The aim of this paper is the characterization and the computation of equilibrium solutions in multistage games represented by networks. More specifically, we are interested by the two following cases. The first one corresponds to the situation where the game is defined, at each period, on a network having a topology which evolves according to an event tree and the decisions taken by the different agents. In the second case, the stages correspond to the transformation process of a primary resource until it reaches its final form as a finished product.