Irrational-Behavior-Proof Conditions for Stochastic Games over Event Trees  

作　　者：Lei Wang Cui Liu Hong-Wei Gao Chong Lin 

机构地区：[1]School of Automation,Institute of Complexity Science,Qingdao University,Qingdao 266071,Shandong,China [2]School of Mathematics and Statistics,Institute of Applied Mathematics of Shandong,Qingdao University,Qingdao 266071,Shandong,China

出　　处：《Journal of the Operations Research Society of China》2024年第1期243-263,共21页中国运筹学会会刊（英文）

基　　金：supported by National Natural Science Foundation of China(No.72171126);China Postdoctoral Science Foundation(No.2016M600525);Qingdao Postdoctoral Application Research Project(No.2016029).

摘　　要：In this paper,the irrational-behavior-proof conditions in a class of stochastic dynamic games over event trees are presented.Four kinds of irrational-behavior-proof conditions are proposed by the imputation distribution procedure,and their relationships are discussed.More specific properties for the general transformation of characteristic functions are developed,based on which,the irrational-behavior-proof conditions are proved to be true in a transformed cooperative game.

关 键 词：Dynamic cooperative game Event tree Irrational-behavior-proof condition Imputation distribution procedure Transformation of characteristic function 

分 类 号：O17[理学—数学]