International Series in Operations Research & Management Science

Dynamic Optimization and Differential Games

Authors: Friesz, Terry L.

  • Of interest to students, researchers, and practitioners of OR/MS, Industrial Engineering, Supply Chain Management, Applied Economics, Transportation, and Economic Geography
  • Terry Friesz has made a major effort in developing the book by simplifying and using the unifying approach of differential variational inequalities to help individuals make the transition from static to dynamic game theory more smoothly than would otherwise be possible
  • Will also be of use in courses on dynamic game theory
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eBook $219.00
price for USA (gross)
  • ISBN 978-0-387-72778-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.00
price for USA
  • ISBN 978-0-387-72777-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.00
price for USA
  • ISBN 978-1-4614-2680-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

From the reviews:

“This book contains an introductory chapter and nine other chapters, divided into three parts. … The intended readers are graduate students and researchers interested in modeling and computing in continuous time. … I strongly recommend this book to readers interested in dynamic optimization in continuous time. I found it excellent on many counts, especially its detailed modeling analysis and its computational aspects. … used as a textbook for a one-semester course on mathematical programming and optimal control.” (Georges Zaccour, SIAM Review, Vol. 54 (2), 2012)

“This book is devoted to optimal control and differential game problems with emphasis on economic applications such as revenue management, oligopoly pricing, production planning, supply chain management, and dynamic network problems. The author describes (differential) variational inequalities as basic tool for solving these problems. … The book presentation is given at a student’s level, contains many significant examples and exercises, so that it can be used as a textbook.” (Igor V. Konnov, Zentralblatt MATH, Vol. 1207, 2011)


Table of contents (10 chapters)

  • Introduction

    Friesz, Terry L.

    Pages 1-32

  • Nonlinear Programming and Discrete-Time Optimal Control

    Friesz, Terry L.

    Pages 33-78

  • Foundations of the Calculus of Variations and Optimal Control

    Friesz, Terry L.

    Pages 79-146

  • Infinite Dimensional Mathematical Programming

    Friesz, Terry L.

    Pages 147-218

  • Finite Dimensional Variational Inequalities and Nash Equilibria

    Friesz, Terry L.

    Pages 219-265

Buy this book

eBook $219.00
price for USA (gross)
  • ISBN 978-0-387-72778-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.00
price for USA
  • ISBN 978-0-387-72777-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.00
price for USA
  • ISBN 978-1-4614-2680-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamic Optimization and Differential Games
Authors
Series Title
International Series in Operations Research & Management Science
Series Volume
135
Copyright
2010
Publisher
Springer US
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-387-72778-3
DOI
10.1007/978-0-387-72778-3
Hardcover ISBN
978-0-387-72777-6
Softcover ISBN
978-1-4614-2680-6
Series ISSN
0884-8289
Edition Number
1
Number of Pages
XIV, 502
Topics