A Class of General Transformation of Characteristic Functions in Dynamic Games  

作　　者：LIU Cui GAO Hongwei PETROSIAN Ovanes LIU Ying WANG Lei 

机构地区：[1]School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China [2]School of Mathematics and Statistics,Institute of Applied Mathematics of Shandong,Qingdao University,Qingdao 266071,China [3]Faculty of Applied Mathematics and Control Processes,Saint Petersburg State University,Saint Petersburg 198504,Russia [4]School of Automation,Qingdao University,Qingdao 266071,China

出　　处：《Journal of Systems Science & Complexity》2020年第6期1997-2012,共16页系统科学与复杂性学报（英文版）

基　　金：the National Natural Science Foundation of China under Grant No.71571108;China Postdoctoral Science Foundation Funded Project under Grant No.2016M600525;Qingdao Postdoctoral Application Research Project under Grant No.2016029。

摘　　要：The transformation of characteristic functions is an effective way to avoid time-inconsistency of cooperative solutions in dynamic games.There are several forms on the transformation of characteristic functions.In this paper,a class of general transformation of characteristic functions is proposed.It can lead to the time-consistency of cooperative solutions and guarantee that the irrational-behaviorproof conditions hold true.To illustrate the theory,an example of dynamic game on a tree is given.

关 键 词：Dynamic cooperative game general transformation of characteristic function irrational-behavior-proof condition TIME-CONSISTENCY 

分 类 号：O225[理学—运筹学与控制论]