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.
Original language
Russian
Pages (from-to)
73-89
Journal
МАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ
Volume
15
Issue number
1
State
Published - 23 Mar 2023
Research areas
multi-agent systems, differential games, games on networks, cooperative game, average tree solution