Model of a Two-Level Hierarchical System with Cooperative Behavior of Lower-Level Elements

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-03-28 DOI:10.1134/S1064562424702363

M. A. Gorelov

引用次数: 0

Abstract

One of the possible generalizations to the case of many persons of the classical hierarchical Germeier game has been studied. It has been assumed that the lower-level players select one of the weakly efficient points. The maximal guaranteed result of the top-level player has been calculated. Two variants of formulation of the problems: games with and without feedback have been considered.

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具有低级元素协作行为的两级层次系统模型

本文研究了经典分层格梅尔博弈中许多人的一种可能的推广。假设低级玩家选择一个弱效率点。计算了顶级选手的最大保证成绩。问题表述的两种变体：有反馈和没有反馈的游戏。

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 It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications.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.