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.
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Funding
This work was supported by the Russian Science Foundation, project no. 22-11-00051, https://rscf.ru/en/project/22-11-00051/.
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Translated by I. Ruzanova
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Tur, A.V., Petrosyan, L.A. Average Tree Solution in Multi-Agent Systems with Network Structure. Dokl. Math. 108 (Suppl 1), S100–S106 (2023). https://doi.org/10.1134/S1064562423600707
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DOI: https://doi.org/10.1134/S1064562423600707