Solutions of Cooperative Differential Games with Partner Sets

被引：0

作者：

Petrosyan, L. A. ^{[1
]}

Pankratova, Ya. B. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

DOKLADY MATHEMATICS | 2023年 / 108卷 / SUPPL 1期

基金：

俄罗斯科学基金会;

关键词：

Shapley value; differential network game; partner sets;

D O I：

10.1134/S1064562423600719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game. A special-type characteristic function that takes into account players in partner sets is introduced, and its superadditivity is proved. As a solution, we propose a C-core, for which nonemptiness is proved, as well as a Shapley value and tau-value.

引用

页码：S92 / S99

页数：8

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