无限参与人市场博弈中可传递效用核的存在性  

On the Nonemptiness of the TU Core for a Market Game with Infinitely Many Players

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

机构地区：[1]贵州财经大学数学与统计学院,贵阳550025 [2]贵州省大数据统计分析重点实验室,贵阳550025 [3]上海财经大学经济学院,上海200433

出　　处：《系统科学与数学》2024年第4期1014-1030,共17页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(72371146);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)资助课题。

摘　　要：文章考虑一个具有无限多参与人与无限维商品空间的生产经济.在这样的生产经济中,构建一类具有无限参与人的市场博弈,并定义出其中可传递效用核.结合过去有限参与人合作均衡存在性定理,文章主要证明了市场博弈中可传递效用核的存在性.具有无限维商品空间和无限多参与人市场博弈的构建,与市场博弈中的可传递效用核的存在性证明为文章的两个主要贡献.We consider a market game generated from a production economy with infinitely many agents and an infinite dimensional commodity space.We shall define the transferable utility core,and prove the existence of the transferable utility core for market games.Our main contributions are to establish the market game with infinitely many players and an infinite dimensional commodity space and prove the existence of the transferable utility core.

关 键 词：可传递效用核 市场博弈 无限参与人 无限维商品空间 

分 类 号：F014.3[经济管理—政治经济学] F224.32