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中文摘要：
针对现实管理问题中可能存在多层级合作情形,本文利用多层级联盟结构思想,提出了多层级联盟结构合作对策τ值概念及其解法,讨论其存在性条件和一些重要性质,并进一步证明了,若多层级联盟结构合作对策是凸的,则τ值存在且计算过程可以简化.最后,通过破产问题说明了多层级联盟结构合作对策τ值的有效性、合理性和实用性.研究结果表明,多层级联盟结构合作对策τ值既是经典合作对策τ值的一般化形式,也是对联盟结构合作对策τ值的进一步拓展.
英文摘要：
Considering multi-level cooperations appearing in the practical management, using the idea of the multi-level coalition structures, this paper proposes the concept of the τ-value for a cooperative game with multi-level coalition structures and its solving method, discusses its existence conditions and some important properties. Furthermore, it is proven that the cooperative game with multi-level coalition structures has the τ- value if it is convex and hereby the computational process of the τ-value can be simplified. Finally, a bankruptcy problem is offered to illustrate the effectiveness, rationality and practicability of the τ-value. The research results show that the τ-value for a cooperative game with multi-level coalition structures is a generalization of that for the cooperative game and extends that for the coalitional cooperative game.
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