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

In the paper two-stage cooperative network games with pairwise interactions are considered. First stage is a network formation stage. On the second stage players play bimatrix games between partners according to the network realized on the first stage. The explicit formulas for characteristic function are derived, the core is constructed. Sufficient condition for strongly time-consistency of the core is formulated. The results are illustrated on example.