非传递效用模糊博弈中模糊核的连续性与良定性  

Continuity and Well-posedness of the Fuzzy Core for Nontransferable Utility Fuzzy Games

作　　者：王能发[1] 杨哲[2] 刘自鑫[1] WANG Nengfa;YANG Zhe;LIU Zixin(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou Key Laboratory of Big Data Statistical Analysis,Guiyang 550025,China;School of Economics,Shanghai University of Finance and Economics,Shanghai 200433,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州省大数据统计分析重点实验室,贵阳550025 [2]上海财经大学经济学院,上海200433

出　　处：《应用数学学报》2023年第6期952-962,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(62062018);贵州省大数据统计分析重点实验室(黔科合平台人才[2019]5103);贵州财经大学创新探索及学术新苗项目(2022XSXMB22);贵州省高层次创新型人才项目(黔科合平台人才-GCC[2022]020-1)资助项目。

摘　　要：本文首先研究了非传递效用模糊博弈中模糊核的连续性.其次,给出了模糊核的良定性定义.进一步,证明了具有非空模糊核的非传递效用模糊博弈是广义良定的.最后,经分析得到,存在一个稠密剩余子集,使得其中的非传递效用模糊博弈是鲁棒良定的.In this paper,we first study the continuity property of the fuzzy core for nontransferable utility fuzzy games.Second,we introduce the notion of well-poseness for nontransferable utility fuzzy games with respect to the fuzzy core.Furthermore,we show that every nontransferable utility fuzzy game with a nonempty fuzzy core is generalized well-posed.Finally,we show that there must be a dense residual set such that every nontransferable utility fuzzy game in the dense residual set is robustly well-posed.

关 键 词：连续性 良定性 模糊核 非传递效用模糊博弈 

分 类 号：O225[理学—运筹学与控制论]