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FOUNDATIONS OF DYNAMIC ECONOMICS ANALYSIS
CAPUTO M. wydawnictwo: CAMBRIDGE , rok wydania 2005, wydanie I cena netto: 210.00 Twoja cena 199,50 zł + 5% vat - dodaj do koszyka Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of
the fundamental mathematical formalism used to study optimal control theory, i.e.,
continuous time dynamic economic processes, and to interpret dynamic economic behavior.
The style of presentation, with its continual emphasis on the economic interpretation of
mathematics and models, distinguishes it from several other excellent texts on the
subject. This approach is aided dramatically by introducing the dynamic envelope theorem
and the method of comparative dynamics early in the exposition. Accordingly, motivated and
economically revealing proofs of the transversality conditions come about by use of the
dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to
the development of the primal dual method of comparative dynamics and dynamic duality
theory, two modern approaches used to tease out the empirical content of optimal control
models. The stylistic approach ultimately draws attention to the empirical richness of
optimal control theory, a feature missing in virtually all other textbooks of this type.
Most up to date, comprehensive textbook on optimal control theory, perennially important
subject for economists operations researchers
Subject matter taught around the world to graduate students in advanced mathematical
methods across the sciences social sciences
Exercises at end of each chapter on elementary and specialized topics
Table of Contents
1. Essential elements of continuous time dynamic optimization;
2. Necessary conditions for a simplified control problem;
3. Concavity and sufficiency in optimal control problems;
4. The maximum principle and economic interpretations;
5. Linear optimal control problems;
6. Necessary and sufficient conditions for a general class of control problems;
7. Necessary and sufficient conditions for isoperimetric problems;
8. Economic characterization of reciprocal isoperimetric problems;
9. The dynamic envelope theorem and economic interpretations;
10. The dynamic envelope theorem and transversality conditions;
11. Comparative dynamics via envelope methods;
12. Discounting, current values, and time consistency;
13. Local stability and phase portraits of autonomous differential equations;
14. Necessary and sufficient conditions for infinite horizon control problems;
15. The neoclassical optimal economic growth model;
16. A dynamic limit pricing model of the firm;
17. The adjustment cost model of the firm;
18. Qualitative properties of infinite horizon optimal control problems with one state
variable and one control variable;
19. Dynamic programming and the Hamilton Jacobi Bellman equation;
20. Intertemporal duality in the adjustment cost model of the firm.
Hardcover
592 pages
Po otrzymaniu zamówienia poinformujemy,
czy wybrany tytuł polskojęzyczny lub
anglojęzyczny jest aktualnie na półce księgarni.
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