Cooperative Optimality Principles in Differential Games on Networks

We describe a class of differential games on networks and study the problem of constructing cooperative optimality principles using a characteristic function of a special type taking into account the network structure of the game. We use the core, Shapley value, and tau-value as cooperative optimality principles. The results are demonstrated on a model of a differential knowledge stock game, where the Shapley value and the tau-value are constructed in explicit form.