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.

  • chess board

    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.

Explore Game Theory

  • Report

    On Game-Learning Theory and Some Decision-Making Experiments

    No abstract is available for this document.

    Dec 31, 1951

  • Report

    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."

    Dec 31, 1951

  • Report

    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.

    Dec 31, 1951

  • Report

    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

  • Report

    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.

    Dec 31, 1950

  • Report

    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....

    Dec 31, 1950

  • Report

    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

  • Report

    Equilibrium points in game theory.

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

    Dec 31, 1949

  • Report

    Methods of solutions in game theory

    No abstract is available for this document.

    Dec 31, 1948

  • Report

    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.

    Dec 31, 1948

  • Report

    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...

    Dec 31, 1948

  • Report

    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.

    Dec 31, 1948

  • Report

    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.

    Dec 31, 1948

  • Report

    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

  • Content

    Elizabeth Bodine-Baron

    Information Scientist; Associate Director, Force Modernization and Employment Program, Project Air Force; Co-Director, RAND Center for Applied Network Analysis and System Science
    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

  • Content

    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

  • Content

    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

  • 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

  • Content

    Krystyna Marcinek

    Assistant Policy Researcher; Ph.D. Candidate, Pardee RAND Graduate School
    Education M.A. in Russian, East European, and Eurasian studies, Jagiellonian University, Poland

  • Content

    Danielle C. Tarraf

    Senior Information Scientist; Professor, Pardee RAND Graduate School
    Education Ph.D. in mechanical engineering (control theory), MIT; S.M. in mechanical engineering, MIT; B.E. in mechanical engineering, American University of Beirut