Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization

By Rufus Isaacs

Book Overview

One of the definitive works in game theory, this fascinating volume offers an original look at methods of obtaining solutions for conflict situations. Combining the principles of game theory, the calculus of variations, and control theory, the author considers and solves an amazing array of problems: military, pursuit and evasion, games of firing and maneuver, athletic contests, and many other problems of conflict. Beginning with general definitions and the basic mathematics behind differential game theory, the author proceeds to examinations of increasingly specific techniques and applications: dispersal, universal, and equivocal surfaces; the role of game theory in warfare; development of an effective theory despite incomplete information; and more. All problems and solutions receive clearly worded, illuminating discussions, including detailed examples and numerous formal calculations. The product of fifteen years of research by a highly experienced mathematician and engineer, this volume will acquaint students of game theory with practical solutions to an extraordinary range of intriguing problems.

• Format: Paperback
• Language: English
• ISBN: 0486406822
• ISBN13: 9780486406824
• Release Date: January 1999
• Publisher: Dover Publications
• Length: 416 Pages
• Weight: 0.99 lbs.
• Dimensions: 0.8" x 5.4" x 8.5"

Customer Reviews

Great read on differential games

Accounts some of the game theoretic problems encountered by Isaacs during his work at the RAND Corporation. A must read for scholars interested in game theory. Has a lot of interesting cases of military and non-military applications.

Differential Games

This is the original book on differential games. It is as relevant today as when it was written nearly 40 years ago. The book introduces all the main concepts and equations in differential games. This is achieved without recourse to heavy theorems or proofs. A central feature is the use of many and varied examples of differential games; the homoicidal chauffeur, wars of attrition, pursuit with a rocket, etc. These bring the whole field alive with potential. Another element is the use of geometry and pictures to describe game evolution. This book is a must for anyone interested in modern autonomous systems.