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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2025 Volume 17, Issue 2, Pages 3–36 (Mi mgta365)

Voluntary information exchanges in hierarchical games

Mikhail A. Gorelov

Federal Research Center “Computer Science and Control” of Russian Academy of Sciences

Abstract: The model of control of a hierarchical system under conditions of uncertainty is considered. It is assumed that the lower-level element is better informed about external factors and can share this information. However, this information may be unreliable and the top-level element cannot verify it. The problem of calculating the maximal guaranteed result in the corresponding games is investigated. The qualitative features of the structure of optimal strategies are described.

Keywords: decision-making under conditions of uncertainty, hierarchical games, information, maximal guaranteed result.

UDC: 519.865+519.95
BBK: 22.18

Received: 12.09.2024
Revised: 09.05.2025
Accepted: 19.06.2025



© Steklov Math. Inst. of RAS, 2025