Scientific publications

А.В. Тур, И.Р. Тантлевский.

Об одной дифференциальной игре на гиперграфе

// Математическая Теория Игр и ее Приложения, т. 17, в. 2. 2025. C. 75-89

Anna V. Tur, Igor R. Tantlevskij. About one differential game on hypergraph // Mathematical game theory and applications. Vol 17. No 2. 2025. Pp. 75-89

Keywords: differential games, cooperative games, games on networks, games on hypergraphs, characteristic function, the Shapley value, network models

Cooperative differential games on hypergraphs are considered. The characteristic function of a certain type, taking into account the network structure of the game, and its properties are studied. The Shapley value is chosen as the cooperative optimality principle. For games on hypergraphs whose line graph is cycle-free, a formula for the explicit form of the Shapley value is obtained. An illustrative example is considered.

Indexed at RSCI, RSCI (WS)

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Last modified: August 22, 2025