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The least square nucleolus is a general nucleolus

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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)).

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Authors and Affiliations

  1. Depto. de Estadı´stica y Matemática Aplicada, Facultad de C.C. Experimentales, Universidad Miguel Hernández de Elche, 03202 Elche, Spain (e-mail: e.molina@umh.es), , , , , , ES

    Elisenda Molina

  2. Depto. de Estadı´stica e I.O., Facultad de C.C. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain (e-mail: jtejada@mat.ucm.es), , , , , , ES

    Juan Tejada

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  1. Elisenda Molina
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  2. Juan Tejada
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Received: December 1998/Revised version: July 1999

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Molina, E., Tejada, J. The least square nucleolus is a general nucleolus. Game Theory 29, 139–142 (2000). https://doi.org/10.1007/s001829900028

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  • DOI: https://doi.org/10.1007/s001829900028