Abstract: A cooperative differential game on a hypergraph is considered. A characteristic function of special type is introduced taking into account the network structure of the game, and its properties are studied. The Shapley value is used as a cooperative optimality principle. For games on hypergraphs with a cycle-free line graph, an explicit formula for the Shapley value is obtained. An illustrative example is considered.
Original languageEnglish
Pages (from-to)S60-S66
JournalDoklady Mathematics
Volume112
Issue numberSuppl 1
Early online date13 Mar 2026
DOIs
StatePublished - 16 Apr 2026

    Research areas

  • differential games, cooperative games, games on networks, games on hypergraphs, characteristic function, Shapley value, network models, Judea, cooperative games, network models, Shapley value, differential games, characteristic function, games on hypergraphs, games on networks

ID: 150396279