Dr. KGK Nair

Abstract

This paper discusses the graphical solution of three- person, żero-sum пon-co-оperative games, with each player having only two strategies. A pay -off table shows the outcome for each player relating to different (8 in all) strategy combinations. Nash equilibrium is considered the solution criterion and algebraic solution is converted into graphical method. Solution is found for both biased and unbiased games, and unsolvable games are also identified. Effect of one player playing sub-optimally is discussed. Advantages of graphical solution are considered, and practical applications also are discussed.

Keywords- Three- person, Non co-operative, Graphical, Biased, Unbiased