Existence of α-Core and Weak α-Core for Multi-Leader-Multi-Follower Games with Preferences
In this paper,we introduce the model of multi-leader-multi-follower games with preferences,propose the concept of the α-core of multi-leader-multi-follower games with preferences,and prove the existence of α-core in this model.This gener-alizes Yang and Ju's(2016)results under the utility representation to the multi-leader-multi-follower games model with general preferences.Thus,it expands the kinds of multi-leader-multi-follower games and gives a more general description of coopera-tive solutions of multi-leader-multi-follower games.Furthermore,it can include some continuous and non-continuous utility type multi-leader-multi-follower game models.Using the locally FS-majorized conditions,this paper proves the existence of α-core of multi-leader-multi-follower games with preferences.Further,this paper gives the concept of weak α-core of multi-leader-multi-follower games with general preferences when the multi-leader-multi-follower games have infinite leaders and followers,and studies its existence and finally proves the existence of weak α-core of multi-leader-multi-follower games.
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维普
