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. With its fresh problem-solving approach, "Game Theory in 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.

Table of Contents

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.

About the Author

Lacra Pavel is a full-time Professor in the Department of Electrical and Computer Engineering at the University of Toronto. She is a senior member of the Institute of Electrical and Electronic Engineers (IEEE), as well as a member of the IEEE Control Systems Society, Communication Society, Laser and Electro-Optics Society, Society for Industrial and Applied Mathematics, and Optical Society of America. Her areas of specialty center around control systems and communications, fields in which, over the past decade, she has served on many academic committees and review boards for conferences and journals. Dr. Pavel has earned five patents for her work, and published scores of articles and papers in international engineering journals.