This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. Topics include games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. 1971 edition.
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3.0 out of 5 stars
A Good Second Text,
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This review is from: Differential Games (Dover Books on Mathematics) (Paperback)
To be very straightforward, this is not a book for beginners. And it doesn't claim to be. This book assumes a good understanding of not only the computational aspects of differential equations, but also of the the theoretical.
Friedman's Differential Games offers a very good, rigorous framework for Differential Game Theory. Unfortunately, that same rigor makes it difficult to approach, and hard to learn. Expect to take a lot of time working the problems, and consider leaving this book until after reading a more basic text, like Issacs' Differential Games.
4.0 out of 5 stars
A method between analysis and geometry,
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This review is from: Differential Games (Dover Books on Mathematics) (Paperback)
Friedman talks about the differential games, particullary the control functions. We consider the strategies which we give a value called pay-off. The saddle points are conditions for equilibrium. Those strategies repeat themself for approximation.
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- Stochastic and Differential Games: Theory and Numerical Methods (Annals of the International Society of Dynamic Games) by Martino Bardi on 4 pages
- Modern Optimal Control (Lecture Notes in Pure and Applied Mathematics) by E. O. Roxin on page 10, page 358, and page 405
- Comparison Methods and Stability Theory (Lecture Notes in Pure and Applied Mathematics) by Liu on page 304, and page 307
- Optimal Control Theory - Applications to Management Science and Economics (Second Edition) by Suresh P. Sethi on page 308, and Back Matter
- Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming (Systems & Control: Foundations & Applications) by William M. McEneaney in Front Matter
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