区间合作博弈的区间核心的研究

研究了区间合作博弈的区间核心,得出满足超可加性的2人区间合作博弈区间核心是存在的,并通过引入左、右博弈的概念,讨论了通过左、右博弈的核心来构造区间合作博弈区间核心的问题,举例说明了左、右博弈的核心可以非空而区间博弈核心可以为空。通过引入合于的概念,给出了通过左、右博弈的核心可构造区间核心的充要条件。讨论了区间核心为空时左、右博弈的核心的分离性,以及对具有非空区间核心的区间博弈进行压缩的问题,最后讨论了区间合作博弈区间核心计算问题,并用实例予以说明。

Research on Interval Core about Cooperative Interval Games

This paper discussed the interval core of interval cooperative game theory firstly. Secondly, it is proved that the existence of interval core of interval cooperative game theory, with superadditity and n =2. The issue of interval core construction is also discussed , through introducing the concept of left, right games. After that, we give an example to illustrates that the interval core may be empty even if the core of left game and right game be nonempty. By introducing the concept of compositive, the necessary and sufficient conditions of constructive interval core is presented. Then, the other cases about the existence of interval core is considered. Finally, the algorithm to calculate the interval core is presented, and explained with examples.