Scientific publications

Л.А. Петросян, Я.Б. Панкратова.

Решения кооперативных дифференциальных игр с партнерскими множествами

// Математическая Теория Игр и ее Приложения, т. 15, в. 2. 2023. C. 105-121

Leon A. Petrosyan, Yaroslavna B. Pankratova. Solutions of cooperative differential games with partner sets // Mathematical game theory and applications. Vol 15. No 2. 2023. Pp. 105-121

Keywords: Shapley value, differential network game, partner sets

Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game and introduces a special type of characteristic function that takes into account players in partner sets and proves its superadditivity. As a solution, we propose a C-core which non-emptiness is proved, as well as a Shapley value and a τ-value

Indexed at RSCI, RSCI (WS)

vol_15_2_105-121_petrosyan1.pdf (365 Kb, total downloads: 48)

Last modified: September 21, 2023