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This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. It begins with a precise definition of a differential game and advances to considerations of games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. Final chapters cover selected topics (including capturability and games with delayed information) and N-person games.
Geared toward graduate students, Differential Games will be of particular interest to professionals in the fields of electrical engineering, industrial engineering, economics, and mathematics. Although intended primarily for self-study, it can be used as a core or ancillary text in courses in differential games, game theory, and control theory.
- Sales Rank: #1287167 in eBooks
- Published on: 2013-06-06
- Released on: 2013-06-06
- Format: Kindle eBook
About the Author
Baltazar Aguda is currently associate professor of Genetics & Genomics at the Boston University
School of Medicine. He holds joint appointments in Biomedical Engineering, in the Bioinformatics
& Systems Biology program at Boston University, and a membership in the Center for Biodynamics
in the same university. Recently, he was appointed member of the National Science
Foundation's (NSF, USA) research proposal review panel in molecular & cellular biosciences
(2004-7). He was a visiting faculty at the Mathematical Biosciences Institute at Ohio State University
(2003), at the Weizmann Institute of Science in Israel (2000), and a visiting associate at
the California Institute of Technology (2000-2001). Dr. Aguda obtained his PhD in Chemistry
(Chemical Physics Program) from the University of Alberta in Canada (1986), and was a tenured
faculty member of the Department of Chemistry & Biochemistry at Laurentian University in
Canada (1994-2002) before moving to Boston. Avner Friedman is a Distinguished Professor of Mathematics and Physical Sciences at
the Ohio State University, where he also serves as the Director of the Mathematical Biosciences
Institute. He received his Ph.D. degree in 1956 from the Hebrew University.
He was Professor of Mathematics at Northwestern University (1962-1985), and a Duncan
Distinguished Professor of Mathematics at Purdue University (1985-1987).
Most helpful customer reviews
6 of 6 people found the following review helpful.
A Good Second Text
By C. Westman
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.
0 of 0 people found the following review helpful.
Four Stars
By Juan MC Larrosa
Thoughtful and introductory book.
0 of 1 people found the following review helpful.
A method between analysis and geometry
By Edoardo Angeloni
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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