Existence and continuity theorems of α-core of multi-leader-follower games with set payoffs

被引：2

作者：

Chen, Tao ^{[1
]}

Chen, Kunting ^{[1
]}

Zhang, Yu ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Sch Econ, Kunming 650221, Peoples R China

[2] Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming 650221, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 439卷

基金：

中国国家自然科学基金;

关键词：

alpha-core; Existence; Stability; Set payoffs; Multi-objective game; Multi-leader-follower game; NORMAL-FORM GAMES; COOPERATIVE EQUILIBRIA; OLIGOPOLISTIC MARKETS; NASH EQUILIBRIA; FINITE GAMES; STABILITY; INEQUALITIES;

D O I：

10.1016/j.cam.2023.115610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the alpha-core of multi-leader-follower (MLMF in short) games with set payoffs. By applying a generalized Scarf's theorem, we investigate the existence of the alpha- core of MLMF games with set payoffs in the setting of continuity and properly cone quasi-concave of set payoffs functions of leaders and followers. We also investigate the continuity of alpha-core of MLMF games with set payoffs when the leaders and followers payoffs functions are perturbed. As special cases, we obtain the corresponding existence and continuity theorems of single-leader-multi-follower (SLMF in short) games and multi-leader-single-follower (MLSF in short) games, respectively. Moreover, some numerical examples illustrate the results.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9

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