iowa State University)
Helle Bunzel () (Iowa State University)

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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.

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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 5 (2003)
Issue (Month): 19 ()
Pages: 1-10
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:5:y:2003:i:19:p:1-10

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Related research
Keywords: dynamics; matching; planning solution; search;

Find related papers by JEL classification:
E0 - Macroeconomics and Monetary Economics - - General
J6 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies

References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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 369-72, May. [Downloadable!] (restricted)
  4. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-19, June. [Downloadable!] (restricted)
    Other versions:
  5. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-94, October. [Downloadable!] (restricted)
    Other versions:
  6. 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. [Downloadable!] (restricted)
  7. Yuan, M. & Li, W., 1999. "Dynamic Employment and Hours Effects of Government Spending Shocks," Working Papers 99-1, Bank of Canada.
    Other versions:
  8. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September. [Downloadable!] (restricted)
  9. Eran Yashiv, 2000. "The Determinants of Equilibrium Unemployment," American Economic Review, American Economic Association, vol. 90(5), pages 1297-1322, December. [Downloadable!] (restricted)
    Other versions:
  10. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October. [Downloadable!] (restricted)
  11. Dale T. Mortensen, 1991. "Equilibrium Unemployment Cycles," Discussion Papers 939, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  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 933-59, November.
    Other versions:
  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. [Downloadable!] (restricted)
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