$n$-person games with only $1,$ $n-1$, and $n$-person coalitions
نویسندگان
چکیده
منابع مشابه
A Closed-Form Formula for the Fair Allocation of Gains in Cooperative N-Person Games
Abstract This paper provides a closed-form optimal solution to the multi-objective model of the fair allocation of gains obtained by cooperation among all players. The optimality of the proposed solution is first proved. Then, the properties of the proposed solution are investigated. At the end, a numerical example in inventory control environment is given to demonstrate the application and t...
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* This note arose from consultations during the tenure of a John Simon Guggenheim Memorial Fellowship by MacLane. ' Whitehead, J. H. C., "Combinatorial Homotopy I and II," Bull. A.M.S., 55, 214-245 and 453-496 (1949). We refer to these papers as CH I and CH II, respectively. ' By a complex we shall mean a connected CW complex, as defined in §5 of CH I. We do not restrict ourselres to finite com...
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متن کاملShapley mappings and the cumulative value for n-person games with fuzzy coalitions
In this paper we prove the existence and uniqueness of a solution concept for n-person games with fuzzy coalitions, which we call the Shapley mapping. The Shapley mapping, when it exists, associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a “cumulative value” that is the “su...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1968
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1968-0233594-1