The $\tau$-value in multistage games with pairwise interactions

We consider multistage bimatrix games with pairwise interactions. On the first stage players chose their neighbours and formed a network. On the later stages bimatrix games between neighbours by network take places. As a solution consider the $\tau$-value (Tijs, 1987). Earlier we calculated coefficient $\lambda$ of $\tau$-value in case of two-stage game. Now we consider a general case of one-stage game with any players and any number of links. We assumed followings: $N$ is set of players, $|N|\geqslant 2$, and any type of network $g$. It is also assumed, that there are not necessarily paths between every pair of vertices. We will consider conditions for time-consistency of $\tau$-value in two-stage game.