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

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

by Rufus Isaacs
 

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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,

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.

Editorial Reviews

Booknews
A reprint of a 1965 volume which looks at game theory methods for obtaining solutions in conflict situations. Combining principles of game theory, the calculus of variation, and control theory, the author considers an array of problems from military situations and pursuit and evasion tactics to athletic contests and games of firing and maneuver. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9780486406824
Publisher:
Dover Publications
Publication date:
01/20/1999
Series:
Dover Books on Mathematics Series
Edition description:
Unabridged
Pages:
416
Product dimensions:
5.44(w) x 8.51(h) x 0.82(d)

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