“…In the splittable case, NE need not exists, but it is proven that in the unsplittable case NE always exists. In [40], the authors consider the assignment of service classes to each user's traffic at each one of the routers in a path. In this analysis, each user provides a QoS vector and a utility function, and the user actions are the choices of service classes at each router, such that his traffic will meet the QoS goals with minimum cost.…”