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 09:29 |
| Last Modified: | 13 Jul 2012 09:29 |
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