Application of differential games to problems of military conflict tactical allocation problems, Part I by James G. Taylor

Cover of: Application of differential games to problems of military conflict | James G. Taylor

Published by Naval Postgraduate School in Monterey, California .

Written in English

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Subjects:

  • Naval tactics,
  • Games of strategy (Mathematics)

About the Edition

The mathematical theory of deterministic optimal control/differential games is applied to the study of some tactical allocation problems for combat described by Lanchester-type equations of warfare. A solution procedure is devised for terminal control attrition games. H. K. Weiss" supporting weapon system game is solved and several extensions considered. A sequence of one-sided dynamic allocation problems is considered to study the dependence of optimal allocation policies on model form. The solution is developed for variable coefficient Lanchester-type equations when the ratio of attrition rates is constant. Several versions of Bellman"s continuous stochastic gold-mining problem are solved by the Pontryagin maximum principle, and their relationship to the attrition problems is discussed. A new dynamic kill potential is developed. Several problems from continuous review deterministic inventory theory are solved by the maximum principle. (Author)

Edition Notes

Book details

Statementby James G. Taylor
ContributionsNaval Postgraduate School (U.S.)
The Physical Object
Pagination201 p. :
Number of Pages201
ID Numbers
Open LibraryOL25518843M
OCLC/WorldCa434441672

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Application of differential games to problems of military conflict: tactical allocation problems, Part III - appendices C and D by Taylor, James :   The mathematical theory of optimal control/differential games is used to study the structure of optimal allocation policies for some tactical allocation problems with combat described by Lanchester-type equations of warfare.

Both deterministic and Pages: 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 by: Calhoun: The NPS Institutional Archive Reports and Technical Reports All Technical Reports Collection Application of differential games to.

Application of differential games to problems of military conflict: Tactical allocation problems, Part I. By James Application of differential games to problems of military conflict book. Taylor. Get PDF (8 MB) Abstract. The mathematical theory of deterministic optimal control/differential games is applied to the study of some tactical allocation problems for combat described by Lanchester-type equations of Author: James G.

Taylor. 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 Brand: Dover Publications.

Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization. One of the definitive works in game theory, this fascinating volume offers an original look at methods of obtaining solutions for conflict situations. 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 /5(13). Uncertainty theory provides us an alternative for modeling human uncertainty without the scope of probability theory.

In a dynamic game, the system dynamics often has noise by human disturbance and can be described by an uncertain differential equation.

In order to investigate such a problem, an uncertain differential game model and its solution concept of feedback Nash equilibrium Cited by: As an application, the capitalism problem is analyzed by uncertain differential game. The results show that uncertain differential game is a powerful tool for dealing with dynamic game.

Discover. This chapter discusses the differential games economic applications. Much of the application of N-person, general-sum differential games is in economics, where observed regularities are rarely invariant as in natural sciences.

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In game theory, differential games are a group of problems related to the modeling and analysis of conflict in the context of a dynamical system.

More specifically, a state variable or variables evolve over time according to a differential equation. Early analyses reflected military interests. 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. 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.

One of the definitive works in game theory, this volume takes an original and expert look at conflict solutions.

Drawing on game theory, the calculus of variations, and control theory, the author solves an amazing array of problems relating to military situations, pursuit and. In Rufus Isaacs published the book Differential games.A mathematical theory with applications to warfare and pursuit, control and list below short extracts from five reviews of the book, an extract from the Introduction and the publisher's description of the book.

During the First World War, F.W. Lanchester published his book Aircraft in Warfare: The Dawn of the Fourth Arm[31] in which he proposed several mathematical models based on differential equations to describe combat then, his work has been extensively modified to represent a variety of competitions, ranging from isolated battles to entire by: 1.

Mathematic tactics to research the military problems and the firepowerassignment differential game models are researched in Sha, (). Differential game model to analyze the firepowerassignment problem of backhanded sight gunshot is established and its solutions are solved according to Lanchester's second linear law in Huang and Xu ().Cited by: 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 Brand: Dover Publications.

Applications of ODEs to the mathematical modelling of international conflict. The flexible application of differential equations in For arbitrary conflict and game problems stated in the.

One of the definitive works in game theory, this volume takes an original and expert look at conflict solutions. Drawing on game theory, the calculus of variations, and control theory, the author solves an amazing array of problems relating to military situations, pursuit and /5(1).

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.

Differential Games. A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization 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 ing with general definitions and the basic Author: Rufus Isaacs.

Editorial Reviews. A reprint of a 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 : Dover Publications.

On the other hand, the LQ differential games have many applications in the economy, military, and intelligent robots. Since the book, entitled “Differential Games,” written by Dr. Isaacs came out, theory and application of differential games have been developed greatly.

A differential game is a mathematical model that represents a conflict Author: Huiying Sun, Meng Li, Shenglin Ji, Long Yan. This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts.

With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement Cited by: 1.

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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, athletic contests, and many other problems of conflict/5(16).

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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/5(16).

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