Skip to main content

Problems of optimal economic investments with finite lifetime capital

  • Economic Models
  • Conference paper
  • First Online:
5th Conference on Optimization Techniques Part II (Optimization Techniques 1973)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 4))

Included in the following conference series:

  • 2406 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

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).

    Google Scholar 

  • Canon, M.D., Cullum, C.D., and Polak, E., Theory of Optimal Control and Mathematical Programming, Mc Graw Hill, New York (1970).

    Google Scholar 

  • Luenberger, D.L., Cyclic Dynamic Programming: a Procedure for Problems with Fixed Delay, Operations Research, 19, 1101–1110 (1971).

    Google Scholar 

  • Pearson, J.B., and Sridhar, R. A Discrete Optimal Control Problem, IEEE Trans. on Auto. Cont., AC-11, 171–174 (1966).

    Google Scholar 

  • Tinbergen, J., and Bos, H.C. Mathematical Models of Economic Growth, Mc Graw Hill, New York (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

R. Conti A. Ruberti

Rights and permissions

Reprints 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

Publish with us

Policies and ethics