Strongly Time-consistent Solutions for Two-stage Network Games

In the paper, cooperative two-stage network games are studied. On the first stage of the game players form a network, while on the second stage players choose their behaviors according to the network realized on the first stage. As a cooperative solution concept in the game the core is considered. It is proved that some imputations are time-inconsistent, whereas one can design time-consistent imputation distribution procedure for them. Moreover, strong time-consistency is also considered.