Abstract
The optimum economic dynamic investments problem has been investigated in the case of finite lifetime investments. The problem is reformulated in such a way that, by using mathematical programming, it is possible to derive general canonical optimum necessary conditions. From these, a computer algorithm can be derived. For linear systems with convex performance index and concave constraints, the conditions found are both necessary and sufficient and may be posed in the form of a discrete maximum principle.
As examples of application, a macroeconomic growth model and a microeconomic plant investment model are considered.
Preview
Unable to display preview. Download preview PDF.
References
Bittanti, S., Fronza, G., and Cuardabassi, G., Discrete Periodic Optimization, Internal Report 72–13, Ist. Elettrotecnica ed Elettronica, Pol. Milano (1972).
Canon, M.D., Cullum, C.D., and Polak, E., Theory of Optimal Control and Mathematical Programming, Mc Graw Hill, New York (1970).
Luenberger, D.L., Cyclic Dynamic Programming: a Procedure for Problems with Fixed Delay, Operations Research, 19, 1101–1110 (1971).
Pearson, J.B., and Sridhar, R. A Discrete Optimal Control Problem, IEEE Trans. on Auto. Cont., AC-11, 171–174 (1966).
Tinbergen, J., and Bos, H.C. Mathematical Models of Economic Growth, Mc Graw Hill, New York (1962).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1973 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nicoletti, B., Mariani, L. (1973). Problems of optimal economic investments with finite lifetime capital. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part II. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06600-4_25
Download citation
DOI: https://doi.org/10.1007/3-540-06600-4_25
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06600-2
Online ISBN: 978-3-540-37909-6
eBook Packages: Springer Book Archive