ONE-WAY FLOW TWO-STAGE NETWORK GAMES

In the paper two-stage network games are considered in which at the first stage players form a directed network, whereas at the second stage they choose feasible controls. It is assumed that payoffs of players depend on both the network and controls chosen by their "neighbors". In a cooperative case we find cooperative behavior of players and consider the Shapley value as a solution of the game. It is proved that the Shapley value is time-inconsistent, therefore the dynamic Shapley value is defined with the use of imputation distribution procedure.