منابع مشابه
Convexity and marginal vectors
In this paper we construct sets of marginal vectors of a TU game with the property that if the marginal vectors from these sets are core elements, then the game is convex. This approach leads to new upperbounds on the number of marginal vectors needed to characterize convexity. Another result is that the relative number of marginals needed to characterize convexity con-
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This paper studies the relation between convexity of TU games and marginal vectors. Shapley (1971) andIchiishi (1981) showed that a game is convex if and only if all marginal vectors are core elements. In Rafels,Ybern (1995) it is shown that if all even marginal vectors are core elements, then all odd marginal vectorsare core elements as well, and vice versa. Hence, if all even or a...
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We define, using difference operators, a class of functions on the set of points with integer coordinates which is preserved under the formation of marginal functions.
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It is shown that a subset of a uniformly convex normed space is nearly convex if and only if its closure is convex. Also, a normed space satisfying a mild completeness property is strictly convex if and only if every metrically convex subset is convex. 1 Classical and constructive mathematics The arguments in this paper conform to constructive mathematics in the sense of Errett Bishop. This mea...
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ژورنال
عنوان ژورنال: International Journal of Game Theory
سال: 2003
ISSN: 0020-7276,1432-1270
DOI: 10.1007/s001820200117