随机合作对策核心非空的条件  

The Condition of Non Empty Core in Stochastic Cooperative Game

作　　者：白红信 BAI Hongxin(College of Data Science and Software Engineering,Baoding University,Baoding,Hebei 071000,China)

机构地区：[1]保定学院数据科学与软件工程学院,河北保定071000

出　　处：《保定学院学报》2023年第4期109-112,117,共5页Journal of Baoding University

摘　　要：基于随机合作对策模型,给出了在效益可以转移的前提下随机合作对策核心非空的必要条件,探讨了随机合作对策的超可加性与凸性的关系.结合平衡随机合作对策概念与分割超平面定理,得到了随机合作对策的核心非空的充分必要条件.Based on the model of stochastic cooperative game,this paper gives a necessary condition for TU game when the core of stochastic cooperative game is nonempty and discusses the relationship between supperadditivity and convexity.Finally it establishes the concept of balanced stochastic cooperative game and gives the sufficient and necessary condition for the nonemptiness of the core of stochastic cooperative game.

关 键 词：核心 超可加性 凸性 超平面 平衡随机合作对策 

分 类 号：O225[理学—运筹学与控制论]