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This book serves not only as an introduction, but also as an advanced text and reference source in the field of deterministic optimal control systems governed by ordinary differential equations. It also includes an introduction to the classical calculus of variations.
An important feature of the book is the inclusion of a large number of examples, in which the theory is applied to a wide variety of economics problems. The presentation of simple models helps illuminate pertinent qualitative and analytic points, useful when confronted with a more complex reality. These models cover: economic growth in both open and closed economies, exploitation of (non-) renewable resources, pollution control, behaviour of firms, and differential games. A great emphasis on precision pervades the book, setting it apart from the bulk of literature in this area. The rigorous techniques presented should help the reader avoid errors which often recur in the application of control theory within economics.
- Sales Rank: #722734 in Books
- Published on: 1987-02-15
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.00" w x 6.14" l, 1.87 pounds
- Binding: Hardcover
- 462 pages
Review
Frederick van der Ploeg
... will be useful for graduate students and researchers wanting a thorough guide to solving a few dimensional optimal control problems in economic theory.
Economic Journal
...can be recommended to any advanced economist. It will be valuable for everyone who is concerned with dynamical systems in economic theory. Moreover for a textbook it makes an essential contribution to the theory of optimal controls.
Journal of Economics, 1989
St. Jørgensen
... a valuable addition to the literature on optimal control of economic processes.
Zentralblatt für Mathematik
G. Feichtinger
I highly recommend the book which is in my opinion the best text on economic applications of optimal control theory being on market. Moreover, there is no doubt that it is also of interest to non-economists.
Zeitschrift für Operations Research - Series A: Theory
Most helpful customer reviews
11 of 11 people found the following review helpful.
Still the best guide ever to Optimal Control for Economists
By A Customer
There are a number of standard textbooks in optimal control theory for economists. This is the textbook for the guys that wrote the other textbooks. Both the Calculus of Variations and Optimal Control Theory is presented in a rigorous manner. The authors are however not wedded to rigour as they often present "rough" arguments when they suspect that presenting the results rigourously would exceed the proficiency one could reasonably expect from their economist readers.
When the book was written it was not only a textbook but also an important piece of research. The reprint, appearing 10 years later, still presents the ideas with remarkable freshness. The discussion of transversality conditions in infinite horizon models should be read by all economists using these models and corrects some other textbooks where the topic has been bungled. The discussion of jump controls is superb.
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