This book is devoted to the study of two large classes of
discrete-time optimal control problems arising in mathematical
economics. Nonautonomous optimal control problems of the first
class are determined by a sequence of objective functions and
sequence of constraint maps. They correspond to a general model of
economic growth. We are interested in turnpike properties of
approximate solutions and in the stability of the turnpike
phenomenon under small perturbations of objective functions and
constraint maps. The second class of autonomous optimal control
problems corresponds to another general class of models of
economic dynamics which includes the
Robinson–Solow–Srinivasan model as a particular
case. In Chap. 1 we discuss turnpike properties for a large
class of discrete-time optimal control problems studied in
the literature and for the Robinson–Solow–Srinivasan model. In
Chap. 2 we introduce the first class of optimal control problems
and study its turnpike property. This class of problems is also
discussed in Chaps. 3–6. In Chap. 3 we study the stability of the
turnpike phenomenon under small perturbations of the objective
functions. Analogous results for problems with discounting are
considered in Chap. 4. In Chap. 5 we study the stability of the
turnpike phenomenon under small perturbations of the objective
functions and the constraint maps. Analogous results for problems
with discounting are established in Chap. 6. The results of Chaps.
5 and 6 are new. The second class of problems is studied in Chaps.
7–9. In Chap. 7 we study the turnpike properties. The
stability of the turnpike phenomenon under small perturbations of
the objective functions is established in Chap. 8. In Chap.
9 we establish the stability of the turnpike phenomenon under small
perturbations of the objective functions and the constraint maps.
The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal
control problems related to a model of knowledge-based endogenous
economic growth and show the existence of trajectories of
unbounded economic growth and provide estimates for the growth
rate.
General
| Imprint: |
Springer Verlag, Singapore
|
| Country of origin: |
Singapore |
| Series: |
Monographs in Mathematical Economics, 5 |
| Release date: |
June 2023 |
| First published: |
2022 |
| Authors: |
Alexander J Zaslavski
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
378 |
| Edition: |
1st ed. 2022 |
| ISBN-13: |
978-981-16-9300-7 |
| Categories: |
Books
|
| LSN: |
981-16-9300-5 |
| Barcode: |
9789811693007 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(1)
