About strongly time-consistency of core in the network game with pairwise interactions

A note on cooperative differential games with pairwise interactions

“…To the best of the author's knowledge, the research related to cooperative games with pairwise interaction is done in [4][5][6][7][8]. For the first time, in a cooperative form, a multistage network game with pairwise interaction is considered, when players play bimatrix games with their neighbors by network structure, and sufficient conditions for strong time consistency of the core are formulated [4].…”

“…In [6], considering multistage cooperative games with pairwise interaction, an analogue of the core is constructed and its strong time consistency proved. Furthermore, alternative approaches to constructing the characteristic function for games with pairwise interaction are considered [7]. And a new characteristic function is constructed, which has a lower computational complexity than the classical one, the IDP-core is proposed and its strong time consistency proved [8].…”