%0 Journal Article
%T 闭环动态古诺垄断博弈的γ-核<br>The γ-Core of Dynamic Cournot Oligopoly Games with Closed-Loop Information
%A 刘佳伟
%A 赵昕
%A 郑志杰
%A 王磊
%J Pure Mathematics
%P 3371-3379
%@ 2160-7605
%D 2023
%I Hans Publishing
%R 10.12677/PM.2023.1312350
%X 本文研究具有闭环(无记忆)信息的效用可转移动态古诺垄断博弈的γ-核心解。基于合作微分博弈框架，运用Pontryagin极大值原理，获得了闭环信息的γ-特征函数，并进一步证明γ-核非空。数值例子表明，与开环信息相比，闭环信息不能带来真子联盟γ-特征函数值的一致严格变大或变小；但闭环信息对γ-核存在性的影响是鲁棒的。<br />
This paper investigates the γ-core for the transferable-utility dynamic Cournot oligopoly game with closed-loop (memoryless) information. Based on the cooperative differential game and the Pontryagin maximum principle, we obtain the γ-characteristic function and further prove the non-emptiness of γ-core. Numerical example shows that compared to the open-loop information, the closed-loop information cannot bring the γ-characteristic function values of any proper coalition uniformly increasing or decreasing. But the impact of closed-loop information is robust for the non-emptiness of γ-core.
%K 微分博弈，古诺垄断，闭环信息，特征函数，γ-核<br>Differential Game
%K Cournot Oligopoly
%K Closed-Loop Information
%K Characteristic Function
%K γ-Core
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=77319