Dynamic Optimization and Differential Games

Name: Dynamic Optimization and Differential Games
Brand: Springer-Verlag New York Inc.
SKU: 9780387727776
Price: 1424.98 PLN
Availability: InStock

Autor: T. L. Friesz

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag New York Inc.

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Dynamic Optimization and Differential Games has been written to address the increasing number of Ope...

Informacje o książce

Autor

T. L. Friesz

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2010

strony

502

EAN

9780387727776

ISBN

0387727779

Enbook ID

01382598

Wydawca

Springer-Verlag New York Inc.

Waga

1980

Wymiary

155 x 235 x 29

Pełny opis

Dynamic Optimization and Differential Games has been written to address the increasing number of Operations Research and Management Science problems that involve the explicit consideration of time and of gaming among multiple agents. With end-of-chapter exercises throughout, it is a book that can be used both as a reference and as a textbook. It will be useful as a guide to engineers, operations researchers, applied mathematicians and social scientists whose work involves both the theoretical and computational aspects of dynamic optimization and differential games. Included throughout the text are detailed explanations of several original dynamic and game-theoretic mathematical models which are of particular relevance in today s technologically-driven-global economy: revenue management, oligopoly pricing, production planning, supply chain management, dynamic traffic assignment and dynamic congestion pricing. §§The book emphasizes deterministic theory, computational tools and applications associated with the study of dynamic optimization and competition in continuous time. It develops the key results of deterministic, continuous time, optimal control theory from both the classical calculus of variations perspective and the more modern approach of infinite dimensional mathematical programming. These results are then generalized for the analysis of differential variational inequalities arising in dynamic game theory for open loop environments. Algorithms covered include steepest descent in Hilbert space, gradient projection in Hilbert space, fixed point methods, and gap function methods.

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