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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2023, Volume 15, Issue 4, Pages 28–53 (Mi mgta329)  
A model of a two-level hierarchical system with cooperative behavior of lower-level elements

Mikhail A. Gorelov

Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
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Abstract: One of the possible generalizations to the case of many persons of the classical hierarchical Germeier game is investigated. It is assumed that the lower level players choose one of the weakly efficient points. The maximal guaranteed result of the top-level player is calculated. Two variants of formulation of the problems are considered: games with and without feedback.
Keywords: hierarchical games, maximal guaranteed result, multi-objective problems.
Received: 30.06.2023
Revised: 13.09.2023
Accepted: 01.12.2023
Document Type: Article
UDC: 519.865+519.95
BBC: 22.18
Language: Russian
Citation: Mikhail A. Gorelov, “A model of a two-level hierarchical system with cooperative behavior of lower-level elements”, Mat. Teor. Igr Pril., 15:4 (2023), 28–53
Citation in format AMSBIB
\Bibitem{Gor23}
\by Mikhail~A.~Gorelov
\paper A model of a two-level hierarchical system with cooperative behavior of lower-level elements
\jour Mat. Teor. Igr Pril.
\yr 2023
\vol 15
\issue 4
\pages 28--53
\mathnet{http://mi.mathnet.ru/mgta329}
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