Research on Interval Core about Cooperative Interval Games

Lei Fu-mi · Tongji yu xinxi luntan · 2013

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.

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