About One Differential Game on Hypergraph

IF 0.8 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2026-04-16 DOI:10.1134/S1064562425601052

A. V. Tur, I. R. Tantlevskij

引用次数: 0

Abstract

A cooperative differential game on a hypergraph is considered. A characteristic function of special type is introduced taking into account the network structure of the game, and its properties are studied. The Shapley value is used as a cooperative optimality principle. For games on hypergraphs with a cycle-free line graph, an explicit formula for the Shapley value is obtained. An illustrative example is considered.

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关于超图上的一个微分对策

研究超图上的一类合作微分对策。考虑到博弈的网络结构，引入了一种特殊类型的特征函数，并对其性质进行了研究。采用Shapley值作为合作最优原则。对于无循环线形超图上的博弈，得到了Shapley值的显式公式。考虑一个说明性的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.