Cooperative Optimality Principles in Differential Games on Networks

被引：3

作者：

Tur, A. V. ^{[1
]}

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

机构：

[1] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2021年 / 82卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

differential games; games on networks; cooperative games;

D O I：

10.1134/S0005117921060096

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We describe a class of differential games on networks and study the problem of constructing cooperative optimality principles using a characteristic function of a special type taking into account the network structure of the game. We use the core, Shapley value, and tau-value as cooperative optimality principles. The results are demonstrated on a model of a differential knowledge stock game, where the Shapley value and the tau-value are constructed in explicit form.

引用

页码：1095 / 1106

页数：12

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