Path Player Games: Analysis and Applications (Springer Optimization and Its Applications Book 24)

A path player game is a new innovative type of game which considers network flow problems from the viewpoint of network owners. This strategy enables modeling real-world problems and has many practical applications. Key features: \* Presents a rigorous exposition of the theoretical foundations of the concept of a path player game; \* Suggests 18 practical open problems for future research in such areas as traffic planning, computation of equilibria, and optimization; \* Examines potentials for games on polyhedra as well as integer versions of generalized Nash equilibria. Written clearly, with well-presented mathematics, this book is intended for graduate students, mathematicians, engineers, and computer scientists. "A path player game is a new innovative type of game which considers network flow problems from the viewpoint of network owners. This strategy enables modeling real-world problems and has many practical applications. Written clearly, with well-presented mathematics, this book is intended for graduate students, mathematicians, engineers, and computer scientists."--Jacket Front Matter....Pages 1-9 Introduction....Pages 1-5 The path player Game....Pages 1-78 Games on Polyhedra A Generalization....Pages 1-31 The Line Planning Game: An Application....Pages 1-37 Summary....Pages 1-3 Back Matter....Pages 1-15