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 evasion tactics, athletic contests, and many more. Clearly detailed examples; numerous calculations. 1965 edition.
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The Mathematics of Games of Strategy by Melvin Dresher This text puts forth an exceptionally clear presentation of the mathematical theory of games of strategy and its application to many fields including economics, military, business, and operations research. Preface. Geometrical figures and equations throughout.
Games and Decisions: Introduction and Critical Survey by R. Duncan Luce, Howard Raiffa Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.
Dynamic Programming: Models and Applications by Eric V. Denardo Introduction to sequential decision processes covers use of dynamic programming in studying models of resource allocation, methods for approximating solutions of control problems in continuous time, production control, more. 1982 edition.
Introduction to the Theory of Games by J. C. C. McKinsey This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced calculus a prerequisite. Includes 51 figures and 8 tables. 1952 edition.
Mathematical Methods of Game and Economic Theory: Revised Edition by Jean-Pierre Aubin This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.
Differential Games by Avner Friedman Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition.
Algebras of Holomorphic Functions and Control Theory by Amol Sasane Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
