Foundations of Network Optimization and Games

“This book is about nonlinear deterministic network models. … Each chapter is self-contained and has its own reference list. The book's main aim is to present a tool kit to model and solve complex network problems in practice. … It is easy to follow the exposition. … this book provides a good guideline for first and second reading.” (Mechthild Opperud, Mathematical Reviews, June, 2016)“The book presents an excellent comprehensive introduction to the area of network flow problems, where not only a system optimum is searched, but also the behaviour of competing non-cooperative users is taken into account. … Generally, it can be stated that the book constitutes a precious guide for researchers and advanced students to the field of network flow problems.” (Jaroslav Janáček, zbMATH 1344.90062, 2016)

• Introduction.- Elements of Nonlinear Programming.- Elements of Graph Theory.- Programs with Network Structure.- Near-Network and Large-Scale Programs.- Normative Network Models and Their Solution.- Nash Games.- Network Traffic Assignment.- Spatial Price Equilibrium on Networks.- Network Stackelberg Games and Mathematical Programs with Equilibrium Constraints.