Geodesic
Average tree solution in multi-agent systems with network structure
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 1, pp. 73-89

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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.
Keywords: multi-agent systems, differential games, games on networks, cooperative game, average tree solution. 
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     author = {Anna V. Tur and Leon A. Petrosyan},
     title = {Average tree solution in multi-agent systems with network structure},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2023_15_1_a2/}
}
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Anna V. Tur; Leon A. Petrosyan. Average tree solution in multi-agent systems with network structure. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 1, pp. 73-89. http://geodesic.mathdoc.fr/item/MGTA_2023_15_1_a2/