Scientific publications

Е.В. Громова, Е.В. Марова.

Супераддитивное расширение характеристических функций в кооперативных дифференциальных играх

// Математическая Теория Игр и ее Приложения, т. 12, в. 4. 2020. C. 40-61

Ekaterina V. Gromova, Ekaterina V. Marova. Superadditive extension of characteristic functions for cooperative differential games // Mathematical Game Theory and Applications. Vol 12, No 4. 2020. Pp. 40-61

Keywords: cooperative games, characteristic function, differential games, superadditivity

The paper provides a constructive theorem that allows one to construct a superadditive characteristic function in a differential game based on a non-superadditive one. As an example, a differential game is considered in which the δ – and η – characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity

DOI: 10.17076/mgta_2020_4_25

Indexed at RSCI, RSCI (WS)

vol_12_4_40-61_gromova.pdf (247 Kb, total downloads: 92)

Last modified: December 23, 2020