Solving constrained OSNR Nash game in WDM optical networks with a fictitious player

Non-cooperative game theory is a powerful modeling tool for resource allocation problems in modern communication networks. However, practical concerns of capacity constraints and allocation efficiency have been a challenge for network engineers. In this paper, we base our results in the context of link-level power control of optical networks and propose a special form of games with an additional player to overcome these difficulties.We introduce a novel framework with a fictitious player (GFP) to extend the current OSNR Nash game framework with capacity constraints. We characterize a more analytically tractable solution in comparison to other approaches and propose a first-order iterative algorithm to find the equilibrium.