Overview
- Develops the turnpike theory for a new class of optimal control problems related to a general model of economic growth
- Expounds the turnpike theory for a new class of autonomous optimal control problems related to the RSS model
- Studies the stability of the turnpike phenomenon for the new classes of optimal control problems
Part of the book series: Monographs in Mathematical Economics (MOME, volume 5)
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Table of contents (10 chapters)
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About this book
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.
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Bibliographic Information
Book Title: Optimal Control Problems Arising in Mathematical Economics
Authors: Alexander J. Zaslavski
Series Title: Monographs in Mathematical Economics
DOI: https://doi.org/10.1007/978-981-16-9298-7
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-16-9297-0Published: 29 June 2022
Softcover ISBN: 978-981-16-9300-7Published: 30 June 2023
eBook ISBN: 978-981-16-9298-7Published: 28 June 2022
Series ISSN: 2364-8279
Series E-ISSN: 2364-8287
Edition Number: 1
Number of Pages: XI, 378
Number of Illustrations: 1 b/w illustrations
Topics: Continuous Optimization, Optimization