Differential-difference equations in economics: On the numerical solution of vintage capital growth models
In this paper, we examine techniques for the analytical and numerical solution of statedependent differential-difference equations. Such equations occur in the continuous time modelling of vintage capital growth models, which form a particularly important class of models in modern economic growth theory. The theoretical treatment of non-statedependent differential-difference equations in economics has already been discussed by Benhabib and Rustichini (1991). In general, though, the state-dependence of a model prevents its analytical solution in all but the simplest of cases. We review a numerical method for solving state-dependent models, using some simple examples to illustrate our discussion. In addition, we analyse the Solow vintage capital growth model. We conclude by mentioning a crucial unresolved issue related to this topic.
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- Cooley, T.F. & Greenwood, J. & Yorukoglu, M., 1995.
"The Replacement Problem,"
UWO Department of Economics Working Papers
9508, University of Western Ontario, Department of Economics.
- Cooley, T.F. & Greenwood, J. & Yorukoglu, M., 1997. "The Replacement Problem," RCER Working Papers 444, University of Rochester - Center for Economic Research (RCER).
- Thomas F. Cooley & Jeremy Greenwood & Mehmet Yorukoglu, 1994. "The replacement problem," Discussion Paper / Institute for Empirical Macroeconomics 95, Federal Reserve Bank of Minneapolis.
- Thomas F. Cooley & Jeremy Greenwood & Mehmet Yorukoglu, 1994. "The Replacement Problem," Working Papers 9408, Centro de Investigacion Economica, ITAM.
- Benhabib, Jess & Rustichini, Aldo, 1991.
"Vintage capital, investment, and growth,"
Journal of Economic Theory,
Elsevier, vol. 55(2), pages 323-339, December.
- Benhabib, Jess & Rustichini, Aldo, 1990. "Vintage Capital, Investment And Growth," Working Papers 90-22, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Lawrence J. Christiano & Martin Eichenbaum, 1990.
"Current real business cycle theories and aggregate labor market fluctuations,"
Working Paper Series, Macroeconomic Issues
90, Federal Reserve Bank of Chicago.
- Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-50, June.
- Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Discussion Paper / Institute for Empirical Macroeconomics 24, Federal Reserve Bank of Minneapolis.
- Raouf Boucekkine & Marc Germain & Omar Licandro, .
"Replacement echoes in the vintage capital growth model,"
- Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
- Boucekkine, R. & Germain, M. & Licandro, O., . "Replacement echoes in the vintage capital growth model," CORE Discussion Papers RP -1275, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Caballero, Ricardo J & Hammour, Mohamad L, 1994.
"The Cleansing Effect of Recessions,"
American Economic Review,
American Economic Association, vol. 84(5), pages 1350-68, December.
- Ricardo J. Caballero & Mohamad L. Hammour, 1991. "The Cleansing Effect of Recessions," NBER Working Papers 3922, National Bureau of Economic Research, Inc.
- Caballero, R.J. & Hammour, M.L., 1991. "The Cleansing Effect of Recessions," Discussion Papers 1991_59, Columbia University, Department of Economics.
- Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
- van Hilten, Onno, 1991. "The optimal lifetime of capital equipment," Journal of Economic Theory, Elsevier, vol. 55(2), pages 449-454, December.
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