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Dynamic Models of the Firm - Determining Optimal Investment, Financing and Production Policies by Computer (Paperback, Softcover reprint of the original 1st ed. 1996)
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Dynamic Models of the Firm - Determining Optimal Investment, Financing and Production Policies by Computer (Paperback, Softcover reprint of the original 1st ed. 1996)
Series: Lecture Notes in Economics and Mathematical Systems, 434
Expected to ship within 10 - 15 working days
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The research described in this book contributes to the scientific
field of optimal control theory applied to dynamic models of the
firm. In 1963, Jorgenson first wrote about the use of optimal
control theory in order to analyze the dynamic investment behaviour
of a hypothetical firm. A decade later, reports appeared of work on
more realistic models of the firm carried out by, amongst others,
Lesourne [1973) and Bensoussan et al. [1974). In The Netherlands,
P. A. Verheyen, Professor of Management Science at Tilburg
University, further instigated studies in this field which led to
several publications, for example: Van Loon [1983], Van Schijndel
[1988), Kort [1989]' Van Hilten [1991) and Van Hilten et al.
[1993). Their investigations are char- acterized by an analytical
approach to optimization problems (The Maximum Principle of
Pontryagin combined with the path coupling procedure of Van Loon).
Inherent to this approach, a good economic interpretation of
solutions is obtained; however, analytical solving becomes
practically unfeasible when simulation models become more complex,
e. g. by stronger non-linearity, explic- itly time-dependent
functions and larger numbers of state variables, control variables
and subsidiary conditions. For example, the path coupling procedure
is complicated for optimization problems where discontinuities in
the costate variables occur. At Eindhoven University of Technology,
P. M. E. M.
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