Synopses & Reviews
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.
Synopsis
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.
Synopsis
This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. Intended primarily for self-study, it can be used as a core or ancillary text in graduate-level courses in differential games, game theory, and control theory. Director of the Mathematical Biosciences Institute at Ohio State University, Avner Friedman is the author of prior and forthcoming Dover books.
Table of Contents
Introduction
1. Definition of a Differential Game
2. Games of Fixed Duration
3. Games of Pursuit and Evasion
4. Computation of Saddle Points
5. Games of Survival
6. Games with Restricted Phase Coordinates
7. Selected Topics
8. N-Person Games
Bibliographical Remarks
Bibliography
Index
Index of Conditions