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This paper extends some duality results from a standard optimization setup to a noncooperative (Nash) game framework. A Nash game (NG) with coupled constraints is considered. Solving directly such a coupled NG requires coordination among possibly all players. An alternative approach is proposed based on its relation to a special constrained optimization(More)
This paper studies a constrained optical signal-tonoise ratio (OSNR) optimization problem in optical networks from the perspective of system performance. A system optimization problem is formulated with the objective of achieving an OSNR target for each channel while satisfying the total power constraint. In order to establish existence of a unique optimal(More)
This paper considers a generalized framework to study OSNR optimization-based end-to-end link level power control problems in optical networks. We combine favorable features of game-theoretical approach and central cost approach to allow different service groups within the network. We develop solutions concepts for both cases of empty and nonempty feasible(More)
We consider games in optical networks in the class of m-player games with coupled utilities and constraints. Nash equilibria of such games can be computed based on recent extension of duality to a game theoretical framework. This work extends previous results on games with coupled constraints in optical links to multi-link topologies. Coupled constraints in(More)
The general problem of Nash equilibrium design is investigated from an optimization perspective. Within this context, a specific but fairly broad class of noncooperative games are considered that have been applied to a variety of settings including network congestion control, wireless uplink power control, and optical power control. The Nash equilibrium(More)
This paper presents an asynchronous gossip-based algorithm for finding aNash equilibrium (NE) of a game in a distributedmulti-player network. The algorithm is designed in such away that playersmake decisions based on estimates of the other players’ actions obtained from local neighbors. Using a set of standard assumptions on the cost functions and(More)
We consider a gossip approach for finding a Nash equilibrium in a distributed multi-player network game. We extend previous results on Nash equilibrium seeking to the case when the players’ cost functions may be affected by the actions of any subset of players. An interference graph is employed to illustrate the partially-coupled cost functions and the(More)