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Foundations of dynamic economic analysis : optimal control theory and applications

Author: Michael Ralph Caputo
Publisher: Cambridge : Cambridge University Press, ©2005.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study continuous time dynamic economic processes and to interpret dynamic economic behavior, namely, optimal control theory. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Caputo, Michael Ralph.
Foundations of dynamic economic analysis.
Cambridge : Cambridge University Press, ©2005
(DLC) 2004046568
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Ralph Caputo
ISBN: 0511121873 9780511121876 9780511806827 0511806825 1280163267 9781280163265
OCLC Number: 252486198
Description: 1 online resource (xii, 579 pages)
Contents: Foreword / Eugene Silberberg --
Essential Elements of Continuous Time Dynamic Optimization --
Necessary Conditions for a Simplified Control Problem --
Concavity and Sufficiency in Optimal Control Problems --
The Maximum Principle and Economic Interpretations --
Linear Optimal Control Problems --
Necessary and Sufficient Conditions for a General Class of Control Problems --
Necessary and Sufficient Conditions for Isoperimetric Problems --
Economic Characterization of Reciprocal Isoperimetric Problems --
The Dynamic Envelope Theorem and Economic Interpretations --
The Dynamic Envelope Theorem and Transversality Conditions --
Comparative Dynamics via Envelope Methods --
Discounting, Current Values, and Time Consistency --
Local Stability and Phase Portraits of Autonomous Differential Equations --
Necessary and Sufficient Conditions for Infinite Horizon Control Problems --
The Neoclassical Optimal Economic Growth Model --
A Dynamic Limit Pricing Model of the Firm --
The Adjustment Cost Model of the Firm --
Qualitative Properties of Infinite Horizon Optimal Control Problems with One State Variable and One Control Variable --
Dynamic Programming and the Hamilton-Jacobi-Bellman Equation --
Intertemporal Duality in the Adjustment Cost Model of the Firm.
Responsibility: Michael R. Caputo.
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Foundations of Dynamic Economic Analysis presents an introductory but thorough exposition of optimal control theory.  Read more...

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