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Optimal Control Problems Arising in Mathematical Economics: 5 (Monographs in Mathematical Economics) - Tapa dura

Libro 5 de 6: Monographs in Mathematical Economics

Zaslavski, Alexander J.

 
9789811692970: Optimal Control Problems Arising in Mathematical Economics: 5 (Monographs in Mathematical Economics)
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ISBN 10: 9811692971 ISBN 13: 9789811692970
Editorial: Springer, 2022

Sinopsis

Preface-1. Introduction.- 2. Turnpike Conditions for Optimal Control Systems.- 3. Nonautonomous Problems with Perturbed Objective Functions.- 4. Nonautonomous Problems with Discounting.- 5. Stability of the Turnpike Phenomenon for Nonautonomous Problems.- 6. Stability of the Turnpike for Nonautonomous Problems with Discounting.- 7. Turnpike Properties for Autonomous Problems.- 8. Autonomous Problems with Perturbed Objective Functions.- 9. Stability Results for Autonomous Problems.- 10. Models with Unbounded Endogenous Economic Growth-Reference.- Index.

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Acerca del autor

Alexander J. Zaslavski, Department of Mathematics, Technion – Israel Institute of Technology, Rishon LeZion, Israel.

LeZion, Israel

LeZion, Israel

LeZion, Israel

De la contraportada

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&nbsp; corresponds to another general class of models of economic dynamics which&nbsp; includes the Robinson–Solow–Srinivasan&nbsp; model as a particular case.&nbsp;<div><br></div>In Chap. 1 we discuss turnpike properties for a large class&nbsp; 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.&nbsp; The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In&nbsp; 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&nbsp; the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.

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Editorial
Springer
Año de publicación
2022
Idioma
Inglés
ISBN 10 
9811692971
ISBN 13 
9789811692970
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
392
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