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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://www.econ.iastate.edu/sites/default/files/publications/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 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. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  2. Petrongolo, Barbara & Pissarides, Christopher, 2000. "Looking Into The Black Box: A Survey Of The Matching Function," CEPR Discussion Papers 2409, C.E.P.R. Discussion Papers.
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  12. 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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  19. Medio, Alfredo, 1998. "Nonlinear Dynamics And Chaos Part I: A Geometrical Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 2(04), pages 505-532, December.
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