Game Theory for Control of Optical Networks

1. Front Matter

   Pages I-XIII

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2. Introduction

   • Lacra Pavel

   Pages 1-7

3. Game Theory Essentials

   1. Front Matter

      Pages 9-9

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   2. Basics of Game Theory

      • Lacra Pavel

      Pages 11-26

   3. Matrix Games

      • Lacra Pavel

      Pages 27-43

   4. Games with Continuous Action Spaces

      • Lacra Pavel

      Pages 45-54

   5. Computational Results for Games with Coupled Constraints

      • Lacra Pavel

      Pages 55-67

4. Game Theory in Optical Networks

   1. Front Matter

      Pages 69-69

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   2. Optical Networks: Background and Modeling

      • Lacra Pavel

      Pages 71-95

   3. Games in Point-to-Point Topologies

      • Lacra Pavel

      Pages 97-120

   4. Games in Network Topologies

      • Lacra Pavel

      Pages 121-142

   5. Nash Equilibria Efficiency and Numerical Studies

      • Lacra Pavel

      Pages 143-159

   6. Simulations and Experimental Studies

      • Lacra Pavel

      Pages 161-185

5. Robustness, Delay Effects, and Other Problems

   1. Front Matter

      Pages 187-187

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6. Robustness, Delay Effects and Other Problems

   1. Robustness and Delay Effects on Network Games

      • Lacra Pavel

      Pages 189-209

   2. Games for Routing and Path Coloring

      • Lacra Pavel

      Pages 211-223

   3. Summary and Conclusions

      • Lacra Pavel

      Pages 225-227

7. Back Matter

   Pages 229-261

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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 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.

• communication networks
• control of networks
• emerging control theory
• game theory
• optical networks

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)

• , Department of Electrical and Computer En, University of Toronto, Toronto, Canada

  Lacra Pavel

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.

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