不连续向量支付博弈α-核的存在性与稳定性

doi:10.15960/j.cnki.issn.1007-6093.2024.03.011

运筹学学报（中英文） ›› 2024, Vol. 28 ›› Issue (3): 153-164.doi: 10.15960/j.cnki.issn.1007-6093.2024.03.011

所属专题：庆贺俞建教授80华诞专辑

• 俞建教授八十华诞贺寿专辑 • 上一篇

不连续向量支付博弈α-核的存在性与稳定性

宋奇庆¹^,*(), 池欣宜¹, 吴高宇¹, 孙铭璐¹

1. 山西师范大学数学与计算机科学学院, 山西太原 030031

收稿日期:2024-04-05 出版日期:2024-09-15 发布日期:2024-09-07
通讯作者: 宋奇庆 E-mail:songqiqing@126.com
基金资助:
山西省回国留学人员科研资助项目(2024-086)

The existence and stability of α-core for discontinuous vector payoff games

Qiqing SONG¹^,*(), Xinyi CHI¹, Gaoyu WU¹, Minglu SUN¹

1. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, Shanxi, China

Received:2024-04-05 Online:2024-09-15 Published:2024-09-07
Contact: Qiqing SONG E-mail:songqiqing@126.com

摘要/Abstract

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。

关键词: 博弈, 向量支付, 连续性, α-核, 复合均衡, 良定性

Abstract:

This studies the existence and stability of α-core of games with discontinuous 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. Furthermore, 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.

Key words: games, vector payoffs, continuity, α-core, hybrid solutions, well-posedness

中图分类号:

O225
O177.91

宋奇庆, 池欣宜, 吴高宇, 孙铭璐. 不连续向量支付博弈α-核的存在性与稳定性[J]. 运筹学学报（中英文）, 2024, 28(3): 153-164.

Qiqing SONG, Xinyi CHI, Gaoyu WU, Minglu SUN. The existence and stability of α-core for discontinuous vector payoff games[J]. Operations Research Transactions, 2024, 28(3): 153-164.

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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

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