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Se introducen las definiciones usuales sobre teoría de juegos cooperativos, dándose la caracterización de Bondareva-Shapley para juegos con corazón no vacío. Se obtiene una caracterización para esta última clase de juegos, partiendo del concepto de función supermodular.
En dos artículos, publicados en 1989, Balas y Ng dan una metodología para construir facetas del politopo de recubrimiento con coeficientes en {0, 1, 2}. Siguiendo esta metodología, en el presente artículo decimos cómo se contruyen facetas de dicho politopo con coeficientes en {0, 1, 2, 3}.
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