Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
SOME COALITIONAL GAMES WITH THE SHAPLEY VALUE
YASUO ADACHINAOYA UEMATSU
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2015 年 77 巻 3 号 p. 437-448

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Itnh is paper, a characteristic function depending on the state of a pair’s relationship is introduced to a coalitional game with the Shapley value. By applying the characteristic function, we draw some theorems where a specific player makes his reward the maximum or the minimum. Furthermore, some properties in two concrete models are shown and various strategies of each player are discussed in two simulations. Especially, it is investigated how a player with low original reward should cooperate with other players in order to make his portion the maximum.
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© 2015 International Society for Mathematical Sciences
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