Game Theory

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The study of mathematical models of conflict and cooperation between intelligent, rational decisionmakers, game theory is also known more descriptively as interactive decision theory. For more than six decades, RAND researchers have used game theory to explore economics, political science, psychology, and conflict.

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    Commercial Book

    A Primer on the Theory of Games of Strategy

    Dec 1, 1954

    This 1954 classic on basic concepts of game theory and its applications popularized the subject for amateurs, professionals, and students throughout the world.

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    Values of Large Games, IV: Evaluating the Electoral College by Montecarlo Techniques

    An illustration of the power-index concept of game theory, provided by an analysis of the Electoral College of the United States as a game.

    Jan 1, 1960

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    New directions in the application of game theory: an abstract

    An outline of the game-theoretic approach to a number of different competitive situations in economics, including an auction, a duopolistic price war, several larger market models, and a stock-holders' meeting. The discussion is intended to illustrat...

    Jan 1, 1960

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    Some Military Applications of the Theory of Games

    An application of the theory of games to military problems concerned with the allocation of forces in space and/or time in a competitive environment.

    Dec 10, 1959

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    A Game Solution to a Missile Launching Scheduling Problem

    A game solution to the problem of scheduling missile launchings from bases that may come under enemy attack.

    Nov 25, 1959

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    A Game Theory Analysis of Tactical Air War

    The study of a problem in tactical air war concerned with the allocation at each strike of the tactical forces among such competing air tasks as counterair, air-defense, and support of ground operations.

    Jan 1, 1959

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    For the Abandonment of Symmetry in the Theory of Cooperative Games

    An argument that the pure "moveless" bargaining game (analyzed by Nash, Harsanyi, Luce, Raiffa, and others) may not exist or, if it does, is of a different character from that generally supposed.

    Jan 1, 1958

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    Prospectus for a Reorientation of Game Theory

    An attempt to extend the scope of game theory, using the zero-sum game as a limiting case rather than as a point of departure.

    Jan 1, 1958

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    Re-Interpretation of the Solution Concept for “Non-Cooperative” Games

    A discussion of coordination-game theory, suggesting that the "solution in the strict sense" of a tacit nonzero-sum game is to be understood largely by reference to its signalling qualities.

    Jan 1, 1958

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    The Foundations and Advances in Game Theory.

    A commentary on R. Duncan Luce and Howard Raiffa, [Games and Decisions:] [Introduction and Critical Survey], in relation to the foundations and advances in game theory. Besides recommending this book to economists interested in behavioral models of ...

    Jan 1, 1958

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    The Theory of Games

    A discourse on the fundamental ideas of the theory of games and on the unresolved aspects of the theory.

    Jan 1, 1957

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    The Prospects of a Unified Theory of Organizations

    A suggestion that a unified theory of organizations be achieved by establishing the relationship in terminology between game theory and organization theory and by using an engineering approach to the psychological problems involved.

    Jan 1, 1957

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    Game Theory

    A section of a proposed book on military planning in an uncertain world.

    Jan 1, 1957

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    The game-theoretical approach to organization theory

    A proposal that an effort be made to enhance the applicability of game theory and organization theory, as both are concerned with the interactions of the decisions of a group of people acting under given constraints. Suggestions are outlined for a t...

    Jan 1, 1957

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    On Games of Survival

    A proof (using semi-martingale theory) of the existence of a value and optimal strategies in a game of survival. A simple exponential approximation to the solution is also discussed, together with many examples.

    Jan 1, 1956

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    Continuous Iteration Method for Solution of Differential Games

    An iterative method for solving such differential games as simple air war games. This method is stated in a continuous form, but may be applied in a discrete approximation for use with a high-speed digital computing machine....

    Aug 18, 1954

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    On the minimization of .

    A solution of a minimization problem by converting the problem into one requiring a min-max and using the fundamental theorem of game theory....

    Jan 1, 1954

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    A problem in programming steel production and its solution by differential game theory

    An application of differential game theory to determine a straightforward solution to an allocation problem....

    Jan 1, 1953

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    Some War Games

    These games are descendants of the one originally instigated by A. Mood, and are both played on his hexagonal-honeycomb-pattern board.

    Sep 10, 1952

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    Some Experimental n-Person Games

    Experiments with n-person coalition games were conducted, and the pattern of behavior of the players was observed and the relationship between observed outcome of the games and various theoretical concepts was investigated.

    Aug 25, 1952

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    Some Games and Machines for Playing Them

    Some board games are presented. A description of electrical analog machines capable of playing these games are given.

    Feb 2, 1952