Boucekkine, Raouf and Licandro, Omar and Puch, Luis A. and Rio, Fernando del (2003) Vintage capital and the dynamics of the AK model. [ Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE); nº 0310, 2003, ]
Official URL: http://eprints.ucm.es/7690/
This paper analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed between investment and growth rates time series. To characterize the optimal solutions of the model we develop
analytical and numerical methods that should be of interest for the general resolution of endogenous growth models with vintage capital.
|Item Type:||Working Paper or Technical Report|
JEL classification numbers: E22, E32, O40
|Uncontrolled Keywords:||Endogenous growth, Vintage capital, AK model, Difference-differential equations|
|Subjects:||Social sciences > Economics > Econometrics|
|Series Name:||Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)|
Aghion, P. and P. Howitt (1994), “Growth and unemployment,” Review of Economic Studies 61, 477-494.
Arrow, K. (1962), “The economic implications of learning by doing,” Review of Economic Studies 29, 155-173.
Asea, P. and P. Zak (1999), “Time to build and cycles,” Journal of Economic Dynamics and Control 23, 1155-1175.
Askenazy, P. and C. Le Van (1999), “A model of optimal growth strategy,” Journal of Economic Theory 85, 24-51.
Bellman, R. and K. Cooke (1963), Diﬀerential-Diﬀerence Equations. Academic Press.
Benhabib, J. and A. Rustichini (1991), “Vintage capital, investment, and growth,” Journal of Economic Theory 55, 323-339.
Boucekkine, R., M. Germain and O. Licandro (1997), "Replacement echoes in the vintage capital growth model,” Journal of Economic Theory 74, 333-348.
Boucekkine, R., M. Germain, O. Licandro and A. Magnus (2001), “Numerical solution by iterative methods of a class of vintage capital models,” Journal of Economic Dynamics and Control, 25(5), 655-699.
Engelborghs, K. and D. Roose (1999), “Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay diﬀerential equations,” Advances in Computational Mathematics 10, 271-289.
Gort, M., J. Greenwood and P. Rupert (1999), “Measuring the rate of technological progress in structures,” Review of Economic Dynamics 2, 207-230.
Greenwood, J., Z. Hercowitz and P. Krusell (1998), “Lung-run implications of investment-speciﬁc technological change,” American Economic Review 87, 342-362.
Greenwood, J. and B. Jovanovic (1998), “Accounting for growth,” NBER 6647.
Hale, J. (1977), Theory of Functional Diﬀerential Equations. Springer-Verlag.
Hayes, N. (1950), “Roots of the transcendental equation associated with a certain diﬀerence-diﬀerential equation,” Journal of the London Mathematical Society 25, 226-232.
Johansen, L. (1959), “Substitution vs. ﬁxed production coeﬃcients in the theory of economic growth: a synthesis,” Econometrica 27(2), 157-176.
Jones, C. (1995), “Time series tests of endogenous growth models,” Quarterly Journal of Economics 110, 495-525.
Jovanovic, B. and R. Rob (1997), “Solow vs. Solow: Machine Prices and Development,” NBER 5871.
Kocherlakota, N. and K. Yi (1995), “Can convergence regressions distinguish between exogenous and endogenous growth models,” Economics Letters 49, 211-215.
Kocherlakota, N. and K. Yi (1997), “Is there endogenous long-run growth? Evidence from the United States and the United Kingdom,” Journal of Money, Credit, and Banking 29, 235-262.
Kolmanovskii, V. and A. Myshkis (1998), Introduction to the Theory and Applications of Functional Diﬀerential Equations. Kluwer Academic Publishers.
Luenberger, D. G. (1973), Introduction to Linear and Nonlinear Programming. Addison-Wesley.
Michel, P. (1982), “On the Transversality Condition in Inﬁnite Horizon Optimal Problems,” Econometrica, 50(4), 975-986.
McCallum, B. (1996), “Neoclassical vs. endogenous growth analysis,” Federal Reserve Bank of Richmond Economics Quarterly 2/4.
McGrattan, E. (1998), “A defense of AK growth models,” Quarterly Review of the Federal Reserve Bank of Minneapolis Fall 1998.
Parente. S. (1994), “Technology adoption, learning by doing, and economic growth,” Journal of Economic Theory 63, 346-369.
Reblelo, S. (1991), “Long-run Policy Analysis and Long-run Growth,” Journal of Political Economy 99(3), 500-521.
Solow, R. (1960), “Investment and Technological Progress” in K. J. Arrow, S. Karlin and P. Suppe, eds., Mathematical Methods in the Social Sciences 1959, Stanford CA, Stanford University Press.
Whelan, K. (2000), “Computers, obsolescence and productivity” Federal Reserve Board, Finance and Economics DS 2000 -6.
|Deposited On:||10 Mar 2008|
|Last Modified:||06 Feb 2014 07:55|
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