This book is a comprehensive, self-contained survey of the theory and applications of differential games. No prior knowledge of game theory is assumed, although a basic knowledge of linear algebra, ordinary differential equations and mathematical programming is required. This book is designed as a research resource for researchers and scholars as well as a text for advanced undergraduates and first year graduate students. Those in all aspects of economics, as well as in industrial organizations, decision sciences, management science, marketing, operations research and quantitative methods will benefit from this book.