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

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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Publication Details

Journal
Doklady Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1064562424702363
Primary Topic
Electric Power Systems and Control
Type
article
Field-Weighted Citation Impact
0.00
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article

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

M. A. Gorelov
Doklady Mathematics
Electric Power Systems and Control
article

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

M. A. Gorelov
article en

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.

Doklady MathematicsVol. 110(S2)
Russian Academy of Sciences (RU)
Openalex Percentile: Top 73%
Electric Power Systems and Control
DOISourceOpenAlex
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Model of a Two-Level Hierarchical System with Cooperative Behavior of Lower-Level Elements — M. A. Gorelov · Doklady Mathematics (2024) | TGRS Research Map | TGRS