Irrational-Behavior-Proof Conditions Based on Limit Characteristic Functions

论文摘要

Irrational-behavior-proof（IBP） conditions are important aspects to keep stable cooperation in dynamic cooperative games. In this paper, we focus on the establishment of IBP conditions.Firstly, the relations of three kinds of IBP conditions are described. An example is given to show that they may not hold, which could lead to the fail of cooperation. Then, based on a kind of limit characteristic function, all these conditions are proved to be true along the cooperative trajectory in a transformed cooperative game. It is surprising that these facts depend only upon the individual rationalities of players for the Shapley value and the group rationalities of players for the core. Finally,an illustrative example is given.

论文目录

文章来源

类型: 期刊论文

作者: Cui LIU,Hongwei GAO,Ovanes PETROSIAN,Juan XUE,Lei WANG

来源: Journal of Systems Science and Information 2019年01期

年度: 2019

分类: 信息科技,基础科学

专业: 数学

单位: School of Mathematics and Statistics,Qingdao University,School of Mathematics and Statistics,Institute of Applied Mathematics of Shandong,Qingdao University,Faculty of Applied Mathematics and Control Processes,Saint Petersburg State University,School of Mathematics and Statistics,College of Automation and Electrical Engineering,Qingdao University

基金: supported by National Natural Science Foundation of China(71571108),Projects of International (Regional) Cooperation and Exchanges of NSFC(71611530712,61661136002),China Postdoctoral Science Foundation Funded Project(2016M600525),Qingdao Postdoctoral Application Research Project(2016029)

分类号: O225

页码: 1-16

总页数: 16

文件大小: 258K

下载量: 28

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