具有模糊联盟的网络寡头博弈中合作均衡研究  

Studies on Cooperative Equilibria of Network Oligopoly Games with Fuzzy Coalitions

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;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》2023年第10期2648-2662,共15页Journal of Systems Science and Mathematical Sciences

基　　金：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(2022XSXMB22)资助课题。

摘　　要：基于市场的空间分离性和厂商之间的合作行为假设,文章把模糊联盟思想植入到网络寡头博弈中.参考非传递效用合作博弈与可传递效用合作博弈中核的定义,分别基于非传递效用与可传递效用两种情形,在网络寡头博弈中定义出模糊联盟合作非传递效用均衡与模糊联盟合作可传递效用均衡.文章采用网络寡头博弈中构建非传递效用模糊联盟合作博弈与可传递效用模糊联盟合作博弈的研究方法,利用已有非传递效用模糊核与可传递效用模糊核的存在性定理,分别证明了网络寡头博弈中模糊联盟合作非传递效用均衡与模糊联盟合作可传递效用均衡的存在性.最后,一个简单的算例验证结论的可行性.网络寡头博弈中模糊联盟合作均衡的引入与相应的存在性证明为文章的主要贡献.Basing the spatial separated factor of markets and the cooperative behaviors of firms,we establish the network oligopoly games with fuzzy coalitions.By referring to the core notions of nontransferable utility cooperative games and transferable utility cooperative games,we define the fuzzy cooperative nontransferable utility equilibrium and fuzzy cooperative transferable utility equilibrium of network oligopoly games with nontransferable utilities and transferable utilities.We shall establish the nontransferable utility fuzzy cooperative game and transferable utility fuzzy cooperative game from network oligopoly games.Furthermore,by the existing nontransferable utility fuzzy core and transferable utility fuzzy core nonemptiness theorems,we prove the existences of fuzzy cooperative nontransferable and transferable utility equilibria for network oligopoly games.Finally,a simple numerical example is given to verify the feasibility of our results.Our main contributions are fuzzy cooperative equilibrium concepts of network oligopoly games and their existence theorems.

关 键 词：网络寡头博弈 模糊联盟 合作均衡 非传递效用 可传递效用 

分 类 号：F49[经济管理—产业经济] F224.32[理学—运筹学与控制论] O225[理学—数学]