A Nested Noncooperative OSNR Game in Optical Links with Dynamic Gain Filters

This paper considers the problem of channel optical signal-to-noise ratio (OSNR) optimization and extends the Nash game formulation in [11] to a more general configuration. The model in [11] considers optically amplified links and a lumped end-to-end network model, whereby channel powers can be adjusted independently only at the transmitter sites. In this paper a more general case is considered where channel powers are also adjustable at intermediary dynamic sites, specific to optical networks. For this inherent distributed configuration a new nested Nash game is formulated towards maximizing channel OSNR at receiver. Existence and uniqueness of the NE solution is shown and a recursive procedure for constructing it is given. Based on this, an iterative algorithm that is distributed with respect to both channels and spans is proposed.