Description
Dover Publications Inc. Differential Games by Avner Friedman
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.
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