Game Theory

Featured

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.

  • People wait in line in a Disneyland parking lot to receive the COVID-19 vaccine at a mass vaccination site in Anaheim, California, January 13, 2021, photo by Mario Anzuoni/Reuters

    Commentary

    How Game Theory Could Solve the COVID-19 Vaccine Rollout Puzzle

    Mar 11, 2021

    The health systems behind the vaccine rollout are attempting to create order from chaos, sometimes with mixed results. Rather than relying on on-the-fly decisionmaking, state authorities should consider turning to game theory as a tool that could be the key to more efficient, faster vaccine distribution.

Explore Game Theory

  • Report

    Report

    Values of Large Games, V: An 18-Person Market Game

    Part of a continuing effort to extend applications of n-person game theory. This memorandum applies the principles of modern game theory to a set of imaginary horse-market transactions described in Bohm-Bawerk's Positive Theory of Capital (1891).

    Jan 1, 1961

  • Report

    Report

    How useful are 'scientific' tools of management.

    A description of the usefulness of such scientific tools of management as linear and dynamic programming, queueing theory, game theory, simulation, and Monte Carlo. These tools are defined in terms of a model or a symbolic representation of the porbl...

    Jan 1, 1961

  • Report

    Report

    Notes on N-Person Games--VI: On Solutions That Exclude One or More Players

    A characterization of those n-person games that can be solved by excluding one or more players from a share of the proceeds and then solving the ensuing "fraction" of the original game.

    Mar 9, 1960

  • Report

    Report

    A Note on Polynomial and Separable Games

    Part of RAND's continuing work on the theory of games. It is shown that, given a pair of infinite metric spaces and a pair of respective finite mixed strategies, there exists a separable game with bounded continuous payoff on the cartesian product ...

    Jan 1, 1960

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    The Solutions of a Symmetric Market Game

    A determination of von Neumann-Morgenstern solutions for a symmetrical market game in which the value of a coalition is assumed to be proportional to the number of buyers or sellers participating.

    Jun 5, 1958

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    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

  • Report

    Report

    Game Theory

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

    Jan 1, 1957

  • Report

    Report

    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

  • Report

    Report

    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.

    Oct 10, 1956

  • Report

    Report

    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