Differential-difference equations in economics: On the numerical solution of vintage capital growth models

Journal of Economic Dynamics and Control

Volumn 21, Issue 2-3, 1997, Pages 347-362

  Boucekkine, Raouf ^a   Licandro, Omar ^a,b   Paul, Christopher ^c  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b Foundation for Applied Economic Research FEDEA   (Spain)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Differential difference equations; Economic growth theory; Numerical solution; State dependence; Vintage capital

Indexed keywords

EID: 0031065897     PISSN: 01651889     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-1889(96)00935-9     Document Type: Article

References (14)

1. Baker, C.T.H. and C.A.H. Paul, 1993a, Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations, Advances in Computational Mathematics 1, 367-394.
2. Baker, C.T.H. and C.A.H. Paul, 1993b, A global convergence theorem for a class of parallel continuous explicit Runge-Kutta methods and vanishing lag delay differential equations, SIAM Journal of Numerical Analysis, forthcoming.
3. Bellman, R.E. and K.L. Cooke, 1963, Differential-difference equations, Mathematics in science and engineering 6 (Academic Press, London).
4. Benhabib, J. and A. Rustichini, 1991, Vintage capital, investment and growth, Journal of Economic Theory 55, 323-339.
5. Boucekkine, R., M. Germain, and O. Licandro, 1996, Replacement echoes in the vintage capital growth model, Journal of Economic Theory, forthcoming.
6. Caballero, R.J. and M.L. Hammour, 1994, The cleansing effects of recessions, American Economic Review 84, 1350-1368.
7. Christiano, L.J. and M. Eichenbaum, 1992, Current real business theories and aggregate labor market fluctuations, American Economic Review 82, 430-450.
8. Cooley, T.F., J. Greenwood, and M. Yorukoglu, 1994, The replacement problem, Discussion paper no. 95 (Institute for Empirical Macroeconomics, Minneapolis, MN).
9. Dormand, J.R. and P.J. Prince, 1980, A family of embedded Runge-Kutta formulae, Journal of Computational and Applied Mathematics 6, 19-26.
10. Malcomson, J., 1975, Replacement and the rental value of capital equipment subject to obsolescence, Journal of Economic Theory 10, 24-41.
11. Shampine, L.F., 1985, Interpolation for Runge-Kutta methods, SIAM Journal of Numerical Analysis 22, 1014-1026.
12. Solow, R., J. Tobin, C. von Weizsacker, and M. Yaari, 1966, Neoclassical growth with fixed factor proportions, Review of Economic Studies 33, 79-115.
13. Van Hilten, O., 1991, The optimal lifetime of capital equipment, Journal of Economic Theory 55, 449-454.
14. Willé, D.R. and C.T.H. Baker, 1992, The tracking of derivative discontinuities in systems of delay differential equations, Applied Numerical Mathematics 9, 223-234.