Preface -- 1 Introduction -- Part I Game Theory Essentials -- 2 Basics of Game Theory -- 3 Matrix Games -- 4 Games with Continuous Action Spaces -- 5 Computational Results for Games with Coupled Constraints -- Part II Game Theory in Optical Networks.- 6 Optical Networks: Background and Modeling.- 7 Games in Point-to-Point Topologies.- 8 Games in Network Toplogies.- 9 Nash Equilibria Efficiency and Numerical Studies -- 10 Simulations and Experimental Studies -- Part III Robustness, Delay Effects, and Other Problems.- 11 Robustness and Delay Effects onNetwork Games.- 12 Games for Routing and Path Coloring -- 13 Summary and Conclusions. A Supplementary Material -- B List of Notations -- References -- Index.

Optical networks epitomize complex communication systems, and they comprise the Internet’s infrastructural backbone. The first of its kind, this book develops the mathematical framework needed from a control perspective to tackle various game-theoretical problems in optical networks. In doing so, it aims to help design control algorithms that optimally allocate the resources of these networks. The book’s main focus is a control-theoretic analysis of dynamic systems arising from game formulations with non-separable player utilities and with coupled as well as propagated (modified) constraints. Compared with the conventional static optimization approach, this provides a more realistic model of how optical networks operate. Its methods and techniques could be used to improve networks’ functionality and adaptivity, potentially enhancing the speed and reliability of communications throughout the world. With its fresh problem-solving approach, Game Theory for Control of Optical Networks is a unique resource for researchers, practitioners, and graduate students in applied mathematics and systems/control engineering, as well as those in electrical and computer engineering.