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Matrix games

In: Game Theory

Author

Listed:
  • Leon A. Petrosjan

    (Faculty of Applied Mathematics, St. Petersburg State University, Russia)

  • Nikolay A. Zenkevich

    (Faculty of Applied Mathematics, St. Petersburg State University, Russia)

Abstract

The following sections are included:Definition of a two-person zero-sum game in normal formMaximin and minimax strategiesSaddle pointsMixed extension of a gameConvex sets and systems of linear inequalitiesExistence of a solution of the matrix game in mixed strategiesProperties of optimal strategies and value of the gameDominance of strategiesCompletely mixed and symmetric gamesIterative methods of solving matrix gamesExercises and problems

Suggested Citation

  • Leon A. Petrosjan & Nikolay A. Zenkevich, 1996. "Matrix games," World Scientific Book Chapters, in: Game Theory, chapter 1, pages 1-47, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812812537_0001
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    Keywords

    Strategy; Optimal Solution; Nash Equilibrium; Time-Consistency; Shapley Value; Core; Extensive Game; Mixed Strategy;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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