Cooperative optimality principals in differential games on networks

The paper describes a class of differential games on networks. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. The core, the Shapley value and the $\tau$-value are used as cooperative optimality principles. The results are demonstrated on a model of a differential research investment game, where the Shapley value and the $\tau$-value are explicitly constructed.