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Dynamics of the Planning Solution in the Discrete-Time Textbook Model of Labor Market Search and Matching

  • Bhattacharya, Joydeep
  • Bunzel, Helle

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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File URL: http://www2.econ.iastate.edu/papers/p1826-2003-03-01.pdf
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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers Archive with number 10253.

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Date of creation: 01 Mar 2003
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Publication status: Published in Economics Bulletin, December 2003, vol. 5 no. 19, pp. 1-10
Handle: RePEc:isu:genres:10253
Contact details of provider: Postal:
Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070

Phone: +1 515.294.6741
Fax: +1 515.294.0221
Web page: http://www.econ.iastate.edu
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  1. Fonseca, Raquel & Muñoz, Rafael, 1999. "Can the Matching Model Account for Spanish Unemployment ?," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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  4. Barbara Petrongolo & Christopher A. Pissarides, 2000. "Looking Into the Black Box: A Survey of the Matching Function," CEP Discussion Papers dp0470, Centre for Economic Performance, LSE.
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  11. Fudenberg, Drew & Diamond, Peter, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Scholarly Articles 3374509, Harvard University Department of Economics.
  12. 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.
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  14. 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.
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  18. 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.
  19. 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.
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  24. repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
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