凸对策核仁的非空性及合成凸对策核仁的单调性

The Nonempty of Nucleolus in Convex Games and the Monotonicity in Composition Convex Games

本文给出了核仁与核及最小核心之间的关系 ,且证明了凸对策核仁的存在性和唯一性 ,证明了凸对策的合成对策仍是凸对策 .最后 ,我们讨论了合成凸对策的核仁不满足单调性 .

This paper presents the relation of nucleolus and rernel and leastcore, demonstrates the existence and uniqueness of nucleolus of convex games and that convex linear combination of convex games is atill convex games, and finally proves that nucleolus have nonmonotonicity in the composition convex games.