Matrix games

Leon A. Petrosjan and Nikolay Zenkevich ()
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Leon A. Petrosjan: Faculty of Applied Mathematics, St. Petersburg State University, Russia

Chapter 1 in Game Theory, 1996, pp 1-47 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe 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

Keywords: Strategy; Optimal Solution; Nash Equilibrium; Time-Consistency; Shapley Value; Core; Extensive Game; Mixed Strategy (search for similar items in EconPapers)
JEL-codes: C70 C73 (search for similar items in EconPapers)
Date: 1996
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Chapter: Matrix Games (2016)
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