Scientific publications

А.В. Тур, Л.А. Петросян.

Решение усредненного дерева в многоагентных системах с сетевой структурой

// Математическая Теория Игр и ее Приложения, т. 15, в. 1. 2023. C. 73-89

Anna V. Tur, Leon A. Petrosyan. Average tree solution in multi-agent systems with network structure // Mathematical game theory and applications. Vol 15. No 1. 2023. Pp. 73-89

Keywords: multi-agent systems, differential games, games on networks, cooperative game, average tree solution.

The paper proposes the use of methods of differential games 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 considered.

Indexed at RSCI, RSCI (WS)

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Last modified: April 14, 2023