Game Theory for Control of Optical Networks

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.

• 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.

From the reviews:“This is a textbook summarizing current research on game theoretic models for control of optical networks. … The book is a very clear exposition of a very active research area and brings the reader close to state-of-the art. It does a very good job of highlighting the role of game theoretic techniques, often presenting more than one approach or algorithm for a problem, and … it can be used to advantage by an interested researcher without prior exposure to familiarize herself with the broad area.” (Vivek S. Borkar, Zentralblatt MATH, Vol. 1242, 2012)