发表机构
School of Mathematical Sciences, Shanxi Normal University（山西师范大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究非连续效用交换经济中模糊核的非空性，提出两个稳定性条件并构造NTU博弈，证明拟凹效用下模糊核及凹效用下TU-模糊核的非空性。
AI 中文摘要
本文研究了模糊核的非空性，并针对具有非连续效用函数的纯交换经济引入了TU-模糊核的概念。我们提出了两个稳定性条件：局部模糊联盟稳定性和局部TU-模糊联盟稳定性。我们还引入了代理集子集的一个独立π-平衡族，以构造两个依赖于支付的NTU博弈。这些构造作为连接模糊核、TU-模糊核与NTU博弈的桥梁。在所提出的稳定性条件下，我们建立了具有拟凹效用函数的经济中模糊核的非空性，以及具有凹效用函数的经济中TU-模糊核的非空性。
英文摘要
This paper investigates the non-emptiness of the fuzzy core and introduces the notion of the TU-fuzzy core for pure exchange economies with discontinuous utility functions. We propose two stability conditions: local fuzzy-coalition stability and local TU-fuzzy-coalition stability. We also introduce an independent-$π$-balanced family of subsets of the agent set to construct two payoff-dependent NTU games. These constructions serve as bridges linking the fuzzy core, the TU-fuzzy core, and NTU games. Under the proposed stability conditions, we establish the non-emptiness of the fuzzy core for economies with quasi-concave utility functions and the non-emptiness of the TU-fuzzy core for economies with concave utility functions.
