Summary
The saddle-matrix is defined as a generalization of the saddle-point for rectangular games. Let Γ1 be the rectangular game whose matrix is the saddle-matrix and Γ the first considered rectangular game. Then one optimal strategy of the game Γ can be obtained from every optimal strategy of the game Γ in the following way: We write a zero for every row or column ommitted in writing the saddle-matrix. So the saddle-matrix appears as a generalization of the relations of dominance between rows or colums of the initial matrix. Some others properties of the optimal strategies of the saddle-point are considered.
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(Instituto de Investigaciones Estadísticas)
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Zoroa, P. Matriz de silla en juegos rectangulares. Trabajos de Estadistica 10, 3–12 (1959). https://doi.org/10.1007/BF03003024
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DOI: https://doi.org/10.1007/BF03003024