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- Startseite
Bücher Englische Bücher Optimal Control Problems Arising in Mathematical Economics
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Optimal Control Problems Arising in Mathematical Economics
Alexander J. Zaslavski (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
29.06.2022
Sprache
Englisch
EAN
9789811692970
Herausgeber
Springer Singapore
Serien- oder Bandtitel
Monographs in Mathematical Economics
Sonderedition
Nein
Autor
Alexander J. Zaslavski
Seitenanzahl
378
Einbandart
Gebundene Ausgabe
Autorenporträt
Alexander J. Zaslavski, Department of Mathematics, Technion – Israel Institute of Technology, Rishon LeZion, Israel.LeZion, IsraelLeZion, IsraelLeZion, IsraelLeZion, Israel
Schlagwörter
Turnpike property, Infinite horizon problem, Good program, Overtaking optimal program, Stability
Thema-Inhalt
PBU - Optimierung
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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