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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    Report

    Conflicts with Imprecise Payoffs.

    A discussion of game theory to illustrate conflict situations in which imprecise payoffs appear. 13 pp....

    Jan 1, 1952

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    On Game-Learning Theory and Some Decision-Making Experiments

    No abstract is available for this document.

    Jan 1, 1952

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    The Uses and Limitations of Mathematical Models, Game Theory and Systems Analysis in Planning and Problem Solution

    A discussion of how to deal scientifically with a complex system; i.e., "an assemblage of objects united by some form of regular interaction or interdependence, an organic or organized whole."

    Jan 1, 1952

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    Notes on the n-Person Game, IV: A Theorem on C-stable Sets

    Solutions for the following set-equation, relavant to n-person game theory: X = C - (X = R), where C and R are, respectively, a convex set and a cone in an n-dimensional vector space, satisfying certain conditions.

    Jan 1, 1952

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    n-Person Games: An Example and a Proof

    In Part 1 a duopoly example is given, and in Part 2 a brief proof of the existence of equilibrium points yields a simple proof of the main theorem of 2-person zero-sum games.

    Jun 4, 1951

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    A Simplification of Games in Extensive Form

    A study of game theory in extensive form applicable to military situations. The problem of a necessary and sufficient condition for the equivalence of two patterns of information is also discussed.

    Jan 1, 1951

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    A Simplification of Games in Extensive Form.

    A study of game theory in extensive form applicable to military situations. The problem of a necessary and sufficient condition for the equivalence of two patterns of information is also discussed....

    Jan 1, 1951

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    Two-Person Cooperative Games

    A definition of the concepts of a general two-person cooperative game with the development of a concept of a solution.

    Aug 31, 1950

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    Equilibrium points in game theory.

    A discussion of equilibrium points in n-person games, with a comparison of the Cournot, Stackelberg, and Edgeworth solutions....

    Jan 1, 1950

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    Methods of solutions in game theory

    No abstract is available for this document.

    Jan 1, 1949

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    Application of Theory of Games to Identification of Friend and Foe

    An identification of friend and foe by game-theory analysis for a player who must choose the best strategy from two courses of action.

    Jan 1, 1949

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    Reconnaissance in Game Theory

    The present report is restricted to the case where one player uses a fixed type of reconnaissance, and where the second player attempts neither reconnaissance on his own nor counter measure. The influence of the reconnaissance on the strategies of th...

    Jan 1, 1949

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    A Three-Move Game with Imperfect Communication

    A supplement to previous game-theory papers. In this game, the y-player makes the first move; the x-player, the second and third moves.

    Jan 1, 1949

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    Total Reconnaissance with Total Countermeasures: Simplified Model

    A game-theory model which determines the effect of total reconnaissance and total countermeasures on the payoff and desirable strategies. Only a finite set of pure strategies is available to each player.

    Jan 1, 1949

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    Mathematical Theory of Zero-Sum Two-Person Games with a Finite Number or a Continuum of Strategies

    This 1948 report presents a summary of zero-sum two-person games with a finite number of strategies as developed by von Neumann.

    Sep 3, 1948

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    Elizabeth Bodine-Baron

    Senior Information Scientist; Associate Director, Force Modernization and Employment Program, Project Air Force
    Education Ph.D., M.S. in electrical engineering, California Institute of Technology; B.S. in electrical engineering, University of Texas at Austin; B.A. in liberal arts, University of Texas at Austin

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    Fay Dunkerley

    Senior Analyst
    Education Ph.D. in transport economics, KU Leuven, Belgium; Ph.D. in wind flow over complex terrain, UMIST, UK; M.Sc. in economics, KU Leuven, Belgium; Certificate of Advanced Study in mathematics, University of Cambridge; B.A. in mathematics, University of Cambridge

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    Justin Grana

    Associate Economist; Professor, Pardee RAND Graduate School
    Education Ph.D. in economics, American University; B.S. in economics, Xavier University; B.A. in Spanish, Xavier University

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    Marissa Herron

    Assistant Policy Researcher, RAND; Ph.D. Student, Pardee RAND Graduate School
    Education M.S. in remote sensing intelligence, Naval Postgraduate School; M.S. in aerospace engineering, University of Colorado at Boulder; B.S. in aerospace engineering, University of Arizona

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    Content

    Andrew Karode

    Senior Technical Analyst
    Education M.S. in computer science, Wake Forest University; B.A. in computer science, Wake Forest University; B.A. in political science, Wake Forest University