Dynamics of the Planning Solution in the Discrete-Time Textbook Model of Labor Market Search and Matching
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.
|Date of creation:||01 Mar 2003|
|Publication status:||Published in Economics Bulletin, December 2003, vol. 5 no. 19, pp. 1-10|
|Contact details of provider:|| Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070|
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Web page: http://www.econ.iastate.edu
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- Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
- Raquel Fonseca & Rafael Muñoz, 2003.
"Can the matching model account for Spanish unemployment?,"
Fundación SEPI, vol. 27(2), pages 277-308, May.
- 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).
- Fonseca, Raquel & Munoz, Rafael, 2002. "Can the matching model account for Spanish unemployment?," CEPREMAP Working Papers (Couverture Orange) 0203, CEPREMAP.
- Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
- Karen Mumford & Peter N. Smith, "undated".
"The Hiring Function Reconsidered: On Closing The Circle,"
96/45, Department of Economics, University of York.
- Mumford, Karen & Smith, Peter N, 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.
- Karen Mumford & P Smith, 1997. "The Hiring Function Reconsidered: On Closing the Circle," CEP Discussion Papers dp0359, Centre for Economic Performance, LSE.
- Yuan, M. & Li, W., 1999.
"Dynamic Employment and Hours Effects of Government Spending Shocks,"
Staff Working Papers
99-1, Bank of Canada.
- 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.
- Barbara Petrongolo & Christopher Pissarides, 2000.
"Looking into the black box: a survey of the matching function,"
LSE Research Online Documents on Economics
2122, London School of Economics and Political Science, LSE Library.
- 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.
- 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.
- 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.
- Peter Diamond & Drew Fudenberg, 1987.
"Rational Expectations Business Cycles in Search Equilibrium,"
465, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Fudenberg, Drew & Diamond, Peter, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Scholarly Articles 3374509, Harvard University Department of Economics.
- 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.
- 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.
- Jess Benhabib & Richard H. Day, 1981. "Rational Choice and Erratic Behaviour," Review of Economic Studies, Oxford University Press, vol. 48(3), pages 459-471.
- Garibaldi, Pietro & Wasmer, Etienne, 2001. "Labor Market Flows and Equilibrium Search Unemployment," IZA Discussion Papers 406, Institute for the Study of Labor (IZA).
- repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
- Medio, Alfredo, 1998. "Nonlinear Dynamics And Chaos Part I: A Geometrical Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 2(04), pages 505-532, December.
- Eran Yashiv, 2000.
"The Determinants of Equilibrium Unemployment,"
American Economic Review,
American Economic Association, vol. 90(5), pages 1297-1322, December.
- 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.
- Grandmont Jean-michel, 1983.
"On endogenous competitive business cycles,"
CEPREMAP Working Papers (Couverture Orange)
- Harold L. Cole & Richard Rogerson, 1996.
"Can the Mortonson-Pissarides matching model match the business cycle facts?,"
224, Federal Reserve Bank of Minneapolis.
- 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.
- 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.
- Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
- 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.
- 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.
- 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.
- 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.
- Dale T. Mortensen, 1991. "Equilibrium Unemployment Cycles," Discussion Papers 939, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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