Scientific publications

The paper examines a class of linear-state dynamic network games. A partially cooperative equilibrium is characterized as an intermediate solution between non-cooperative and cooperative play, allowing for the formation of a single coalition. Based on this equilibrium, a characteristic function is defined, enabling time-consistent distribution schemes for the maximum total payoff. The results are illustrated using a river pollution model with competing firms and generalized to tree graphs. It is shown that without payoff redistribution, the graph structure determines distinct player groups with differing incentives for cooperation. However, implementing time-consistent distribution schemes based on the Shapley value and CIS-value aligns individual incentives and motivates all players to sustain full cooperation.