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Average Tree Solution in Multi-Agent Systems with Network Structure. / Тур, Анна Викторовна; Петросян, Леон Аганесович.

In: Doklady Mathematics, Vol. 108, No. Suppl 1, 04.03.2024, p. S100-S106.

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@article{cd9b1f4ea8c240a0b5d11855cdf8d5e1,
title = "Average Tree Solution in Multi-Agent Systems with Network Structure",
abstract = "Abstract: Methods of differential games are used to find the optimal solution in a multi-agent system with a network structure. A class of differential games on cycle-free graphs is described. A characteristic function of a special form is used, which takes into account the network structure of the game. The average tree solution is considered as a cooperative optimality principle. An illustrative example is given.",
keywords = "average tree solution, cooperative game, differential games, games on networks, multi-agent systems",
author = "Тур, {Анна Викторовна} and Петросян, {Леон Аганесович}",
year = "2024",
month = mar,
day = "4",
doi = "10.1134/s1064562423600707",
language = "English",
volume = "108",
pages = "S100--S106",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "Suppl 1",

}

RIS

TY - JOUR

T1 - Average Tree Solution in Multi-Agent Systems with Network Structure

AU - Тур, Анна Викторовна

AU - Петросян, Леон Аганесович

PY - 2024/3/4

Y1 - 2024/3/4

N2 - Abstract: Methods of differential games are used to find the optimal solution in a multi-agent system with a network structure. A class of differential games on cycle-free graphs is described. A characteristic function of a special form is used, which takes into account the network structure of the game. The average tree solution is considered as a cooperative optimality principle. An illustrative example is given.

AB - Abstract: Methods of differential games are used to find the optimal solution in a multi-agent system with a network structure. A class of differential games on cycle-free graphs is described. A characteristic function of a special form is used, which takes into account the network structure of the game. The average tree solution is considered as a cooperative optimality principle. An illustrative example is given.

KW - average tree solution

KW - cooperative game

KW - differential games

KW - games on networks

KW - multi-agent systems

UR - https://www.mendeley.com/catalogue/f9087034-2d88-3625-b608-79f623307df0/

U2 - 10.1134/s1064562423600707

DO - 10.1134/s1064562423600707

M3 - Article

VL - 108

SP - S100-S106

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - Suppl 1

ER -

ID: 117497035