Scientific publications

Я. Хe, Л.А. Петросян.

Двухуровневая кооперация в дифференциальной игре загрязнения окружающей среды с попарными взаимодействиями

// Математическая Теория Игр и ее Приложения, т. 17, в. 2. 2025. C. 90-105

Yang He, Leon A. Petrosyan, Yaroslavna B. Pankratova. An example of two level cooperation for Differential Game with Pairwise Interactions in pollution control problems // Mathematical game theory and applications. Vol 17. No 2. 2025. Pp. 90-105

Keywords: cooperative games, differential network games, pairwise interactions, Shapley value

In this paper, we consider two levels of cooperation in a differential game with pairwise interactions. At the first level, the partner sets are treated as players, and the Shapley value is used to allocate the payoff among the partner sets. At the second level, this payoff is distributed among the individual players within each partner set. A new characteristic function is constructed, and its convexity is proved. The results are illustrated through pollution control problem involving pairwise interactions.

Indexed at RSCI, RSCI (WS)

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Last modified: August 22, 2025