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 languageRussian
Pages (from-to)73-89
JournalМАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ
Volume15
Issue number1
StatePublished - 23 Mar 2023

    Research areas

  • multi-agent systems, differential games, games on networks, cooperative game, average tree solution

ID: 104522132