A note on cooperative differential games with pairwise interactions

被引：0
|
作者：
He, Y. [1 ]
Petrosyan, L. A. [1 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA | 2024年 / 20卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
cooperative games; differential network games; pairwise interactions; characteristic function; the Shapley value; time-consistency;
D O I：
10.21638/11701/spbu10.2024.108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a differential game with pairwise interaction in a network is proposed. For explicitly, the vertices are players, and the edges are connections between them. Meanwhile, we consider the cooperative case. One special characteristic function is introduced and its convexity is proved. The core is used as a cooperative optimality principle. The characteristic function allows the construction of a time -consistent (dynamically stable) solutions, such as the Shapley value and the core. Finally, the results are illustrated by an example.
引用
收藏
页码：91 / 108
页数：18
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