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The least square nucleolus is a general nucleolus

Molina Ferragut, Elisenda and Tejada Cazorla, Juan Antonio (2000) The least square nucleolus is a general nucleolus. International Journal of Game Theory, 29 (1). pp. 139-142. ISSN 0020-7276

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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 (Maschier et al. (1992)).


Item Type:Article
Uncontrolled Keywords:TU-games, least square nucleolus, lexicographical solution, general nucleolus, coalition excess, player excess
Subjects:Sciences > Mathematics > Operations research
ID Code:15940
References:

Maschler M, Potters AM, Tijs SH (1992) The general nucleolus and the reduced game property.International Journal of Game Theory 21:85±106

Ruiz LM, Valenciano F, Zarzuelo JM (1996) The least square prenucleolus and the least square nucleolus. Two values for TU games based on the excess vector. International Journal of Game Theory 25:113±134

Sakawa M, Nishizaki I (1994) A lexicographical concept in an n-person cooperative fuzzy game.Fuzzy Sets and Systems 61:265±275

Deposited On:13 Jul 2012 07:29
Last Modified:06 Feb 2014 10:35

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