Journal of the Operations Research Society of Japan
Online ISSN : 2188-8299
Print ISSN : 0453-4514
ISSN-L : 0453-4514
A LOWER BOUND OF AN IMPUTATION OF A GAME
Kensaku Kikuta
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1978 Volume 21 Issue 4 Pages 457-468

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Abstract
An n-tuple is defined for each n-person monotonic characteristic function game. This n-tuple is an imputation when the sum of the components of it is equal to v(N). On the boundary of the set of all monotonic games, we can obtain a condition for the n-tuple being an imputation. The n-tuple belongs to the core when it is an imputation. If the sum of the components of it exceeds v(N), the kernel of the game consists only of interior points of the imputation set.
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© 1978 The Operations Research Society of Japan
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