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note: The least square nucleolus is a general nucleolus

Author

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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)

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)).

Suggested Citation

  • Elisenda Molina & Juan Tejada, 2000. "note: The least square nucleolus is a general nucleolus," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 139-142.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:1:p:139-142
    Note: Received: December 1998/Revised version: July 1999
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    Cited by:

    1. Xia Zhang & René van den Brink & Arantza Estévez-Fernández & Hao Sun, 2022. "Individual weighted excess and least square values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(2), pages 281-296, April.
    2. Liu, Jia-Cai & Sheu, Jiuh-Biing & Li, Deng-Feng & Dai, Yong-Wu, 2021. "Collaborative profit allocation schemes for logistics enterprise coalitions with incomplete information," Omega, Elsevier, vol. 101(C).

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