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Optimal Control Theory - Applications to Management Science and Economics (Hardcover, 4th ed. 2021)
Loot Price: R2,005
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Optimal Control Theory - Applications to Management Science and Economics (Hardcover, 4th ed. 2021)
Series: Springer Texts in Business and Economics
Expected to ship within 12 - 17 working days
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This new 4th edition offers an introduction to optimal control
theory and its diverse applications in management science and
economics. It introduces students to the concept of the maximum
principle in continuous (as well as discrete) time by combining
dynamic programming and Kuhn-Tucker theory. While some mathematical
background is needed, the emphasis of the book is not on
mathematical rigor, but on modeling realistic situations
encountered in business and economics. It applies optimal control
theory to the functional areas of management including finance,
production and marketing, as well as the economics of growth and of
natural resources. In addition, it features material on stochastic
Nash and Stackelberg differential games and an adverse selection
model in the principal-agent framework. Exercises are included in
each chapter, while the answers to selected exercises help deepen
readers' understanding of the material covered. Also included are
appendices of supplementary material on the solution of
differential equations, the calculus of variations and its ties to
the maximum principle, and special topics including the Kalman
filter, certainty equivalence, singular control, a global saddle
point theorem, Sethi-Skiba points, and distributed parameter
systems. Optimal control methods are used to determine optimal ways
to control a dynamic system. The theoretical work in this field
serves as the foundation for the book, in which the author applies
it to business management problems developed from his own research
and classroom instruction. The new edition has been refined and
updated, making it a valuable resource for graduate courses on
applied optimal control theory, but also for financial and
industrial engineers, economists, and operational researchers
interested in applying dynamic optimization in their fields.
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