For a zero-sum, two-person game, if an element a ij of the payoff matrix is the minimum of its row and maximum of its column, it is a saddle point. The value of the game is equal to the value of the saddle point, with the maximizing player's optimal strategy being the pure strategy i and the minimizing player's optimal strategy being the pure strategy j. Game theory; Saddle-point of a function.
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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). Saddle-point of a game . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_914
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DOI: https://doi.org/10.1007/1-4020-0611-X_914
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