×

Superadditive extension of characteristic functions for cooperative differential games. (Russian. English summary) Zbl 1465.91006

Mat. Teor. Igr Prilozh. 12, No. 4, 40-61 (2020); correction ibid. 13, No. 2, 118-119 (2021).
Summary: 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 \(\delta \)- and \(\eta \)-characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity.

MSC:

91A12 Cooperative games
91A23 Differential games (aspects of game theory)
PDFBibTeX XMLCite
Full Text: MNR