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Monday, July 27, 2020 | History

1 edition of Application of differential games to problems of military conflict found in the catalog.

Application of differential games to problems of military conflict

James G. Taylor

Application of differential games to problems of military conflict

tactical allocation problems, Part III - appendices C and D

by James G. Taylor

  • 42 Want to read
  • 22 Currently reading

Published by Naval Postgraduate School in Monterey, Calif .
Written in English

    Subjects:
  • Great Britain. Royal Air Force,
  • Games of strategy (Mathematics),
  • Naval tactics,
  • Procurement,
  • Great Britain,
  • Congresses

  • About the Edition

    The mathematical theory of differential games is used to study the structure of optimal allocation strategies for some time-sequential combat games with combat described by Lanchester-type equations of warfare. Several specific problems for the determination of optimal time-sequential fire distribution strategies for supporting weapon systems are studied. Optimal air-war strategies are studied within the context of land-war objectives and compared to those for a model which does not explicitly consider the ground war. Several differential game models are used to study optimal fire-support strategies in an attack scenario. For an existing differential game fir-support model we determine for what class of criterion functional (i.e., objectives) the optimal fire-support strategies are independent of force levels. In a similar differential game we examine the dependence of optimal fire-support strategies upon the functional form of the combat attrition model by considering slightly different combat dynamics. Some relatively new theoretical developments are required for the complete solution of this latter problem. Previous analytic work in the field of determination of optimal fire-support strategies is reviewed. (Author)

    Edition Notes

    Statementby James G. Taylor
    ContributionsNaval Postgraduate School (U.S.)
    The Physical Object
    Pagination1 v. (various pagings) :
    ID Numbers
    Open LibraryOL25517570M
    OCLC/WorldCa428120465

    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.

    Buy Differential Games (Dover Books on Mathematics) New edition by Isaacs, R. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(15). “Alles” — /5/8 — — page ii — #2 c by the Mathematical Associationof America,Inc. Electronic edition ISBN

    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/5(12). 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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Application of differential games to problems of military conflict by James G. Taylor Download PDF EPUB FB2

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 G. 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.

Thus, expenditure patterns in America offer little insights upon the consumption habits in Papua-New by: Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization Rufus Isaacs One of the definitive works in game theory, this fascinating volume offers an original look at methods of obtaining solutions for conflict situations.

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.