The paper describes a class of differential games on networks. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. The core, the Shapley value and the τ-value are used as cooperative optimality principles. The results are demonstrated on a model of a differential research investment game, where the Shapley value and the τ-value are explicitly constructed.
Translated title of the contribution COOPERATIVE OPTIMALITY PRINCIPALS IN DIFFERENTIAL GAMES ON NETWORKS
Original languageRussian
Pages (from-to)93-111
JournalМАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ
Volume12
Issue number4
StatePublished - 2020

    Research areas

  • differential games, games on networks, cooperative game

ID: 74706478