note: The least square nucleolus is a general nucleolus

Elisenda Molina () and Juan Tejada ()
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Elisenda Molina: Depto. de Estadi´stica y MatemÂtica Aplicada, Facultad de C.C. Experimentales, Universidad Miguel HernÂndez de Elche, 03202 Elche, Spain Depto. de Estadi´stica e I.O., Facultad de C.C. MatemÂticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
Juan Tejada: Depto. de Estadi´stica y MatemÂtica Aplicada, Facultad de C.C. Experimentales, Universidad Miguel HernÂndez de Elche, 03202 Elche, Spain Depto. de Estadi´stica e I.O., Facultad de C.C. MatemÂticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

International Journal of Game Theory, 2000, vol. 29, issue 1, 139-142

Abstract: This short note proves that the least square nucleolus (Ruiz et al. (1996)) and the lexicographical solution (Sakawa and Nishizaki (1994)) select the same imputation in each game with nonempty imputation set. As a consequence the least square nucleolus is a general nucleolus (Maschler et al. (1992)).

Date: 2000-02-15
Note: Received: December 1998/Revised version: July 1999
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