不连续向量支付博弈α-核的存在性与稳定性
The existence and stability of α-core for discontinuous vector payoff games
宋奇庆 1池欣宜 1吴高宇 1孙铭璐1
作者信息
- 1. 山西师范大学数学与计算机科学学院,山西太原 030031
- 折叠
摘要
本文研究了不连续向量支付博弈α-核的存在性和稳定性,提出了向量支付博弈的联盟最小值条件和向量支付博弈的联盟C-安全性条件,从而给出了保证不连续向量支付博弈α-核存在的两类充分条件,进一步利用广义Hadmard良定性的引理,证明了一类不连续向量支付博弈α-核的良定性.
Abstract
This studies the existence and stability of α-core of games with discon-tinuous vector payoffs.By proposing the conditions of minimum values of games with vector payoffs and coalitional C-security,this gives two kinds of sufficient conditions to guarantee the existence of α-core of games with discontinuous vector payoffs.Further-more,by using the lemma for generalized Hadmard well-posedness,the well-posedness of α-core is proven for a kind of game with discontinuous vector payoffs.
关键词
博弈/向量支付/连续性/α-核/复合均衡/良定性Key words
games/vector payoffs/continuity/α-core/hybrid solutions/well-posedness引用本文复制引用
基金项目
山西省回国留学人员科研资助项目(2024-086)
出版年
2024
NETL
NSTL
万方数据